From 4c58621b9a8dc971b1cd64fcfce118b6393aa927 Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Thu, 31 Aug 2017 21:29:13 +0000 Subject: [PATCH 01/51] 0.8: Fix "use" to "user" --- book/book.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/book/book.tex b/book/book.tex index 25939090..82e0504f 100644 --- a/book/book.tex +++ b/book/book.tex @@ -494,7 +494,7 @@ \section{Running Jupyter} \section*{Contributor List} If you have a suggestion or correction, send it to -{\tt downey@allendowney.com}. Or if you are a Git use, send me a pull request! +{\tt downey@allendowney.com}. Or if you are a Git user, send me a pull request! If I make a change based on your feedback, I will add you to the contributor list, unless you ask to be omitted. \index{contributors} From e80685ceba1de5b8b15405d8b796ad07cbed6e4c Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Sun, 3 Sep 2017 18:50:16 +0000 Subject: [PATCH 02/51] add chap01mine.org --- code/chap01mine.org | 333 ++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 333 insertions(+) create mode 100644 code/chap01mine.org diff --git a/code/chap01mine.org b/code/chap01mine.org new file mode 100644 index 00000000..b3419eca --- /dev/null +++ b/code/chap01mine.org @@ -0,0 +1,333 @@ +#+title: ModSim + +#+property: header-args :exports both +#+options: num:nil toc:nil +#+latex_header: \usepackage[margin=1in]{geometry} + +* Exercise 1 +In reality, air resistance prevents the penny from reaching this velocity. +At about 20 meters per second, the force of air resistance equals the force of gravity and the penny stops accelerating. +As a simplification, let's assume that the acceleration of the penny is a until the penny reaches 20 meters per second, and then 0 afterwards. +What is the total time for the penny to fall 381 meters? + +#+BEGIN_SRC python :results output + a = 9.80665 + termV = 20 + totalDisplacement = 381 + + + def displacement(a, v0, v1): + return (v0 ** 2 + v1 ** 2) / 2 / a + + + def time(a, v0, v1): + return (v1 - v0) / a + + + dToTerm = displacement(a, 0, termV) + tToTerm = time(a, 0, termV) + + dLeft = totalDisplacement - tToTerm + + tAfterTerm = dLeft / termV + + tTot = tToTerm + tAfterTerm + + print("It will take %f seconds for the coin to fall" % tTot) +#+END_SRC + +#+RESULTS: +: It will take 20.987461 seconds for the coin to fall + +* Exercise 2 +What happens if you spell the name of a system variable wrong? +Edit the previous cell, change the spelling of wellesley, and run the cell again. + +#+BEGIN_SRC python :results output :session + from modsim import System + bikeshare = System(olin = 10, wellesley = 2) + bikeshare.olin + bikeshare.oln +#+END_SRC + +#+RESULTS: +: +: >>> 10 +: Traceback (most recent call last): +: File "", line 1, in +: File "/usr/lib64/python3.6/site-packages/pandas/core/generic.py", line 3081, in __getattr__ +: return object.__getattribute__(self, name) +: AttributeError: 'System' object has no attribute 'oln' + +* Exercise 3 +Add a third attribute called babson with initial value 0, and print the state of bikeshare again. + +#+BEGIN_SRC python :results output + from modsim import System + bikeshare = System(olin=10, wellesley=2, babson=3) + print(bikeshare) +#+END_SRC + +#+RESULTS: +: olin 10 +: wellesley 2 +: babson 3 +: dtype: int64 + +* Exercise 4 +In the cell below, write a few lines of code to move a bike from Wellesley to Olin and plot the updated state. + +#+name: systemProgress +#+BEGIN_SRC python :noweb yes + import pandas as pd + import matplotlib.pyplot as plt + plt.style.use('ggplot') + + + class SystemProgress: + def __init__(self, **kwargs): + self.history = pd.DataFrame({key: [kwargs[key]] for key in kwargs}) + self.status = self.history.tail() + + def add_bikes(self, **kwargs): + newStatus = self.status.copy() + for key in kwargs: + newStatus[key] += kwargs[key] + + self.history = pd.concat([self.history, newStatus], ignore_index=True) + self.status = newStatus +#+END_SRC + +#+RESULTS: systemProgress +: None + +#+BEGIN_SRC python :results file :noweb yes + <> # reference block with SystemProgress + + bikeshare = SystemProgress(olin=10, wellesley=9) + + bikeshare.add_bikes(olin=2, wellesley=-2) + bikeshare.add_bikes(olin=-3, wellesley=3) + + fig = bikeshare.history.plot() + fig.figure.savefig('bikeshareplot') + return 'bikeshareplot.png' # required for figure to show below +#+END_SRC + +#+RESULTS: +[[file:bikeshareplot.png]] + +* Exercise 5 +Define a function called =bike_to_olin= that moves a bike from Wellesley to Olin. +Run the new function and print or plot the results to confirm that it works. + +#+BEGIN_SRC python :results output + from modsim import System + + + def bike_to_olin(sys): + sys.olin += 1 + sys.wellesley -= 1 + + + bikeshare = System(olin=10, wellesley=10) + + for _ in range(3): + print(bikeshare) + bike_to_olin(bikeshare) +#+END_SRC + +#+RESULTS: +: olin 10 +: wellesley 10 +: dtype: int64 +: olin 11 +: wellesley 9 +: dtype: int64 +: olin 12 +: wellesley 8 +: dtype: int64 + +* Exercise 6 +The following function definitions start with print statements so they display messages when they run. +Run each of these functions (with appropriate arguments) and confirm that they do what you expect. +Adding print statements like this to functions is a useful debugging technique. +Keep it in mind! + +#+BEGIN_SRC python :results output :sesion + def move_bike_debug(n): + print('Running move_bike_debug with argument', n) + bikeshare.olin -= n + bikeshare.wellesley += n + + + def bike_to_wellesley_debug(): + print('Running bike_to_wellesley_debug') + move_bike_debug(1) + + + def bike_to_olin_debug(): + print('Running bike_to_olin_debug') + move_bike_debug(-1) + + + from modsim import System + bikeshare = System(olin=10, wellesley=10) + move_bike_debug(2) + print(bikeshare) + + bike_to_wellesley_debug() + print(bikeshare) + + bike_to_olin_debug() + print(bikeshare) +#+END_SRC + +#+RESULTS: +#+begin_example +Running move_bike_debug with argument 2 +olin 8 +wellesley 12 +dtype: int64 +Running bike_to_wellesley_debug +Running move_bike_debug with argument 1 +olin 7 +wellesley 13 +dtype: int64 +Running bike_to_olin_debug +Running move_bike_debug with argument -1 +olin 8 +wellesley 12 +dtype: int64 +#+end_example + +* Exercise 7 +Change the argument of legend to 'random string' and run decorate again. +You should get an error message that lists the valid location where you can put the legend. + +#+BEGIN_SRC python :results file :noweb yes + <> # reference code block with class definition + + bikeshare = SystemProgress(olin=10, wellesley=9) + + bikeshare.add_bikes(olin=2, wellesley=-2) + bikeshare.add_bikes(olin=-3, wellesley=3) + + fig = bikeshare.history.plot() + # strange, no error here, just the default behavior. However, I + # managed to get the error a different time, I am just unable to + # replicate it here. + fig.legend(loc='random') + fig.figure.savefig('legendtest.png') + return 'legendtest.png' # required for figure to show below +#+END_SRC + +#+RESULTS: +[[file:legendtest.png]] + + +* Exercise 8 +Write a version of decorate that takes an optional parameter named loc with default value 'best'. +It should pass the value of loc along as an argument to legend. +Test your function with different values of loc. +[[https://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.legend][You can see the list of legal values here]]. + +#+name: decorate +#+BEGIN_SRC python :results output + from matplotlib.pyplot import legend + + def decorate(fig, loc=0): + fig.legend(loc=loc) + fig.set_title('Olin-Wellesley Bikeshare') + fig.set_xlabel('Time Step (min)') + fig.set_ylabel('Number of bikes') + +#+END_SRC + +#+RESULTS: decorate + +#+BEGIN_SRC python :noweb yes :results file + # reference relevant blocks + <> + <> + + plt.style.use('ggplot') + + bikeshare = SystemProgress(olin=10, wellesley=9) + + bikeshare.add_bikes(olin=2, wellesley=-2) + bikeshare.add_bikes(olin=-3, wellesley=3) + + fig = bikeshare.history.plot() + decorate(fig, loc=0) + fig.figure.savefig('legendtest1.png') + + return 'legendtest1.png' # required for figure to show below +#+END_SRC + +#+RESULTS: +[[file:legendtest1.png]] + + +#+BEGIN_SRC python :noweb yes :results file + # reference relevant blocks + <> + <> + + plt.style.use('ggplot') + + bikeshare = SystemProgress(olin=10, wellesley=9) + + bikeshare.add_bikes(olin=2, wellesley=-2) + bikeshare.add_bikes(olin=-3, wellesley=3) + + fig = bikeshare.history.plot() + decorate(fig, loc=10) + + fig.figure.savefig('legendtest2.png') + + return 'legendtest2.png' # required for figure to show below +#+END_SRC + +#+RESULTS: +[[file:legendtest2.png]] + +* Exercise 9 +Combine the examples from the previous two sections to write a function named =run_steps= that takes three parameters, =named num_steps=, p1, and p2. +It should use a for loop to run step the number of times specified by =num_steps=, passing along the specified values of p1 and p2. +After each step, it should plot the updated state. +Test your function by creating a new System object, creating a new figure, and running =run_steps=. + +#+BEGIN_SRC python :results file :noweb yes + # reference relevant codeblocks + <> + <> + + from modsim import flip + plt.style.use('ggplot') + + def step(df, p1=0.5, p2=0.5): + print('p1 ->', p1) + print('p2 ->', p2) + if flip(p1): + df.add_bikes(olin=-1, wellesley=1) + if flip(p2): + df.add_bikes(olin=1, wellesley=-1) + + + def run_steps(df, num_steps, p1, p2): + for _ in range(num_steps): + step(df, p1, p2) + + + bikeshare = SystemProgress(olin=10, wellesley=2) + run_steps(bikeshare, 100, 0.6, 0.2) + ax = bikeshare.history.plot() + decorate(ax) + ax.figure.savefig('runsteps.png') + + return 'runsteps.png' +#+END_SRC + +#+RESULTS: +[[file:runsteps.png]] From c713a0bc5dc8bd0d29f9905b77043adf5e43bb32 Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Sun, 3 Sep 2017 18:54:34 +0000 Subject: [PATCH 03/51] add figures --- code/chap01fig/bikeshareplot.png | Bin 0 -> 29858 bytes code/chap01fig/legendtest.png | Bin 0 -> 29858 bytes code/chap01fig/legendtest1.png | Bin 0 -> 39165 bytes code/chap01fig/legendtest2.png | Bin 0 -> 39082 bytes code/chap01fig/runsteps.png | Bin 0 -> 44019 bytes code/chap01mine.org | 26 +++++++++++++------------- 6 files changed, 13 insertions(+), 13 deletions(-) create mode 100644 code/chap01fig/bikeshareplot.png create mode 100644 code/chap01fig/legendtest.png create mode 100644 code/chap01fig/legendtest1.png create mode 100644 code/chap01fig/legendtest2.png create mode 100644 code/chap01fig/runsteps.png diff --git a/code/chap01fig/bikeshareplot.png b/code/chap01fig/bikeshareplot.png new file mode 100644 index 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zV?YG}0ZLqc@MHj5E~RLCV9Fx5Y8CnY;KFd}&E@5%5C&or5}tzIvK=MEKH0n#bU(GN z;gB?K^g|&Shz8U;D;}HF+nd=~2_pvcn3M?NqH{4h`7B@&9{%j(V#0C>y&X0-%dmSp z4=poPL28I@hZj4LXAa4qd~bAXyEjiAxYvawx=>oW9_6=f#A;mUJn0lk=AK)^urzzW zjv3$*`s{5cE*k0acAWs2+`NN=MQy>~-PYSZdYYo`b!5dE$!m+A;sDRuzZC)MCf4SV z9bde-YDFeHIAB(b(iUNO^RodO6(!3^!n0zl65(J1lRorsB&DUD2Fy=O-ZS{O!TObK i2VgYvZ?CjwYGz~PLdlidxseq7F*f|&Acwi{ Date: Sun, 3 Sep 2017 18:58:29 +0000 Subject: [PATCH 04/51] add links to figures --- code/chap01mine.org | 10 +++++++++- 1 file changed, 9 insertions(+), 1 deletion(-) diff --git a/code/chap01mine.org b/code/chap01mine.org index c580eab8..4dad3086 100644 --- a/code/chap01mine.org +++ b/code/chap01mine.org @@ -117,6 +117,8 @@ In the cell below, write a few lines of code to move a bike from Wellesley to Ol #+RESULTS: [[file:chap01fig/bikeshareplot.png]] +[[https://github.com/concavegit/ModSimPy/blob/master/code/chap01fig/bikeshareplot.png]] + * Exercise 5 Define a function called =bike_to_olin= that moves a bike from Wellesley to Olin. Run the new function and print or plot the results to confirm that it works. @@ -225,6 +227,8 @@ You should get an error message that lists the valid location where you can put #+RESULTS: [[file:legendtest.png]] +[[https://github.com/concavegit/ModSimPy/blob/master/code/chap01fig/legendtest.png]] + * Exercise 8 Write a version of decorate that takes an optional parameter named loc with default value 'best'. @@ -267,7 +271,7 @@ Test your function with different values of loc. #+RESULTS: [[file:chap01fig/legendtest1.png]] - +[[https://github.com/concavegit/ModSimPy/blob/master/code/chap01fig/legendtest1.png]] #+BEGIN_SRC python :noweb yes :results file # reference relevant blocks @@ -292,6 +296,8 @@ Test your function with different values of loc. #+RESULTS: [[file:chap01fig/legendtest2.png]] +[[https://github.com/concavegit/ModSimPy/blob/master/code/chap01fig/legendtest2.png]] + * Exercise 9 Combine the examples from the previous two sections to write a function named =run_steps= that takes three parameters, =named num_steps=, p1, and p2. It should use a for loop to run step the number of times specified by =num_steps=, passing along the specified values of p1 and p2. @@ -331,3 +337,5 @@ Test your function by creating a new System object, creating a new figure, and r #+RESULTS: [[file:chap01fig/runsteps.png]] + +[[https://github.com/concavegit/ModSimPy/blob/master/code/chap01fig/runsteps.png]] From 3e01913a338cf25c450fafdc29038a5580a9b62d Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Sun, 3 Sep 2017 19:04:43 +0000 Subject: [PATCH 05/51] try changing exports value --- code/chap01mine.org | 27 +++++++++++++-------------- 1 file changed, 13 insertions(+), 14 deletions(-) diff --git a/code/chap01mine.org b/code/chap01mine.org index 4dad3086..c151b6a3 100644 --- a/code/chap01mine.org +++ b/code/chap01mine.org @@ -1,6 +1,5 @@ #+title: ModSim -#+property: header-args :exports both #+options: num:nil toc:nil #+latex_header: \usepackage[margin=1in]{geometry} @@ -10,7 +9,7 @@ At about 20 meters per second, the force of air resistance equals the force of g As a simplification, let's assume that the acceleration of the penny is a until the penny reaches 20 meters per second, and then 0 afterwards. What is the total time for the penny to fall 381 meters? -#+BEGIN_SRC python :results output +#+BEGIN_SRC python :results output :exports both a = 9.80665 termV = 20 totalDisplacement = 381 @@ -43,7 +42,7 @@ What is the total time for the penny to fall 381 meters? What happens if you spell the name of a system variable wrong? Edit the previous cell, change the spelling of wellesley, and run the cell again. -#+BEGIN_SRC python :results output :session +#+BEGIN_SRC python :results output :session :exports both from modsim import System bikeshare = System(olin = 10, wellesley = 2) bikeshare.olin @@ -62,7 +61,7 @@ Edit the previous cell, change the spelling of wellesley, and run the cell again * Exercise 3 Add a third attribute called babson with initial value 0, and print the state of bikeshare again. -#+BEGIN_SRC python :results output +#+BEGIN_SRC python :results output :exports both from modsim import System bikeshare = System(olin=10, wellesley=2, babson=3) print(bikeshare) @@ -78,7 +77,7 @@ Add a third attribute called babson with initial value 0, and print the state of In the cell below, write a few lines of code to move a bike from Wellesley to Olin and plot the updated state. #+name: systemProgress -#+BEGIN_SRC python :noweb yes +#+BEGIN_SRC python :noweb yes :exports both import pandas as pd import matplotlib.pyplot as plt plt.style.use('ggplot') @@ -101,7 +100,7 @@ In the cell below, write a few lines of code to move a bike from Wellesley to Ol #+RESULTS: systemProgress : None -#+BEGIN_SRC python :results file :noweb yes +#+BEGIN_SRC python :results file :noweb yes :exports both <> # reference block with SystemProgress bikeshare = SystemProgress(olin=10, wellesley=9) @@ -123,7 +122,7 @@ In the cell below, write a few lines of code to move a bike from Wellesley to Ol Define a function called =bike_to_olin= that moves a bike from Wellesley to Olin. Run the new function and print or plot the results to confirm that it works. -#+BEGIN_SRC python :results output +#+BEGIN_SRC python :results output :exports both from modsim import System @@ -156,7 +155,7 @@ Run each of these functions (with appropriate arguments) and confirm that they d Adding print statements like this to functions is a useful debugging technique. Keep it in mind! -#+BEGIN_SRC python :results output :sesion +#+BEGIN_SRC python :results output :sesion :exports both def move_bike_debug(n): print('Running move_bike_debug with argument', n) bikeshare.olin -= n @@ -186,7 +185,7 @@ Keep it in mind! #+END_SRC #+RESULTS: -#+begin_example +#+begin_example :exports both Running move_bike_debug with argument 2 olin 8 wellesley 12 @@ -207,7 +206,7 @@ dtype: int64 Change the argument of legend to 'random string' and run decorate again. You should get an error message that lists the valid location where you can put the legend. -#+BEGIN_SRC python :results file :noweb yes +#+BEGIN_SRC python :results file :noweb yes :exports both <> # reference code block with class definition bikeshare = SystemProgress(olin=10, wellesley=9) @@ -237,7 +236,7 @@ Test your function with different values of loc. [[https://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.legend][You can see the list of legal values here]]. #+name: decorate -#+BEGIN_SRC python :results output +#+BEGIN_SRC python :results output :exports both from matplotlib.pyplot import legend def decorate(fig, loc=0): @@ -250,7 +249,7 @@ Test your function with different values of loc. #+RESULTS: decorate -#+BEGIN_SRC python :noweb yes :results file +#+BEGIN_SRC python :noweb yes :results file :exports both # reference relevant blocks <> <> @@ -273,7 +272,7 @@ Test your function with different values of loc. [[file:chap01fig/legendtest1.png]] [[https://github.com/concavegit/ModSimPy/blob/master/code/chap01fig/legendtest1.png]] -#+BEGIN_SRC python :noweb yes :results file +#+BEGIN_SRC python :noweb yes :results file :exports both # reference relevant blocks <> <> @@ -304,7 +303,7 @@ It should use a for loop to run step the number of times specified by =num_steps After each step, it should plot the updated state. Test your function by creating a new System object, creating a new figure, and running =run_steps=. -#+BEGIN_SRC python :results file :noweb yes +#+BEGIN_SRC python :results file :noweb yes :exports both # reference relevant codeblocks <> <> From 7d2e29cf23daed405b062164bebe4f9779bfea0e Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Sun, 3 Sep 2017 19:08:34 +0000 Subject: [PATCH 06/51] Revert "add figures", change exports to both This reverts commit c713a0bc5dc8bd0d29f9905b77043adf5e43bb32. --- code/{chap01fig => }/bikeshareplot.png | Bin code/chap01fig/runsteps.png | Bin 44019 -> 0 bytes code/chap01mine.org | 36 +++++++++---------------- code/{chap01fig => }/legendtest.png | Bin code/{chap01fig => }/legendtest1.png | Bin code/{chap01fig => }/legendtest2.png | Bin code/runsteps.png | Bin 0 -> 41178 bytes 7 files changed, 13 insertions(+), 23 deletions(-) rename code/{chap01fig => }/bikeshareplot.png (100%) delete mode 100644 code/chap01fig/runsteps.png rename code/{chap01fig 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i2VgYvZ?CjwYGz~PLdlidxseq7F*f|&Acwi{> # reference block with SystemProgress bikeshare = SystemProgress(olin=10, wellesley=9) @@ -116,13 +116,11 @@ In the cell below, write a few lines of code to move a bike from Wellesley to Ol #+RESULTS: [[file:chap01fig/bikeshareplot.png]] -[[https://github.com/concavegit/ModSimPy/blob/master/code/chap01fig/bikeshareplot.png]] - * Exercise 5 Define a function called =bike_to_olin= that moves a bike from Wellesley to Olin. Run the new function and print or plot the results to confirm that it works. -#+BEGIN_SRC python :results output :exports both +#+BEGIN_SRC python :results output from modsim import System @@ -155,7 +153,7 @@ Run each of these functions (with appropriate arguments) and confirm that they d Adding print statements like this to functions is a useful debugging technique. Keep it in mind! -#+BEGIN_SRC python :results output :sesion :exports both +#+BEGIN_SRC python :results output :sesion def move_bike_debug(n): print('Running move_bike_debug with argument', n) bikeshare.olin -= n @@ -185,7 +183,7 @@ Keep it in mind! #+END_SRC #+RESULTS: -#+begin_example :exports both +#+begin_example Running move_bike_debug with argument 2 olin 8 wellesley 12 @@ -206,7 +204,7 @@ dtype: int64 Change the argument of legend to 'random string' and run decorate again. You should get an error message that lists the valid location where you can put the legend. -#+BEGIN_SRC python :results file :noweb yes :exports both +#+BEGIN_SRC python :results file :noweb yes <> # reference code block with class definition bikeshare = SystemProgress(olin=10, wellesley=9) @@ -226,9 +224,6 @@ You should get an error message that lists the valid location where you can put #+RESULTS: [[file:legendtest.png]] -[[https://github.com/concavegit/ModSimPy/blob/master/code/chap01fig/legendtest.png]] - - * Exercise 8 Write a version of decorate that takes an optional parameter named loc with default value 'best'. It should pass the value of loc along as an argument to legend. @@ -236,7 +231,7 @@ Test your function with different values of loc. [[https://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.legend][You can see the list of legal values here]]. #+name: decorate -#+BEGIN_SRC python :results output :exports both +#+BEGIN_SRC python :results output from matplotlib.pyplot import legend def decorate(fig, loc=0): @@ -249,7 +244,7 @@ Test your function with different values of loc. #+RESULTS: decorate -#+BEGIN_SRC python :noweb yes :results file :exports both +#+BEGIN_SRC python :noweb yes :results file # reference relevant blocks <> <> @@ -270,9 +265,8 @@ Test your function with different values of loc. #+RESULTS: [[file:chap01fig/legendtest1.png]] -[[https://github.com/concavegit/ModSimPy/blob/master/code/chap01fig/legendtest1.png]] -#+BEGIN_SRC python :noweb yes :results file :exports both +#+BEGIN_SRC python :noweb yes :results file # reference relevant blocks <> <> @@ -295,15 +289,13 @@ Test your function with different values of loc. #+RESULTS: [[file:chap01fig/legendtest2.png]] -[[https://github.com/concavegit/ModSimPy/blob/master/code/chap01fig/legendtest2.png]] - * Exercise 9 Combine the examples from the previous two sections to write a function named =run_steps= that takes three parameters, =named num_steps=, p1, and p2. It should use a for loop to run step the number of times specified by =num_steps=, passing along the specified values of p1 and p2. After each step, it should plot the updated state. Test your function by creating a new System object, creating a new figure, and running =run_steps=. -#+BEGIN_SRC python :results file :noweb yes :exports both +#+BEGIN_SRC python :results file :noweb yes # reference relevant codeblocks <> <> @@ -336,5 +328,3 @@ Test your function by creating a new System object, creating a new figure, and r #+RESULTS: [[file:chap01fig/runsteps.png]] - -[[https://github.com/concavegit/ModSimPy/blob/master/code/chap01fig/runsteps.png]] diff --git a/code/chap01fig/legendtest.png b/code/legendtest.png similarity index 100% rename from code/chap01fig/legendtest.png rename to code/legendtest.png diff --git a/code/chap01fig/legendtest1.png b/code/legendtest1.png similarity index 100% rename from code/chap01fig/legendtest1.png rename to code/legendtest1.png diff --git a/code/chap01fig/legendtest2.png b/code/legendtest2.png similarity index 100% rename from code/chap01fig/legendtest2.png rename to code/legendtest2.png diff --git a/code/runsteps.png 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zq1Q8snvSkeg+5fm_|iF~W^iw#XI$}#ULNIAmQA1_Q^CxE%vjJZ(BLJ22xx{iwvi4x z#X(G_9jP3Hq8>>BP&!tB-?RFOTed z#bNNHqy!T#T!9@O9rquwmNc48%*MWf!ptYnQ@seyG13DGDP~?Bf|E-`8wHv;%r(Fr z1Mpse#-om|v*uVlAkU!|q7|M@U}$grc+-L)h)cnAzw3B+I$|{ZS$<9Pw&k1`zH`Uk sR}AdH@nV=vT>6hgeL;o)kKx__)LX|onQ1mE!gmqDj8J;B|Bb?b0d`I_NdN!< literal 0 HcmV?d00001 From 526161bfb3caa52f0b5790b21fbce1ca26fa05b5 Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Sun, 3 Sep 2017 19:09:15 +0000 Subject: [PATCH 07/51] actually change exports to both this time --- code/chap01mine.org | 26 +++++++++++++------------- 1 file changed, 13 insertions(+), 13 deletions(-) diff --git a/code/chap01mine.org b/code/chap01mine.org index 873a0908..2868c37b 100644 --- a/code/chap01mine.org +++ b/code/chap01mine.org @@ -9,7 +9,7 @@ At about 20 meters per second, the force of air resistance equals the force of g As a simplification, let's assume that the acceleration of the penny is a until the penny reaches 20 meters per second, and then 0 afterwards. What is the total time for the penny to fall 381 meters? -#+BEGIN_SRC python :results output +#+BEGIN_SRC python :results output :exports both a = 9.80665 termV = 20 totalDisplacement = 381 @@ -42,7 +42,7 @@ What is the total time for the penny to fall 381 meters? What happens if you spell the name of a system variable wrong? Edit the previous cell, change the spelling of wellesley, and run the cell again. -#+BEGIN_SRC python :results output :session +#+BEGIN_SRC python :results output :session :exports both from modsim import System bikeshare = System(olin = 10, wellesley = 2) bikeshare.olin @@ -61,7 +61,7 @@ Edit the previous cell, change the spelling of wellesley, and run the cell again * Exercise 3 Add a third attribute called babson with initial value 0, and print the state of bikeshare again. -#+BEGIN_SRC python :results output +#+BEGIN_SRC python :results output :exports both from modsim import System bikeshare = System(olin=10, wellesley=2, babson=3) print(bikeshare) @@ -77,7 +77,7 @@ Add a third attribute called babson with initial value 0, and print the state of In the cell below, write a few lines of code to move a bike from Wellesley to Olin and plot the updated state. #+name: systemProgress -#+BEGIN_SRC python :noweb yes +#+BEGIN_SRC python :noweb yes :exports both import pandas as pd import matplotlib.pyplot as plt plt.style.use('ggplot') @@ -100,7 +100,7 @@ In the cell below, write a few lines of code to move a bike from Wellesley to Ol #+RESULTS: systemProgress : None -#+BEGIN_SRC python :results file :noweb yes +#+BEGIN_SRC python :results file :noweb yes :exports both <> # reference block with SystemProgress bikeshare = SystemProgress(olin=10, wellesley=9) @@ -120,7 +120,7 @@ In the cell below, write a few lines of code to move a bike from Wellesley to Ol Define a function called =bike_to_olin= that moves a bike from Wellesley to Olin. Run the new function and print or plot the results to confirm that it works. -#+BEGIN_SRC python :results output +#+BEGIN_SRC python :results output :exports both from modsim import System @@ -153,7 +153,7 @@ Run each of these functions (with appropriate arguments) and confirm that they d Adding print statements like this to functions is a useful debugging technique. Keep it in mind! -#+BEGIN_SRC python :results output :sesion +#+BEGIN_SRC python :results output :sesion :exports both def move_bike_debug(n): print('Running move_bike_debug with argument', n) bikeshare.olin -= n @@ -183,7 +183,7 @@ Keep it in mind! #+END_SRC #+RESULTS: -#+begin_example +#+begin_example :exports both Running move_bike_debug with argument 2 olin 8 wellesley 12 @@ -204,7 +204,7 @@ dtype: int64 Change the argument of legend to 'random string' and run decorate again. You should get an error message that lists the valid location where you can put the legend. -#+BEGIN_SRC python :results file :noweb yes +#+BEGIN_SRC python :results file :noweb yes :exports both <> # reference code block with class definition bikeshare = SystemProgress(olin=10, wellesley=9) @@ -231,7 +231,7 @@ Test your function with different values of loc. [[https://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.legend][You can see the list of legal values here]]. #+name: decorate -#+BEGIN_SRC python :results output +#+BEGIN_SRC python :results output :exports both from matplotlib.pyplot import legend def decorate(fig, loc=0): @@ -244,7 +244,7 @@ Test your function with different values of loc. #+RESULTS: decorate -#+BEGIN_SRC python :noweb yes :results file +#+BEGIN_SRC python :noweb yes :results file :exports both # reference relevant blocks <> <> @@ -266,7 +266,7 @@ Test your function with different values of loc. #+RESULTS: [[file:chap01fig/legendtest1.png]] -#+BEGIN_SRC python :noweb yes :results file +#+BEGIN_SRC python :noweb yes :results file :exports both # reference relevant blocks <> <> @@ -295,7 +295,7 @@ It should use a for loop to run step the number of times specified by =num_steps After each step, it should plot the updated state. Test your function by creating a new System object, creating a new figure, and running =run_steps=. -#+BEGIN_SRC python :results file :noweb yes +#+BEGIN_SRC python :results file :noweb yes :exports both # reference relevant codeblocks <> <> From 345a85f6236cb639f8301944b82a012e96aa5e04 Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Sun, 3 Sep 2017 19:11:26 +0000 Subject: [PATCH 08/51] re-creat fig directory --- code/{ => chap01fig}/bikeshareplot.png | Bin code/{ => chap01fig}/legendtest.png | Bin code/{ => chap01fig}/legendtest1.png | Bin code/{ => chap01fig}/legendtest2.png | Bin code/chap01fig/runsteps.png | Bin 0 -> 44470 bytes code/chap01mine.org | 2 +- code/runsteps.png | Bin 41178 -> 0 bytes 7 files changed, 1 insertion(+), 1 deletion(-) rename code/{ => chap01fig}/bikeshareplot.png (100%) rename code/{ => chap01fig}/legendtest.png (100%) rename code/{ => chap01fig}/legendtest1.png (100%) rename code/{ => chap01fig}/legendtest2.png (100%) create mode 100644 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deletion(-) diff --git a/code/chap01mine.org b/code/chap01mine.org index e5f776ce..b34684e3 100644 --- a/code/chap01mine.org +++ b/code/chap01mine.org @@ -218,7 +218,7 @@ You should get an error message that lists the valid location where you can put # replicate it here. fig.legend(loc='random') fig.figure.savefig('chap01fig/legendtest.png') - return 'legendtest.png' # required for figure to show below + return 'chap01fig/legendtest.png' # required for figure to show below #+END_SRC #+RESULTS: From 074436be76aea37721290376b472669dcaa19d2d Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Sun, 3 Sep 2017 19:12:55 +0000 Subject: [PATCH 10/51] render filename change --- code/chap01fig/runsteps.png | Bin 44470 -> 41414 bytes code/chap01mine.org | 2 +- 2 files changed, 1 insertion(+), 1 deletion(-) diff --git a/code/chap01fig/runsteps.png b/code/chap01fig/runsteps.png index 7f55f7f62fe7a258a5b593a4d752d428c07028e8..4b03be9b5a010209db783c9fd1aad5c1c470aa35 100644 GIT binary patch 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cell runs successfully, it produces no output other than this message.')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The penny myth\n", + "\n", + "The following cells contain code from the beginning of Chapter 1.\n", + "\n", + "`modsim` defines `UNITS`, which contains variables representing pretty much every unit you've ever heard of. The following to lines create new variables named `meter` and `second`." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "meter = UNITS.meter\n", + "second = UNITS.second" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To find out what units are defined, type `UNITS.` in the next cell and then press TAB. You should see a pop-up menu with a list of units." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Create a variable named `a` and display its value:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "9.8 meter/second2" + ], + "text/latex": [ + "$9.8\\ \\frac{\\mathrm{meter}}{\\mathrm{second}^{2}}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a = 9.8 * meter / second**2\n", + "a" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "Create `t` and display its value:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "4 second" + ], + "text/latex": [ + "$4\\ \\mathrm{second}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t = 4 * second\n", + "t" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "If you create a variable and don't display the value, you don't get any output:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "h = a * t**2" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "Add a second line to the previous cell to display the value of `h`.\n", + "\n", + "Now let's solve the falling penny problem. The following lines set `h` to the height of the Empire State Building and compute the time it would take a penny to fall, assuming constant acceleration." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "8.817885349720552 second" + ], + "text/latex": [ + "$8.817885349720552\\ \\mathrm{second}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "h = 381 * meter\n", + "t = sqrt(2 * h / a)\n", + "t" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "Given `t`, we can compute the velocity of the penny when it lands." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "86.41527642726142 meter/second" + ], + "text/latex": [ + "$86.41527642726142\\ \\frac{\\mathrm{meter}}{\\mathrm{second}}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "v = a * t\n", + "v" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "We can convert from one set of units to another like this:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "mile = UNITS.mile\n", + "hour= UNITS.hour" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "193.30546802805438 mile/hour" + ], + "text/latex": [ + "$193.30546802805438\\ \\frac{\\mathrm{mile}}{\\mathrm{hour}}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "v.to(mile/hour)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** In reality, air resistance prevents the penny from reaching this velocity. At about 20 meters per second, the force of air resistance equals the force of gravity and the penny stops accelerating.\n", + "\n", + "As a simplification, let's assume that the acceleration of the penny is `a` until the penny reaches 20 meters per second, and then 0 afterwards. What is the total time for the penny to fall 381 meters?" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "It will take 20.987461 seconds for the coin to fall\n" + ] + } + ], + "source": [ + "a = 9.80665\n", + "termV = 20\n", + "totalDisplacement = 381\n", + "\n", + "\n", + "def displacement(a, v0, v1):\n", + " return (v0 ** 2 + v1 ** 2) / 2 / a\n", + "\n", + "\n", + "def time(a, v0, v1):\n", + " return (v1 - v0) / a\n", + "\n", + "\n", + "dToTerm = displacement(a, 0, termV)\n", + "tToTerm = time(a, 0, termV)\n", + "\n", + "dLeft = totalDisplacement - tToTerm\n", + "\n", + "tAfterTerm = dLeft / termV\n", + "\n", + "tTot = tToTerm + tAfterTerm\n", + "\n", + "print(\"It will take %f seconds for the coin to fall\" % tTot)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Modeling a bikeshare system" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We'll start with a `System` object that represents the number of bikes at each station." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "bikeshare = System(olin=10, wellesley=2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If you display the value of a `System` object, it lists the system variables and their values (not necessarily in the order you defined them):" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "

" + ], + "text/plain": [ + "olin 10\n", + "wellesley 2\n", + "dtype: int64" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bikeshare" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can access the system variables using dot notation." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "10" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bikeshare.olin" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "ename": "AttributeError", + "evalue": "'System' object has no attribute 'wellesle'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mbikeshare\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwellesle\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m/usr/lib64/python3.6/site-packages/pandas/core/generic.py\u001b[0m in \u001b[0;36m__getattr__\u001b[0;34m(self, name)\u001b[0m\n\u001b[1;32m 3079\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mname\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_info_axis\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3080\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 3081\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mobject\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__getattribute__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3082\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3083\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__setattr__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mAttributeError\u001b[0m: 'System' object has no attribute 'wellesle'" + ] + } + ], + "source": [ + "bikeshare.wellesle" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** What happens if you spell the name of a system variable wrong? Edit the previous cell, change the spelling of `wellesley`, and run the cell again.\n", + "\n", + "The error message uses the word \"attribute\", which is another name for what we are calling a system variable. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** Add a third attribute called `babson` with initial value 0, and print the state of `bikeshare` again." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "olin 10\n", + "wellesley 2\n", + "babson 0\n", + "dtype: int64\n" + ] + } + ], + "source": [ + "bikeshare = System(olin=10, wellesley=2, babson=0)\n", + "print(bikeshare)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Plotting\n", + "\n", + "`newfig` creates a new figure, which should appear either in the notebook or in a new window, depending on which magic command you ran in the first code cell.\n", + "\n", + "`plot` adds a data point to the figure; in this example, you should see a red square and a blue circle representing the number of bikes at each station." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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The following lines move a bike from Olin to Wellesley." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + "olin 9\n", + "wellesley 3\n", + "babson 0\n", + "dtype: int64" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bikeshare.olin -= 1\n", + "bikeshare.wellesley += 1\n", + "bikeshare" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And the following lines plot the updated state of the system. You should see two new data points with lines connecting them to the old data points." + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(bikeshare.olin, 'rs-')\n", + "plot(bikeshare.wellesley, 'bo-')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** In the cell below, write a few lines of code to move a bike from Wellesley to Olin and plot the updated state." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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[ + "def plot_state():\n", + " plot(bikeshare.olin, 'rs-', label='Olin')\n", + " plot(bikeshare.wellesley, 'bo-', label='Wellesley')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now when we run the functions, it runs the statements inside." + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + "olin 7\n", + "wellesley 5\n", + "babson 0\n", + "dtype: int64" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "bike_to_wellesley()\n", + "plot_state()\n", + "bikeshare" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You should see two more data points that represent the current state of the system. If the figure is embedded in the notebook, you might have to scroll up to see the change.\n", + "\n", + "One common error is to omit the parentheses, which has the effect of looking up the function, but not running it." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bike_to_wellesley" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The output indicates that `bike_to_wellesley` is a function defined in a \"namespace\" called `__main__`, but you don't have to understand what that means." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** Define a function called `bike_to_olin` that moves a bike from Wellesley to Olin. Run the new function and print or plot the results to confirm that it works." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "olin 10\n", + "wellesley 10\n", + "dtype: int64\n", + "olin 11\n", + "wellesley 9\n", + "dtype: int64\n", + "olin 12\n", + "wellesley 8\n", + "dtype: int64\n" + ] + } + ], + "source": [ + "from modsim import System\n", + "\n", + "\n", + "def bike_to_olin(sys):\n", + " sys.olin += 1\n", + " sys.wellesley -= 1\n", + "\n", + "\n", + "bikeshare = System(olin=10, wellesley=10)\n", + "\n", + "for _ in range(3):\n", + " print(bikeshare)\n", + " bike_to_olin(bikeshare)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Parameters" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Before we go on, let's start with a new state object and a new plot." + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "def bike_to_olin():\n", + " move_bike(-1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "When we define these functions, we replace the old definitions with the new ones.\n", + "\n", + "Now we can test them and update the figure." + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + "olin 10\n", + "wellesley 2\n", + "dtype: int64" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "bike_to_olin()\n", + "plot_state()\n", + "bikeshare" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "At this point, `move_bike` is complicated enough that we should add some documentation. The text in triple-quotation marks is in English, not Python. It doesn't do anything when the program runs, but it helps people understand what this function does and how to use it." + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def move_bike(n):\n", + " \"\"\"Move bikes.\n", + " \n", + " n: number of bikes: positive moves from Olin to Wellesley;\n", + " negative moves from Wellesley to Olin\n", + " \"\"\"\n", + " bikeshare.olin -= n\n", + " bikeshare.wellesley += n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Whenever you make a figure, you should put labels on the axes to explain what they mean and what units they are measured in. Here's how:" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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jzGxCKqtkvLu/Vvb+NjN7DzjLzFasMkWOiIj0A7kHA5jZOmY2FZgEDAS2c/cN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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "label_axes(title='Olin-Wellesley Bikeshare',\n", + " xlabel='Time step (min)', \n", + " ylabel='Number of bikes')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Again, you might have to scroll up to see the effect.\n", + "\n", + "And you can save figures as files; the suffix of the filename indicates the format you want. This example saves the current figure in a PDF file." + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure to file chap01_fig01.pdf\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "savefig('chap01_fig01.pdf')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** The following function definitions start with print statements so they display messages when they run. Run each of these functions (with appropriate arguments) and confirm that they do what you expect.\n", + "\n", + "Adding print statements like this to functions is a useful debugging technique. Keep it in mind!" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def move_bike_debug(n):\n", + " print('Running move_bike_debug with argument', n)\n", + " bikeshare.olin -= n\n", + " bikeshare.wellesley += n\n", + " \n", + "def bike_to_wellesley_debug():\n", + " print('Running bike_to_wellesley_debug')\n", + " move_bike_debug(1)\n", + " \n", + "def bike_to_olin_debug():\n", + " print('Running bike_to_olin_debug')\n", + " move_bike_debug(-1)" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running move_bike_debug with argument 2\n", + "olin 8\n", + "wellesley 12\n", + "dtype: int64\n" + ] + } + ], + "source": [ + "bikeshare = System(olin=10, wellesley=10)\n", + "move_bike_debug(2)\n", + "print(bikeshare)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running bike_to_wellesley_debug\n", + "Running move_bike_debug with argument 1\n", + "olin 7\n", + "wellesley 13\n", + "dtype: int64\n" + ] + } + ], + "source": [ + "bike_to_wellesley_debug()\n", + "print(bikeshare)" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running bike_to_olin_debug\n", + "Running move_bike_debug with argument -1\n", + "olin 8\n", + "wellesley 12\n", + "dtype: int64\n" + ] + } + ], + "source": [ + "bike_to_olin_debug()\n", + "print(bikeshare)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Conditionals" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The function `flip` takes a probability and returns either `True` or `False`, which are special values defined by Python.\n", + "\n", + "In the following example, the probability is 0.7 or 70%. If you run this cell several times, you should get `True` about 70% of the time and `False` about 30%." + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "flip(0.7)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Modify the argument in the previous cell and see what effect it has.\n", + "\n", + "In the following example, we use `flip` as part of an if statement. If the result from `flip` is `True`, we print `heads`; otherwise we do nothing." + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "heads\n" + ] + } + ], + "source": [ + "if flip(0.7):\n", + " print('heads')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With an else clause, we can print heads or tails depending on whether `flip` returns `True` or `False`." + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "tails\n" + ] + } + ], + "source": [ + "if flip(0.7):\n", + " print('heads')\n", + "else:\n", + " print('tails')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now let's get back to the bikeshare system. Again let's start with a new `System` object and a new plot." + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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In any given minute, a student might ride from Olin to Wellesley, from Wellesley to Olin, or both, or neither, depending on the results of `flip`." + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def step():\n", + " if flip(0.7):\n", + " bike_to_wellesley()\n", + " print('Moving a bike to Wellesley')\n", + " \n", + " if flip(0.6):\n", + " bike_to_olin()\n", + " print('Moving a bike to Olin')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If you run `step` a few times, it should update the current figure. In each time step, the number of bikes at each location might go up, down, or stay the same." + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Moving a bike to Wellesley\n", + "Moving a bike to Olin\n" + ] + }, + { + "data": { + "text/html": [ + "
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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "step()\n", + "plot_state()\n", + "bikeshare" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The following function labels the axes and adds a legend to the figure." + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def decorate(): \n", + " legend(loc='random string')\n", + " label_axes(title='Olin-Wellesley Bikeshare',\n", + " xlabel='Time step (min)', \n", + " ylabel='Number of bikes')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As always, when you define a function, it has no effect until you run it." + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/lib64/python3.6/site-packages/matplotlib/axes/_axes.py:545: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n", + " warnings.warn(\"No labelled objects found. \"\n" + ] + }, + { + "data": { + "image/png": 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MWUREeqfVTWf7AAsAo9z9Znc/k0gyPzGzhWtstzUwJG03yd0nAdsDCwFbFR20iIg0rtWJ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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "decorate()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** Change the argument of `legend` to `'random string'` and run `decorate` again. You should get an error message that lists the valid location where you can put the legend." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Optional parameters" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Again let's start with a new `System` object and a new plot." + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "bikeshare = System(olin=10, wellesley=2)\n", + "newfig()\n", + "plot_state()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can make `step` more general by adding parameters. Because these parameters have default values, they are optional." + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def step(p1=0.5, p2=0.5):\n", + " print('p1 ->', p1)\n", + " print('p2 ->', p2)\n", + " if flip(p1):\n", + " bike_to_wellesley()\n", + " \n", + " if flip(p2):\n", + " bike_to_olin()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I added print statements, so each time we run `step` we can see the arguments.\n", + "\n", + "If you provide no arguments, you get the default values:" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "p1 -> 0.5\n", + "p2 -> 0.5\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "step()\n", + "plot_state()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If you provide one argument, it overrides the first parameter." + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "p1 -> 0.4\n", + "p2 -> 0.5\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "step(0.4)\n", + "plot_state()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If you provide two arguments, they override both." + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "p1 -> 0.4\n", + "p2 -> 0.2\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "step(0.4, 0.2)\n", + "plot_state()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can specify the names of the parameters you want to override." + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "p1 -> 0.4\n", + "p2 -> 0.2\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "step(p1=0.4, p2=0.2)\n", + "plot_state()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Which means you can override the second parameter and use the default for the first." + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "p1 -> 0.5\n", + "p2 -> 0.2\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "step(p2=0.2)\n", + "plot_state()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can combine both forms, but it is not very common:" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "p1 -> 0.4\n", + "p2 -> 0.2\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "step(0.4, p2=0.2)\n", + "plot_state()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "One reason it's not common is that it's error prone. The following example causes an error." + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# If you remove the # at the beginning of the next line and run it, you get\n", + "# SyntaxError: positional argument follows keyword argument\n", + "\n", + "#step(p1=0.4, 0.2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "From the error message, you might infer that arguments like `step(0.4, 0.2)` are called \"positional\" and arguments like `step(p1=0.4, p2=0.2)` are called \"keyword arguments\"." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** Write a version of `decorate` that takes an optional parameter named `loc` with default value `'best'`. It should pass the value of `loc` along as an argument to `legend.` Test your function with different values of `loc`. [You can see the list of legal values here](https://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.legend)." + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def decorate(loc=0):\n", + " legend(loc=loc)\n", + " label_axes(title = 'Olin-Wellesley Bikeshare',\n", + " xlabel = 'Time Step (min)',\n", + " ylabel = 'Number of bikes')" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/lib64/python3.6/site-packages/matplotlib/axes/_axes.py:545: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n", + " warnings.warn(\"No labelled objects found. \"\n" + ] + }, + { + "data": { + "image/png": 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zOzGVVTLe3V8v+/0uM/sQOMfMlq0yRY6IiPQDuQcDmNnaZjYZuAkYCGzv7hv2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\nAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "decorate()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## For loop" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Before we go on, I'll redefine `step` without the print statements." + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def step(p1=0.5, p2=0.5):\n", + " if flip(p1):\n", + " bike_to_wellesley()\n", + " \n", + " if flip(p2):\n", + " bike_to_olin()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And let's start again with a new `System` object and a new figure." + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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X1RWYiIiUhtjRY939GeAZMzsVGOHuf6+esEREpFQkGmbc3VsVOxARESlNSeej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\nb5blrVnVPfJfhO6grVm9J1d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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "bikeshare = System(olin=10, wellesley=2)\n", + "newfig()\n", + "plot_state()\n", + "decorate()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can use a for loop to move 4 bikes from Olin to Wellesley." + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for i in range(4):\n", + " bike_to_wellesley()\n", + " plot_state()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Or we can simulate 4 random time steps." + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for i in range(4):\n", + " step()\n", + " plot_state()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If each step corresponds to a minute, we can simulate the rest of the hour like this." + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for i in range(52):\n", + " step(p1=0.4, p2=0.2)\n", + " plot_state()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** Combine the examples from the previous two sections to write a function named `run_steps` that takes three parameters, named `num_steps`, `p1`, and `p2`. It should use a for loop to run `step` the number of times specified by `num_steps`, passing along the specified values of `p1` and `p2`. After each step, it should plot the updated state.\n", + "\n", + "Test your function by creating a new `System` object, creating a new figure, and running `run_steps`." + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def run_steps(num_steps, p1, p2):\n", + " for _ in range(num_steps):\n", + " step(p1, p2)\n", + " plot_state()" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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165ns1yzpkySJ+zGlejNCVDFlEQ/vfSkD6a8HuoJwZPk21hO5DpB4xMlkrMcR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\nd4ArgHbAAx/33n8lUe6PgPc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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "run_steps(100,0.2,0.8)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python3.6", + "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": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/chap01mine.org b/code/chap01mine.org index b1b65f0a..49b5df57 100644 --- a/code/chap01mine.org +++ b/code/chap01mine.org @@ -1,7 +1,15 @@ -#+title: ModSim - -#+options: num:nil toc:nil +#+title: Chapter 1 Notebook +#+author: Kawin Nikomborirak #+latex_header: \usepackage[margin=1in]{geometry} +#+options: toc:nil num:nil + +#+BEGIN_SRC ipython :session + %matplotlib inline + from modsim import * + plt.style.use('ggplot') +#+END_SRC + +#+RESULTS: * Exercise 1 In reality, air resistance prevents the penny from reaching this velocity. @@ -9,7 +17,7 @@ At about 20 meters per second, the force of air resistance equals the force of g As a simplification, let's assume that the acceleration of the penny is a until the penny reaches 20 meters per second, and then 0 afterwards. What is the total time for the penny to fall 381 meters? -#+BEGIN_SRC python :results output :exports both +#+BEGIN_SRC ipython :session :results output a = 9.80665 termV = 20 totalDisplacement = 381 @@ -25,13 +33,9 @@ What is the total time for the penny to fall 381 meters? dToTerm = displacement(a, 0, termV) tToTerm = time(a, 0, termV) - dLeft = totalDisplacement - tToTerm - tAfterTerm = dLeft / termV - tTot = tToTerm + tAfterTerm - print("It will take %f seconds for the coin to fall" % tTot) #+END_SRC @@ -39,292 +43,234 @@ What is the total time for the penny to fall 381 meters? : It will take 20.987461 seconds for the coin to fall * Exercise 2 -What happens if you spell the name of a system variable wrong? +Exercise: What happens if you spell the name of a system variable wrong? Edit the previous cell, change the spelling of wellesley, and run the cell again. -#+BEGIN_SRC python :results output :session :exports both +#+BEGIN_SRC python :session :results output from modsim import System - bikeshare = System(olin = 10, wellesley = 2) - bikeshare.olin - bikeshare.oln + + bikeshare = System(olin=10,wellesley=2) + bikeshare.wellesle #+END_SRC #+RESULTS: : -: >>> 10 -: Traceback (most recent call last): +: >>> >>> Traceback (most recent call last): : File "", line 1, in : File "/usr/lib64/python3.6/site-packages/pandas/core/generic.py", line 3081, in __getattr__ : return object.__getattribute__(self, name) -: AttributeError: 'System' object has no attribute 'oln' +: AttributeError: 'System' object has no attribute 'wellesle' * Exercise 3 -Add a third attribute called babson with initial value 0, and print the state of bikeshare again. +Exercise: Add a third attribute called babson with initial value 0, and print the state of bikeshare again. -#+BEGIN_SRC python :results output :exports both +#+BEGIN_SRC ipython :session :results output from modsim import System - bikeshare = System(olin=10, wellesley=2, babson=3) + + bikeshare = System(olin=1, babson=1, wellesley=0) print(bikeshare) #+END_SRC #+RESULTS: -: olin 10 -: wellesley 2 -: babson 3 +: olin 1 +: babson 1 +: wellesley 0 : dtype: int64 * Exercise 4 In the cell below, write a few lines of code to move a bike from Wellesley to Olin and plot the updated state. -#+name: systemProgress -#+BEGIN_SRC python :noweb yes :exports both - import pandas as pd - import matplotlib.pyplot as plt - plt.style.use('ggplot') - - - class SystemProgress: - def __init__(self, **kwargs): - self.history = pd.DataFrame({key: [kwargs[key]] for key in kwargs}) - self.status = self.history.tail(0) - - def add_bikes(self, **kwargs): - newStatus = self.status.copy() - for key in kwargs: - newStatus[key] += kwargs[key] - - self.history = pd.concat([self.history, newStatus], ignore_index=True) - self.status = newStatus -#+END_SRC - -#+RESULTS: systemProgress -: None - -#+BEGIN_SRC python :results file :noweb yes :exports both - <> # reference block with SystemProgress +#+BEGIN_SRC ipython :session :exports both :file chap01fig/plot.png :results raw drawer + %matplotlib inline + from modsim import (System, plot, newfig) - bikeshare = SystemProgress(olin=10, wellesley=9) - - bikeshare.add_bikes(olin=2, wellesley=-2) - bikeshare.add_bikes(olin=-3, wellesley=3) + bikeshare = System(olin=10, wellesley=10) - fig = bikeshare.history.plot() - fig.figure.savefig('chap01fig/bikeshareplot') - return 'chap01fig/bikeshareplot.png' # required for figure to show below + newfig() + plot(bikeshare.olin, 'r8-') + plot(bikeshare.wellesley, 'bo-') + bikeshare.olin -= 1 + bikeshare.wellesley += 1 + plot(bikeshare.olin, 'r8-') + plot(bikeshare.wellesley, 'bo-') #+END_SRC #+RESULTS: -[[file:chap01fig/bikeshareplot.png]] +:RESULTS: +[[file:chap01fig/plot.png]] +:END: * Exercise 5 Define a function called =bike_to_olin= that moves a bike from Wellesley to Olin. Run the new function and print or plot the results to confirm that it works. -#+BEGIN_SRC python :results output :exports both - from modsim import System - - - def bike_to_olin(sys): - sys.olin += 1 - sys.wellesley -= 1 +#+BEGIN_SRC ipython :session :file chap01fig/bike_to_olin.png :results raw drawer :exports both + def bike_to_olin(): + bikeshare.olin += 1 + bikeshare.wellesley -= 1 - - bikeshare = System(olin=10, wellesley=10) + newfig() for _ in range(3): - print(bikeshare) - bike_to_olin(bikeshare) + plot(bikeshare.olin, 'r8-') + plot(bikeshare.wellesley, 'bo-') + bike_to_olin() #+END_SRC #+RESULTS: -: olin 10 -: wellesley 10 -: dtype: int64 -: olin 11 -: wellesley 9 -: dtype: int64 -: olin 12 -: wellesley 8 -: dtype: int64 +:RESULTS: +[[file:chap01fig/bike_to_olin.png]] +:END: * Exercise 6 The following function definitions start with print statements so they display messages when they run. Run each of these functions (with appropriate arguments) and confirm that they do what you expect. -Adding print statements like this to functions is a useful debugging technique. -Keep it in mind! - -#+BEGIN_SRC python :results output :sesion :exports both - def move_bike_debug(n): - print('Running move_bike_debug with argument', n) - bikeshare.olin -= n - bikeshare.wellesley += n - - - def bike_to_wellesley_debug(): - print('Running bike_to_wellesley_debug') - move_bike_debug(1) +#+BEGIN_SRC ipython :session :results raw drawer +def move_bike_debug(n): + print('Running move_bike_debug with argument', n) + bikeshare.olin -= n + bikeshare.wellesley += n + +def bike_to_wellesley_debug(): + print('Running bike_to_wellesley_debug') + move_bike_debug(1) + +def bike_to_olin_debug(): + print('Running bike_to_olin_debug') + move_bike_debug(-1) +#+END_SRC - def bike_to_olin_debug(): - print('Running bike_to_olin_debug') - move_bike_debug(-1) +#+RESULTS: +:RESULTS: +:END: +#+BEGIN_SRC ipython :session :results output + move_bike_debug(0) +#+END_SRC - from modsim import System - bikeshare = System(olin=10, wellesley=10) - move_bike_debug(2) - print(bikeshare) +#+RESULTS: +: Running move_bike_debug with argument 0 +#+BEGIN_SRC ipython :session :results output bike_to_wellesley_debug() - print(bikeshare) +#+END_SRC + +#+RESULTS: +: Running bike_to_wellesley_debug +: Running move_bike_debug with argument 1 +#+BEGIN_SRC ipython :session :results output bike_to_olin_debug() - print(bikeshare) #+END_SRC #+RESULTS: -#+begin_example -Running move_bike_debug with argument 2 -olin 8 -wellesley 12 -dtype: int64 -Running bike_to_wellesley_debug -Running move_bike_debug with argument 1 -olin 7 -wellesley 13 -dtype: int64 -Running bike_to_olin_debug -Running move_bike_debug with argument -1 -olin 8 -wellesley 12 -dtype: int64 -#+end_example +: Running bike_to_olin_debug +: Running move_bike_debug with argument -1 * Exercise 7 Change the argument of legend to 'random string' and run decorate again. You should get an error message that lists the valid location where you can put the legend. -#+BEGIN_SRC python :results file :noweb yes :exports both - <> # reference code block with class definition - - bikeshare = SystemProgress(olin=10, wellesley=9) +#+BEGIN_SRC ipython :session :results raw drawer + def decorate(): + legend(loc='a random string') + label_axes(title='Olin-Wellesley Bikeshare', + xlabel='Time step (min)', + ylabel='Number of bikes') +#+END_SRC - bikeshare.add_bikes(olin=2, wellesley=-2) - bikeshare.add_bikes(olin=-3, wellesley=3) +#+RESULTS: +:RESULTS: +:END: - fig = bikeshare.history.plot() - # strange, no error here, just the default behavior. However, I - # managed to get the error a different time, I am just unable to - # replicate it here. - fig.legend(loc='random') - fig.figure.savefig('chap01fig/legendtest.png') - return 'chap01fig/legendtest.png' # required for figure to show below +#+BEGIN_SRC ipython :session :file chap01fig/dec.png :results raw drawer :exports both + decorate() #+END_SRC #+RESULTS: -[[file:chap01fig/legendtest.png]] +:RESULTS: +[[file:chap01fig/dec.png]] +:END: * Exercise 8 Write a version of decorate that takes an optional parameter named loc with default value 'best'. It should pass the value of loc along as an argument to legend. Test your function with different values of loc. -[[https://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.legend][You can see the list of legal values here]]. - -#+name: decorate -#+BEGIN_SRC python :results output :exports both - from matplotlib.pyplot import legend - - def decorate(fig, loc=0): - fig.legend(loc=loc) - fig.set_title('Olin-Wellesley Bikeshare') - fig.set_xlabel('Time Step (min)') - fig.set_ylabel('Number of bikes') - -#+END_SRC - -#+RESULTS: decorate - -#+BEGIN_SRC python :noweb yes :results file :exports both - # reference relevant blocks - <> - <> - - plt.style.use('ggplot') - - bikeshare = SystemProgress(olin=10, wellesley=9) - - bikeshare.add_bikes(olin=2, wellesley=-2) - bikeshare.add_bikes(olin=-3, wellesley=3) - - fig = bikeshare.history.plot() - decorate(fig, loc=0) - fig.figure.savefig('chap01fig/legendtest1.png') - - return 'chap01fig/legendtest1.png' # required for figure to show below +You can see the list of legal values here. + +#+BEGIN_SRC ipython :session :results raw drawer + def decorate(loc=0): + legend(loc=loc) + label_axes(title='Olin-Wellesley Bikeshare', + xlabel='Time step (min)', + ylabel='Number of bikes') #+END_SRC #+RESULTS: -[[file:chap01fig/legendtest1.png]] - -#+BEGIN_SRC python :noweb yes :results file :exports both - # reference relevant blocks - <> - <> - - plt.style.use('ggplot') +:RESULTS: +:END: - bikeshare = SystemProgress(olin=10, wellesley=9) - - bikeshare.add_bikes(olin=2, wellesley=-2) - bikeshare.add_bikes(olin=-3, wellesley=3) - - fig = bikeshare.history.plot() - decorate(fig, loc=10) - - fig.figure.savefig('chap01fig/legendtest2.png') - - return 'chap01fig/legendtest2.png' # required for figure to show below +#+BEGIN_SRC ipython :session :file chap01fig/decloc.png :results raw drawer :exports both + decorate() #+END_SRC #+RESULTS: -[[file:chap01fig/legendtest2.png]] +:RESULTS: +[[file:chap01fig/decloc.png]] +:END: * Exercise 9 -Combine the examples from the previous two sections to write a function named =run_steps= that takes three parameters, =named num_steps=, p1, and p2. -It should use a for loop to run step the number of times specified by =num_steps=, passing along the specified values of p1 and p2. -After each step, it should plot the updated state. -Test your function by creating a new System object, creating a new figure, and running =run_steps=. -#+BEGIN_SRC python :results file :noweb yes :exports both - # reference relevant codeblocks - <> - <> +#+BEGIN_SRC ipython :session :results raw drawer + def move_bike(n): + bikeshare.olin -= n + bikeshare.wellesley += n - from modsim import flip - plt.style.use('ggplot') + def bike_to_wellesley(): + move_bike(1) + + def bike_to_olin(): + move_bike(-1) - def step(df, p1=0.5, p2=0.5): - print('p1 ->', p1) - print('p2 ->', p2) + def step(p1=0.5, p2=0.5): if flip(p1): - df.add_bikes(olin=-1, wellesley=1) + bike_to_wellesley() + if flip(p2): - df.add_bikes(olin=1, wellesley=-1) + bike_to_olin() +#+END_SRC +#+RESULTS: +:RESULTS: +:END: - def run_steps(df, num_steps, p1, p2): +#+BEGIN_SRC ipython :session :results raw drawer + def run_steps(num_steps, p1, p2): for _ in range(num_steps): - step(df, p1, p2) + step(p1, p2) + plot_state() + +#+END_SRC +#+RESULTS: +:RESULTS: +:END: - bikeshare = SystemProgress(olin=10, wellesley=2) - run_steps(bikeshare, 100, 0.6, 0.2) - ax = bikeshare.history.plot() - decorate(ax) - ax.figure.savefig('chap01fig/runsteps.png') +#+BEGIN_SRC ipython :session :file chap01fig/run_steps1.png :results raw drawer :exports both + run_steps(100,0.5,0.5) +#+END_SRC + +#+RESULTS: +:RESULTS: +[[file:chap01fig/run_steps1.png]] +:END: - return 'chap01fig/runsteps.png' +#+BEGIN_SRC ipython :session :file chap01fig/run_steps2.png :results raw drawer :exports both + run_steps(100, 0.2, 0.8) #+END_SRC #+RESULTS: -[[file:chap01fig/runsteps.png]] +:RESULTS: +[[file:chap01fig/run_steps2.png]] +:END: diff --git a/code/chap01soln.ipynb b/code/chap01soln.ipynb index e8beae7f..63971304 100644 --- 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z&`oKrTMxjzgw!HRxMOGiOrap>D>mG~oS}{AGaMxsIvKER3q?nonbFh4f}B-88kTXw zg0_BA)151Yiv2-dVi3T3YbQXS5I;1Ntphb<^Mt%jT0F{a^dQG!N`hn>@07syBc9wl z7bg2Z&srK`vqer$&gWSaT#Qb6`c3$o9=!@8~(!Aq)Py42NjGNq1HnQai7+X zUj4UVySVQcoSqM9^+p&24kpIjRIUmfvH|j|&e7l}C7?KkM#ADB<4LPh3*Nwxhw= z$I_wFHtH+CE`s#ktM<>DTczb5`7(dm17$(B*tLg3Zi4=P04VZUN?7cuHa?x0{z= za$y;@q_FMIG|yFjunzFW32>9c+X2-E;XOB~L2&Wjli4N_*8k>9Jv5O9um`6W1N0k6 z*!Bqe74k$Y?RtL}XShl$e&4EH3tpg*HcQj4WF^27Ajf5YwvLjhz4?gx)8eD7bdBX3 z2jNRA@#En7s%YXrw;6GV~4VS*X<*OR&0&LQ&FXJ!%mxP7cUQCYlh?s&ae#7F+eisPELUeC~ttqR26fhlKDCO4%yP%r^ z^~Ym{Jiqi%s>DB68Hl;gIE-mdy!?-bXu;C|JRq%RPA?VoSKlSeV&F<)aewdwl=EwC zHjh1X5N%?={M!qWn~^&|)`C1f;wSrHLBKo;3o+vzk1~A~K<^NBQQ_r`hN9?2ICkX1 zu+f@mPMQxz2Ix9_LT@PWeic5fehudFF~Rx_xQ z!DF56>-D+VK+N{%{jAw_0R=Ve$qK+`&@i;6^HC@$mW$W<&1=03#H~;_u diff --git a/code/chap01mine.org b/code/chap01mine.org index 49b5df57..8d065f66 100644 --- a/code/chap01mine.org +++ b/code/chap01mine.org @@ -185,6 +185,12 @@ You should get an error message that lists the valid location where you can put :END: #+BEGIN_SRC ipython :session :file chap01fig/dec.png :results raw drawer :exports both + bikeshare = System(olin=10, wellesley=10) + newfig() + plot_state() + bikeshare.olin -= 1 + bikeshare.wellesley += 1 + plot_state() decorate() #+END_SRC @@ -212,7 +218,13 @@ You can see the list of legal values here. :END: #+BEGIN_SRC ipython :session :file chap01fig/decloc.png :results raw drawer :exports both - decorate() + bikeshare = System(olin=10, wellesley=10) + newfig() + plot_state() + bikeshare.olin -= 1 + bikeshare.wellesley += 1 + plot_state() + decorate(1) #+END_SRC #+RESULTS: From 023a14573f92304ba75daf73c5b9542d2692493e Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Wed, 6 Sep 2017 00:45:02 +0000 Subject: [PATCH 14/51] remove outdated ipynb --- code/chap01mine.ipynb | 2477 ----------------------------------------- 1 file changed, 2477 deletions(-) delete mode 100644 code/chap01mine.ipynb diff --git a/code/chap01mine.ipynb b/code/chap01mine.ipynb deleted file mode 100644 index de6441cd..00000000 --- a/code/chap01mine.ipynb +++ /dev/null @@ -1,2477 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Modeling and Simulation in Python\n", - "\n", - "Chapter 1: Modeling\n", - "\n", - "Copyright 2017 Allen Downey\n", - "\n", - "License: [Creative Commons Attribution 4.0 International](https://creativecommons.org/licenses/by/4.0)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Jupyter\n", - "\n", - "Welcome to Modeling and Simulation, welcome to Python, and welcome to Jupyter.\n", - "\n", - "This is a Jupyter notebook, which is a development environment where you can write and run Python code. Each notebook is divided into cells. Each cell contains either text (like this cell) or Python code (like the cell below this one).\n", - "\n", - "### Selecting and running cells\n", - "\n", - "To select a cell, click in the left margin next to the cell. You should see a blue frame surrounding the selected cell.\n", - "\n", - "To edit a code cell, click inside the cell. You should see a green frame around the selected cell, and you should see a cursor inside the cell.\n", - "\n", - "To edit a text cell, double-click inside the cell. Again, you should see a green frame around the selected cell, and you should see a cursor inside the cell.\n", - "\n", - "To run a cell, hold down SHIFT and press ENTER. If you run a text cell, it will typeset the text and display the result.\n", - "\n", - "If you run a code cell, it runs the Python code in the cell and displays the result, if any.\n", - "\n", - "To try it out, edit this cell, change some of the text, and then press SHIFT-ENTER to run it." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Adding and removing cells\n", - "\n", - "You can add and remove cells from a notebook using the buttons in the toolbar and the items in the menu, both of which you should see at the top of this notebook.\n", - "\n", - "You might want to try the following exercises:\n", - "\n", - "1. From the Insert menu select \"Insert cell below\" to add a cell below this one. By default, you get a code cell, and you can see in the pulldown menu that says \"Code\".\n", - "\n", - "2. In the new cell, add a print statement like `print('Hello')`, and run it.\n", - "\n", - "3. Add another cell, select the new cell, and then click on the pulldown menu that says \"Code\" and select \"Markdown\". This makes the new cell a text cell.\n", - "\n", - "4. In the new cell, type some text, and then run it.\n", - "\n", - "5. Use the arrow buttons in the toolbar to move cells up and down.\n", - "\n", - "6. Use the cut, copy, and paste buttons to delete, add, and move cells.\n", - "\n", - "7. As you make changes, Jupyter saves your notebook automatically, but if you want to make sure, you can press the save button, which looks like a floppy disk from the 1990s.\n", - "\n", - "8. Finally, when you are done with a notebook, selection \"Close and Halt\" from the File menu." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Using the notebooks\n", - "\n", - "The notebooks for each chapter contain the code from the chapter along with addition examples, explanatory text, and exercises. I recommend you read the chapter first to understand the concepts and vocabulary, then run the notebook to review what you learned and see it in action, and then attempt the exercises.\n", - "\n", - "The notebooks contain some explanatory text, but it is probably not enough to make sense if you have not read the book. If you are working through a notebook and you get stuck, you might want to re-read (or read!) the corresponding section of the book.\n", - "\n", - "If you try to work through the notebooks without reading the book, you're gonna have a bad time. If you have previous programming experience, you might get through the first few notebooks, but sooner or later, you will get to the end of your leash, and you won't like it." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Importing modsim\n", - "\n", - "The following cell imports `modsim`, which is a collection of functions we will use throughout the book. Whenever you start the notebook, you will have to run the following cell. It does two things:\n", - "\n", - "1. It uses a Jupyter \"magic command\" to specify whether figures should appear in the notebook, or pop up in a new window.\n", - "\n", - "2. It imports everything defined in `modsim`.\n", - "\n", - "Select the following cell and press SHIFT-ENTER to run it." - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "If this cell runs successfully, it produces no output other than this message.\n" - ] - } - ], - "source": [ - "# If you want the figures to appear in the notebook, \n", - "# and you want to interact with them, use\n", - "# %matplotlib notebook\n", - "\n", - "# If you want the figures to appear in the notebook, \n", - "# and you don't want to interact with them, use\n", - "# %matplotlib inline\n", - "\n", - "# If you want the figures to appear in separate windows, use\n", - "# %matplotlib qt5\n", - "\n", - "# To switch from one to another, you have to select Kernel->Restart\n", - "\n", - "%matplotlib inline\n", - "\n", - "from modsim import *\n", - "\n", - "print('If this cell runs successfully, it produces no output other than this message.')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## The penny myth\n", - "\n", - "The following cells contain code from the beginning of Chapter 1.\n", - "\n", - "`modsim` defines `UNITS`, which contains variables representing pretty much every unit you've ever heard of. The following to lines create new variables named `meter` and `second`." - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "meter = UNITS.meter\n", - "second = UNITS.second" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To find out what units are defined, type `UNITS.` in the next cell and then press TAB. You should see a pop-up menu with a list of units." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Create a variable named `a` and display its value:" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "9.8 meter/second2" - ], - "text/latex": [ - "$9.8\\ \\frac{\\mathrm{meter}}{\\mathrm{second}^{2}}$" - ], - "text/plain": [ - "" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "a = 9.8 * meter / second**2\n", - "a" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "collapsed": true - }, - "source": [ - "Create `t` and display its value:" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "4 second" - ], - "text/latex": [ - "$4\\ \\mathrm{second}$" - ], - "text/plain": [ - "" - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "t = 4 * second\n", - "t" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "collapsed": true - }, - "source": [ - "If you create a variable and don't display the value, you don't get any output:" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "h = a * t**2" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "collapsed": true - }, - "source": [ - "Add a second line to the previous cell to display the value of `h`.\n", - "\n", - "Now let's solve the falling penny problem. The following lines set `h` to the height of the Empire State Building and compute the time it would take a penny to fall, assuming constant acceleration." - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "8.817885349720552 second" - ], - "text/latex": [ - "$8.817885349720552\\ \\mathrm{second}$" - ], - "text/plain": [ - "" - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "h = 381 * meter\n", - "t = sqrt(2 * h / a)\n", - "t" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "collapsed": true - }, - "source": [ - "Given `t`, we can compute the velocity of the penny when it lands." - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "86.41527642726142 meter/second" - ], - "text/latex": [ - "$86.41527642726142\\ \\frac{\\mathrm{meter}}{\\mathrm{second}}$" - ], - "text/plain": [ - "" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "v = a * t\n", - "v" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "collapsed": true - }, - "source": [ - "We can convert from one set of units to another like this:" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "mile = UNITS.mile\n", - "hour= UNITS.hour" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "193.30546802805438 mile/hour" - ], - "text/latex": [ - "$193.30546802805438\\ \\frac{\\mathrm{mile}}{\\mathrm{hour}}$" - ], - "text/plain": [ - "" - ] - }, - "execution_count": 23, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "v.to(mile/hour)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Exercise:** In reality, air resistance prevents the penny from reaching this velocity. At about 20 meters per second, the force of air resistance equals the force of gravity and the penny stops accelerating.\n", - "\n", - "As a simplification, let's assume that the acceleration of the penny is `a` until the penny reaches 20 meters per second, and then 0 afterwards. What is the total time for the penny to fall 381 meters?" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "It will take 20.987461 seconds for the coin to fall\n" - ] - } - ], - "source": [ - "a = 9.80665\n", - "termV = 20\n", - "totalDisplacement = 381\n", - "\n", - "\n", - "def displacement(a, v0, v1):\n", - " return (v0 ** 2 + v1 ** 2) / 2 / a\n", - "\n", - "\n", - "def time(a, v0, v1):\n", - " return (v1 - v0) / a\n", - "\n", - "\n", - "dToTerm = displacement(a, 0, termV)\n", - "tToTerm = time(a, 0, termV)\n", - "\n", - "dLeft = totalDisplacement - tToTerm\n", - "\n", - "tAfterTerm = dLeft / termV\n", - "\n", - "tTot = tToTerm + tAfterTerm\n", - "\n", - "print(\"It will take %f seconds for the coin to fall\" % tTot)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Modeling a bikeshare system" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We'll start with a `System` object that represents the number of bikes at each station." - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "bikeshare = System(olin=10, wellesley=2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "If you display the value of a `System` object, it lists the system variables and their values (not necessarily in the order you defined them):" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "

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" - ], - "text/plain": [ - "olin 10\n", - "wellesley 2\n", - "dtype: int64" - ] - }, - "execution_count": 26, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "bikeshare" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can access the system variables using dot notation." - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "10" - ] - }, - "execution_count": 27, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "bikeshare.olin" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "ename": "AttributeError", - "evalue": "'System' object has no attribute 'wellesle'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mbikeshare\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwellesle\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;32m/usr/lib64/python3.6/site-packages/pandas/core/generic.py\u001b[0m in \u001b[0;36m__getattr__\u001b[0;34m(self, name)\u001b[0m\n\u001b[1;32m 3079\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mname\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_info_axis\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3080\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 3081\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mobject\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__getattribute__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3082\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3083\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__setattr__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mAttributeError\u001b[0m: 'System' object has no attribute 'wellesle'" - ] - } - ], - "source": [ - "bikeshare.wellesle" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Exercise:** What happens if you spell the name of a system variable wrong? Edit the previous cell, change the spelling of `wellesley`, and run the cell again.\n", - "\n", - "The error message uses the word \"attribute\", which is another name for what we are calling a system variable. " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Exercise:** Add a third attribute called `babson` with initial value 0, and print the state of `bikeshare` again." - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "olin 10\n", - "wellesley 2\n", - "babson 0\n", - "dtype: int64\n" - ] - } - ], - "source": [ - "bikeshare = System(olin=10, wellesley=2, babson=0)\n", - "print(bikeshare)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Plotting\n", - "\n", - "`newfig` creates a new figure, which should appear either in the notebook or in a new window, depending on which magic command you ran in the first code cell.\n", - "\n", - "`plot` adds a data point to the figure; in this example, you should see a red square and a blue circle representing the number of bikes at each station." - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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The following lines move a bike from Olin to Wellesley." - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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" - ], - "text/plain": [ - "olin 9\n", - "wellesley 3\n", - "babson 0\n", - "dtype: int64" - ] - }, - "execution_count": 31, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "bikeshare.olin -= 1\n", - "bikeshare.wellesley += 1\n", - "bikeshare" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "And the following lines plot the updated state of the system. You should see two new data points with lines connecting them to the old data points." - ] - }, - { - "cell_type": "code", - "execution_count": 32, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plot(bikeshare.olin, 'rs-')\n", - "plot(bikeshare.wellesley, 'bo-')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Exercise:** In the cell below, write a few lines of code to move a bike from Wellesley to Olin and plot the updated state." - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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[ - "def plot_state():\n", - " plot(bikeshare.olin, 'rs-', label='Olin')\n", - " plot(bikeshare.wellesley, 'bo-', label='Wellesley')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now when we run the functions, it runs the statements inside." - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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" - ], - "text/plain": [ - "olin 7\n", - "wellesley 5\n", - "babson 0\n", - "dtype: int64" - ] - }, - "execution_count": 36, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "bike_to_wellesley()\n", - "plot_state()\n", - "bikeshare" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "You should see two more data points that represent the current state of the system. If the figure is embedded in the notebook, you might have to scroll up to see the change.\n", - "\n", - "One common error is to omit the parentheses, which has the effect of looking up the function, but not running it." - ] - }, - { - "cell_type": "code", - "execution_count": 37, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 37, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "bike_to_wellesley" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The output indicates that `bike_to_wellesley` is a function defined in a \"namespace\" called `__main__`, but you don't have to understand what that means." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Exercise:** Define a function called `bike_to_olin` that moves a bike from Wellesley to Olin. Run the new function and print or plot the results to confirm that it works." - ] - }, - { - "cell_type": "code", - "execution_count": 38, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "olin 10\n", - "wellesley 10\n", - "dtype: int64\n", - "olin 11\n", - "wellesley 9\n", - "dtype: int64\n", - "olin 12\n", - "wellesley 8\n", - "dtype: int64\n" - ] - } - ], - "source": [ - "from modsim import System\n", - "\n", - "\n", - "def bike_to_olin(sys):\n", - " sys.olin += 1\n", - " sys.wellesley -= 1\n", - "\n", - "\n", - "bikeshare = System(olin=10, wellesley=10)\n", - "\n", - "for _ in range(3):\n", - " print(bikeshare)\n", - " bike_to_olin(bikeshare)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Parameters" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Before we go on, let's start with a new state object and a new plot." - ] - }, - { - "cell_type": "code", - "execution_count": 39, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "def bike_to_olin():\n", - " move_bike(-1)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "When we define these functions, we replace the old definitions with the new ones.\n", - "\n", - "Now we can test them and update the figure." - ] - }, - { - "cell_type": "code", - "execution_count": 42, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "bike_to_olin()\n", - "plot_state()\n", - "bikeshare" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "At this point, `move_bike` is complicated enough that we should add some documentation. The text in triple-quotation marks is in English, not Python. It doesn't do anything when the program runs, but it helps people understand what this function does and how to use it." - ] - }, - { - "cell_type": "code", - "execution_count": 44, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def move_bike(n):\n", - " \"\"\"Move bikes.\n", - " \n", - " n: number of bikes: positive moves from Olin to Wellesley;\n", - " negative moves from Wellesley to Olin\n", - " \"\"\"\n", - " bikeshare.olin -= n\n", - " bikeshare.wellesley += n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Whenever you make a figure, you should put labels on the axes to explain what they mean and what units they are measured in. Here's how:" - ] - }, - { - "cell_type": "code", - "execution_count": 45, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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jzGxCKqtkvLu/Vvb+NjN7DzjLzFasMkWOiIj0A7kHA5jZOmY2FZgEDAS2c/cN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\nI9DGuHul+4akw6hGI9LB0uw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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "label_axes(title='Olin-Wellesley Bikeshare',\n", - " xlabel='Time step (min)', \n", - " ylabel='Number of bikes')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Again, you might have to scroll up to see the effect.\n", - "\n", - "And you can save figures as files; the suffix of the filename indicates the format you want. This example saves the current figure in a PDF file." - ] - }, - { - "cell_type": "code", - "execution_count": 46, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Saving figure to file chap01_fig01.pdf\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "savefig('chap01_fig01.pdf')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Exercise:** The following function definitions start with print statements so they display messages when they run. Run each of these functions (with appropriate arguments) and confirm that they do what you expect.\n", - "\n", - "Adding print statements like this to functions is a useful debugging technique. Keep it in mind!" - ] - }, - { - "cell_type": "code", - "execution_count": 47, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def move_bike_debug(n):\n", - " print('Running move_bike_debug with argument', n)\n", - " bikeshare.olin -= n\n", - " bikeshare.wellesley += n\n", - " \n", - "def bike_to_wellesley_debug():\n", - " print('Running bike_to_wellesley_debug')\n", - " move_bike_debug(1)\n", - " \n", - "def bike_to_olin_debug():\n", - " print('Running bike_to_olin_debug')\n", - " move_bike_debug(-1)" - ] - }, - { - "cell_type": "code", - "execution_count": 48, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Running move_bike_debug with argument 2\n", - "olin 8\n", - "wellesley 12\n", - "dtype: int64\n" - ] - } - ], - "source": [ - "bikeshare = System(olin=10, wellesley=10)\n", - "move_bike_debug(2)\n", - "print(bikeshare)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 49, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Running bike_to_wellesley_debug\n", - "Running move_bike_debug with argument 1\n", - "olin 7\n", - "wellesley 13\n", - "dtype: int64\n" - ] - } - ], - "source": [ - "bike_to_wellesley_debug()\n", - "print(bikeshare)" - ] - }, - { - "cell_type": "code", - "execution_count": 50, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Running bike_to_olin_debug\n", - "Running move_bike_debug with argument -1\n", - "olin 8\n", - "wellesley 12\n", - "dtype: int64\n" - ] - } - ], - "source": [ - "bike_to_olin_debug()\n", - "print(bikeshare)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Conditionals" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The function `flip` takes a probability and returns either `True` or `False`, which are special values defined by Python.\n", - "\n", - "In the following example, the probability is 0.7 or 70%. If you run this cell several times, you should get `True` about 70% of the time and `False` about 30%." - ] - }, - { - "cell_type": "code", - "execution_count": 51, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "True" - ] - }, - "execution_count": 51, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "flip(0.7)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Modify the argument in the previous cell and see what effect it has.\n", - "\n", - "In the following example, we use `flip` as part of an if statement. If the result from `flip` is `True`, we print `heads`; otherwise we do nothing." - ] - }, - { - "cell_type": "code", - "execution_count": 52, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "heads\n" - ] - } - ], - "source": [ - "if flip(0.7):\n", - " print('heads')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "With an else clause, we can print heads or tails depending on whether `flip` returns `True` or `False`." - ] - }, - { - "cell_type": "code", - "execution_count": 53, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "tails\n" - ] - } - ], - "source": [ - "if flip(0.7):\n", - " print('heads')\n", - "else:\n", - " print('tails')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now let's get back to the bikeshare system. Again let's start with a new `System` object and a new plot." - ] - }, - { - "cell_type": "code", - "execution_count": 54, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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In any given minute, a student might ride from Olin to Wellesley, from Wellesley to Olin, or both, or neither, depending on the results of `flip`." - ] - }, - { - "cell_type": "code", - "execution_count": 57, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def step():\n", - " if flip(0.7):\n", - " bike_to_wellesley()\n", - " print('Moving a bike to Wellesley')\n", - " \n", - " if flip(0.6):\n", - " bike_to_olin()\n", - " print('Moving a bike to Olin')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "If you run `step` a few times, it should update the current figure. In each time step, the number of bikes at each location might go up, down, or stay the same." - ] - }, - { - "cell_type": "code", - "execution_count": 58, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Moving a bike to Wellesley\n", - "Moving a bike to Olin\n" - ] - }, - { - "data": { - "text/html": [ - "
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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "step()\n", - "plot_state()\n", - "bikeshare" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The following function labels the axes and adds a legend to the figure." - ] - }, - { - "cell_type": "code", - "execution_count": 59, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def decorate(): \n", - " legend(loc='random string')\n", - " label_axes(title='Olin-Wellesley Bikeshare',\n", - " xlabel='Time step (min)', \n", - " ylabel='Number of bikes')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "As always, when you define a function, it has no effect until you run it." - ] - }, - { - "cell_type": "code", - "execution_count": 60, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/usr/lib64/python3.6/site-packages/matplotlib/axes/_axes.py:545: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n", - " warnings.warn(\"No labelled objects found. \"\n" - ] - }, - { - "data": { - "image/png": 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MWUREeqfVTWf7AAsAo9z9Znc/k0gyPzGzhWtstzUwJG03yd0nAdsDCwFbFR20iIg0rtWJ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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "%matplotlib inline\n", - "decorate()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Exercise:** Change the argument of `legend` to `'random string'` and run `decorate` again. You should get an error message that lists the valid location where you can put the legend." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Optional parameters" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Again let's start with a new `System` object and a new plot." - ] - }, - { - "cell_type": "code", - "execution_count": 61, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "bikeshare = System(olin=10, wellesley=2)\n", - "newfig()\n", - "plot_state()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can make `step` more general by adding parameters. Because these parameters have default values, they are optional." - ] - }, - { - "cell_type": "code", - "execution_count": 62, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def step(p1=0.5, p2=0.5):\n", - " print('p1 ->', p1)\n", - " print('p2 ->', p2)\n", - " if flip(p1):\n", - " bike_to_wellesley()\n", - " \n", - " if flip(p2):\n", - " bike_to_olin()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "I added print statements, so each time we run `step` we can see the arguments.\n", - "\n", - "If you provide no arguments, you get the default values:" - ] - }, - { - "cell_type": "code", - "execution_count": 63, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "p1 -> 0.5\n", - "p2 -> 0.5\n" - ] - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "step()\n", - "plot_state()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "If you provide one argument, it overrides the first parameter." - ] - }, - { - "cell_type": "code", - "execution_count": 64, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "p1 -> 0.4\n", - "p2 -> 0.5\n" - ] - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "step(0.4)\n", - "plot_state()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "If you provide two arguments, they override both." - ] - }, - { - "cell_type": "code", - "execution_count": 65, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "p1 -> 0.4\n", - "p2 -> 0.2\n" - ] - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "step(0.4, 0.2)\n", - "plot_state()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "You can specify the names of the parameters you want to override." - ] - }, - { - "cell_type": "code", - "execution_count": 66, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "p1 -> 0.4\n", - "p2 -> 0.2\n" - ] - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "step(p1=0.4, p2=0.2)\n", - "plot_state()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Which means you can override the second parameter and use the default for the first." - ] - }, - { - "cell_type": "code", - "execution_count": 67, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "p1 -> 0.5\n", - "p2 -> 0.2\n" - ] - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "step(p2=0.2)\n", - "plot_state()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "You can combine both forms, but it is not very common:" - ] - }, - { - "cell_type": "code", - "execution_count": 68, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "p1 -> 0.4\n", - "p2 -> 0.2\n" - ] - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "step(0.4, p2=0.2)\n", - "plot_state()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "One reason it's not common is that it's error prone. The following example causes an error." - ] - }, - { - "cell_type": "code", - "execution_count": 69, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "# If you remove the # at the beginning of the next line and run it, you get\n", - "# SyntaxError: positional argument follows keyword argument\n", - "\n", - "#step(p1=0.4, 0.2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "From the error message, you might infer that arguments like `step(0.4, 0.2)` are called \"positional\" and arguments like `step(p1=0.4, p2=0.2)` are called \"keyword arguments\"." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Exercise:** Write a version of `decorate` that takes an optional parameter named `loc` with default value `'best'`. It should pass the value of `loc` along as an argument to `legend.` Test your function with different values of `loc`. [You can see the list of legal values here](https://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.legend)." - ] - }, - { - "cell_type": "code", - "execution_count": 70, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def decorate(loc=0):\n", - " legend(loc=loc)\n", - " label_axes(title = 'Olin-Wellesley Bikeshare',\n", - " xlabel = 'Time Step (min)',\n", - " ylabel = 'Number of bikes')" - ] - }, - { - "cell_type": "code", - "execution_count": 71, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/usr/lib64/python3.6/site-packages/matplotlib/axes/_axes.py:545: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n", - " warnings.warn(\"No labelled objects found. \"\n" - ] - }, - { - "data": { - "image/png": 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zOzGVVTLe3V8v+/0uM/sQOMfMlq0yRY6IiPQDuQcDmNnaZjYZuAkYCGzv7hv2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\nAABJRU5ErkJggg==\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "decorate()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## For loop" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Before we go on, I'll redefine `step` without the print statements." - ] - }, - { - "cell_type": "code", - "execution_count": 72, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def step(p1=0.5, p2=0.5):\n", - " if flip(p1):\n", - " bike_to_wellesley()\n", - " \n", - " if flip(p2):\n", - " bike_to_olin()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "And let's start again with a new `System` object and a new figure." - ] - }, - { - "cell_type": "code", - "execution_count": 73, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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X1RWYiIiUhtjRY939GeAZMzsVGOHuf6+esEREpFQkGmbc3VsVOxARESlNSeej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\nb5blrVnVPfJfhO6grVm9J1d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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "bikeshare = System(olin=10, wellesley=2)\n", - "newfig()\n", - "plot_state()\n", - "decorate()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can use a for loop to move 4 bikes from Olin to Wellesley." - ] - }, - { - "cell_type": "code", - "execution_count": 74, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for i in range(4):\n", - " bike_to_wellesley()\n", - " plot_state()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Or we can simulate 4 random time steps." - ] - }, - { - "cell_type": "code", - "execution_count": 75, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for i in range(4):\n", - " step()\n", - " plot_state()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "If each step corresponds to a minute, we can simulate the rest of the hour like this." - ] - }, - { - "cell_type": "code", - "execution_count": 76, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for i in range(52):\n", - " step(p1=0.4, p2=0.2)\n", - " plot_state()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Exercise:** Combine the examples from the previous two sections to write a function named `run_steps` that takes three parameters, named `num_steps`, `p1`, and `p2`. It should use a for loop to run `step` the number of times specified by `num_steps`, passing along the specified values of `p1` and `p2`. After each step, it should plot the updated state.\n", - "\n", - "Test your function by creating a new `System` object, creating a new figure, and running `run_steps`." - ] - }, - { - "cell_type": "code", - "execution_count": 77, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def run_steps(num_steps, p1, p2):\n", - " for _ in range(num_steps):\n", - " step(p1, p2)\n", - " plot_state()" - ] - }, - { - "cell_type": "code", - "execution_count": 78, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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165ns1yzpkySJ+zGlejNCVDFlEQ/vfSkD6a8HuoJwZPk21hO5DpB4xMlkrMcR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\nd4ArgHbAAx/33n8lUe6PgPc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the penny reaches 20 meters per second, and then 0 afterwards. What is the total time for the penny to fall 381 meters? -#+BEGIN_SRC ipython :session :results output +#+BEGIN_SRC ipython :session :results output :exports both a = 9.80665 termV = 20 totalDisplacement = 381 @@ -46,7 +46,7 @@ What is the total time for the penny to fall 381 meters? Exercise: What happens if you spell the name of a system variable wrong? Edit the previous cell, change the spelling of wellesley, and run the cell again. -#+BEGIN_SRC python :session :results output +#+BEGIN_SRC python :session :results output :exports both from modsim import System bikeshare = System(olin=10,wellesley=2) @@ -64,7 +64,7 @@ Edit the previous cell, change the spelling of wellesley, and run the cell again * Exercise 3 Exercise: Add a third attribute called babson with initial value 0, and print the state of bikeshare again. -#+BEGIN_SRC ipython :session :results output +#+BEGIN_SRC ipython :session :results output :exports both from modsim import System bikeshare = System(olin=1, babson=1, wellesley=0) @@ -126,7 +126,7 @@ Run the new function and print or plot the results to confirm that it works. The following function definitions start with print statements so they display messages when they run. Run each of these functions (with appropriate arguments) and confirm that they do what you expect. -#+BEGIN_SRC ipython :session :results raw drawer +#+BEGIN_SRC ipython :session def move_bike_debug(n): print('Running move_bike_debug with argument', n) bikeshare.olin -= n @@ -142,17 +142,15 @@ def bike_to_olin_debug(): #+END_SRC #+RESULTS: -:RESULTS: -:END: -#+BEGIN_SRC ipython :session :results output +#+BEGIN_SRC ipython :session :results output :exports both move_bike_debug(0) #+END_SRC #+RESULTS: : Running move_bike_debug with argument 0 -#+BEGIN_SRC ipython :session :results output +#+BEGIN_SRC ipython :session :results output :exports both bike_to_wellesley_debug() #+END_SRC @@ -160,7 +158,7 @@ def bike_to_olin_debug(): : Running bike_to_wellesley_debug : Running move_bike_debug with argument 1 -#+BEGIN_SRC ipython :session :results output +#+BEGIN_SRC ipython :session :results output :exports both bike_to_olin_debug() #+END_SRC @@ -172,7 +170,7 @@ def bike_to_olin_debug(): Change the argument of legend to 'random string' and run decorate again. You should get an error message that lists the valid location where you can put the legend. -#+BEGIN_SRC ipython :session :results raw drawer +#+BEGIN_SRC ipython :session def decorate(): legend(loc='a random string') label_axes(title='Olin-Wellesley Bikeshare', @@ -181,8 +179,6 @@ You should get an error message that lists the valid location where you can put #+END_SRC #+RESULTS: -:RESULTS: -:END: #+BEGIN_SRC ipython :session :file chap01fig/dec.png :results raw drawer :exports both bikeshare = System(olin=10, wellesley=10) @@ -205,7 +201,7 @@ It should pass the value of loc along as an argument to legend. Test your function with different values of loc. You can see the list of legal values here. -#+BEGIN_SRC ipython :session :results raw drawer +#+BEGIN_SRC ipython :session def decorate(loc=0): legend(loc=loc) label_axes(title='Olin-Wellesley Bikeshare', @@ -214,8 +210,6 @@ You can see the list of legal values here. #+END_SRC #+RESULTS: -:RESULTS: -:END: #+BEGIN_SRC ipython :session :file chap01fig/decloc.png :results raw drawer :exports both bikeshare = System(olin=10, wellesley=10) @@ -234,7 +228,7 @@ You can see the list of legal values here. * Exercise 9 -#+BEGIN_SRC ipython :session :results raw drawer +#+BEGIN_SRC ipython :session def move_bike(n): bikeshare.olin -= n bikeshare.wellesley += n @@ -254,10 +248,8 @@ You can see the list of legal values here. #+END_SRC #+RESULTS: -:RESULTS: -:END: -#+BEGIN_SRC ipython :session :results raw drawer +#+BEGIN_SRC ipython :session def run_steps(num_steps, p1, p2): for _ in range(num_steps): step(p1, p2) @@ -266,8 +258,6 @@ You can see the list of legal values here. #+END_SRC #+RESULTS: -:RESULTS: -:END: #+BEGIN_SRC ipython :session :file chap01fig/run_steps1.png :results raw drawer :exports both run_steps(100,0.5,0.5) From 9cc042339f15532da662d91911244b4ac46ab2a9 Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Wed, 6 Sep 2017 00:54:04 +0000 Subject: [PATCH 16/51] fix babson and wellesley values --- code/chap01fig/run_steps1.png | Bin 21899 -> 15208 bytes code/chap01fig/run_steps2.png | Bin 14076 -> 16563 bytes code/chap01mine.org | 6 +++--- 3 files changed, 3 insertions(+), 3 deletions(-) diff --git a/code/chap01fig/run_steps1.png b/code/chap01fig/run_steps1.png index eb1794b9a5f3d672b2547b4248308b366c53cf14..722d7a5e49e40c7dae3b2a7c2c217ae4ec0ed065 100644 GIT binary patch literal 15208 zcmZ{L1z1#3+wIUDf`Uqkk^)0_NlAlrgS2!vLnq{Z< z3)4edQ5zTd3dFUF0{)NZs$k#&0uhki|3e#F47ve!cud-szWF<|z5;-XU2^bld=;xtPkW{Q`uXro* z;A3C2pUYDI{LamWa9hC8Fm4!#{yph8%}pi2SGe?@bI(I%fM4GfR!F6Bt60c{-jhnR zf5apP&WW+8@Wh}ESs-S5Pl|&3ehHs;UwI3B4b@ul7`R{iKc9Y8j@H8uYQW|~J!MGj 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z2!L;{jxWR5hgz$z@AaS;_l`?P!M?V2AL4#Zc@{UUZp+Wq{u!Uq|E*NI<-t299P#u} zEmYo0B9LAC7y>S)(01@buj{;Du7kk8c5YRWU;bYkEc7x!IcCaJo$10A-flF#wN=sM zP(MjIS2qp1TXLG=qojd7E&@rcbyM9|SU2!sMi^f?f2+L5Oy~b5F_IKSF{qtncS8K= z)>JH_nh>x64sxJkL?8$k2Ew!%1e9Pv;Q#-=^d$c9mqJ)eFOU=X@ima_2Sw>JNrP|y E2lM@QfB*mh diff --git a/code/chap01mine.org b/code/chap01mine.org index c6ef8f85..62c6790d 100644 --- a/code/chap01mine.org +++ b/code/chap01mine.org @@ -67,14 +67,14 @@ Exercise: Add a third attribute called babson with initial value 0, and print th #+BEGIN_SRC ipython :session :results output :exports both from modsim import System - bikeshare = System(olin=1, babson=1, wellesley=0) + bikeshare = System(olin=1, wellesley=1, babson=0) print(bikeshare) #+END_SRC #+RESULTS: : olin 1 -: babson 1 -: wellesley 0 +: wellesley 1 +: babson 0 : dtype: int64 * Exercise 4 From 461e435ed399887e288d77e40c93f83f34a43b9f Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Wed, 6 Sep 2017 01:27:32 +0000 Subject: [PATCH 17/51] add 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label='Wellesley') +#+END_SRC + +#+RESULTS: + Define a function called =bike_to_olin= that moves a bike from Wellesley to Olin. Run the new function and print or plot the results to confirm that it works. 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xyXVmHK1aSYS+Q/i1cq4JhF4XZ6zByic/342PAJkhvP++e67Gjd19eXlw1FGV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\nGpa+Z118CWjjFQko6TPA5lTPMr1XkmFU0qUvcANwMe53Oiz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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "bikeshare = System(olin=10, wellesley=2)\n", "newfig()\n", @@ -250,7 +453,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 19, "metadata": { "collapsed": true }, @@ -280,9 +483,20 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 20, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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1BFFbvam13pCIihkiUF5uCw1nak7zQuxMeTm8+64sV1VJ+HiDTVNT/KIjG2N4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\nESQAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "bikeshare = System(olin=10, wellesley=2)\n", "newfig()\n", @@ -302,7 +516,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 21, "metadata": { "collapsed": true }, @@ -341,7 +555,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 22, "metadata": { "collapsed": true }, @@ -359,9 +573,20 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 23, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "x == 5" ] @@ -375,9 +600,17 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 24, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "yes, x is 5\n" + ] + } + ], "source": [ "if x == 5:\n", " print('yes, x is 5')" @@ -392,7 +625,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 25, "metadata": { "collapsed": true }, @@ -437,7 +670,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 26, "metadata": { "collapsed": true }, @@ -456,7 +689,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 27, "metadata": { "collapsed": true }, @@ -486,9 +719,20 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 28, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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PD37QsKy5+1pl3R1xmuXlcEoDUYHUM2KE3VNo316eV1PuNdqzyoho8ZvyDHzZ01BKnYgo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\nE0YjCIIgaJgwGkEQBEHD/D8Zy79QaNGInwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "newfig()\n", "plot_system(bikeshare)\n", @@ -505,18 +749,40 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 29, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "1" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "bikeshare.olin_empty" ] }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 30, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "0" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "bikeshare.wellesley_empty" ] @@ -536,7 +802,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 31, "metadata": { "collapsed": true }, @@ -560,7 +826,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 32, "metadata": { "collapsed": true }, @@ -571,7 +837,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 33, "metadata": { "collapsed": true }, @@ -582,8 +848,10 @@ }, { "cell_type": "code", - "execution_count": 29, - "metadata": {}, + "execution_count": 34, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "# Solution goes here" @@ -598,7 +866,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 35, "metadata": { "collapsed": true }, @@ -620,8 +888,10 @@ }, { "cell_type": "code", - "execution_count": 42, - "metadata": {}, + "execution_count": 36, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "# Solution goes here" @@ -629,7 +899,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 37, "metadata": { "collapsed": true }, @@ -640,8 +910,10 @@ }, { "cell_type": "code", - "execution_count": 46, - "metadata": {}, + "execution_count": 38, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "# Solution goes here" @@ -656,8 +928,10 @@ }, { "cell_type": "code", - "execution_count": 48, - "metadata": {}, + "execution_count": 39, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "# print(bikeshare.t_first_empty)" @@ -672,7 +946,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 40, "metadata": { "collapsed": true }, @@ -716,7 +990,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 41, "metadata": { "collapsed": true }, @@ -735,9 +1009,20 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 42, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "8" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "y = add_five(3)\n", "y" @@ -752,9 +1037,20 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 43, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "10" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "add_five(5)" ] @@ -772,9 +1068,20 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 44, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "10" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "add_five(3)\n", "add_five(5)" @@ -791,9 +1098,17 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 45, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "8 10\n" + ] + } + ], "source": [ "y1 = add_five(3)\n", "y2 = add_five(5)\n", @@ -812,7 +1127,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 46, "metadata": { "collapsed": true }, @@ -823,8 +1138,10 @@ }, { "cell_type": "code", - "execution_count": 58, - "metadata": {}, + "execution_count": 47, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "# Solution goes here" @@ -850,7 +1167,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 48, "metadata": { "collapsed": true }, @@ -882,7 +1199,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 49, "metadata": { "collapsed": true }, @@ -902,9 +1219,20 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 50, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "7" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "bikeshare.olin_empty" ] @@ -918,7 +1246,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 51, "metadata": { "collapsed": true }, @@ -940,7 +1268,7 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 52, "metadata": { "collapsed": true }, @@ -951,9 +1279,17 @@ }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 53, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2 0\n" + ] + } + ], "source": [ "print(system.olin_empty, system.wellesley_empty)" ] @@ -967,7 +1303,7 @@ }, { "cell_type": "code", - "execution_count": 67, + "execution_count": 54, "metadata": { "collapsed": true }, @@ -989,9 +1325,20 @@ }, { "cell_type": "code", - "execution_count": 68, + "execution_count": 55, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "0" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "system = run_simulation(p1=0.2)\n", "system.olin_empty" @@ -1006,9 +1353,20 @@ }, { "cell_type": "code", - "execution_count": 69, + "execution_count": 56, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "8" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "system = run_simulation(p1=0.6)\n", "system.olin_empty" @@ -1025,7 +1383,7 @@ }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 57, "metadata": { "collapsed": true }, @@ -1036,8 +1394,10 @@ }, { "cell_type": "code", - "execution_count": 71, - "metadata": {}, + "execution_count": 58, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "# Solution goes here" @@ -1061,9 +1421,20 @@ }, { "cell_type": "code", - "execution_count": 72, + "execution_count": 59, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 0.25, 0.5 , 0.75, 1. ])" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "p1_array = linspace(start=0, stop=1, num=5)\n", "p1_array" @@ -1078,9 +1449,21 @@ }, { "cell_type": "code", - "execution_count": 73, + "execution_count": 60, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.0\n", + "0.25\n", + "0.5\n", + "0.75\n", + "1.0\n" + ] + } + ], "source": [ "for p1 in p1_array:\n", " print(p1)" @@ -1104,8 +1487,10 @@ }, { "cell_type": "code", - "execution_count": 74, - "metadata": {}, + "execution_count": 61, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "# Solution goes here" @@ -1120,9 +1505,37 @@ }, { "cell_type": "code", - "execution_count": 75, + "execution_count": 62, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Help on function linrange in module modsim:\n", + "\n", + "linrange(start=0, stop=None, step=1, **kwargs)\n", + " Returns an array of evenly-spaced values in the interval [start, stop].\n", + " \n", + " This function works best if the space between start and stop\n", + " is divisible by step; otherwise the results might be surprising.\n", + " \n", + " By default, the last value in the array is `stop` (at least approximately).\n", + " If you provide the keyword argument `endpoint=False`, the last value\n", + " in the array is `stop-step`. \n", + " \n", + " start: first value\n", + " stop: last value\n", + " step: space between values\n", + " \n", + " Also accepts the same keyword arguments as np.linspace. See\n", + " https://docs.scipy.org/doc/numpy/reference/generated/numpy.linspace.html\n", + " \n", + " returns: array or Quantity\n", + "\n" + ] + } + ], "source": [ "help(linrange)" ] @@ -1136,8 +1549,10 @@ }, { "cell_type": "code", - "execution_count": 79, - "metadata": {}, + "execution_count": 63, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "# Solution goes here" @@ -1161,9 +1576,20 @@ }, { "cell_type": "code", - "execution_count": 80, + "execution_count": 64, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ])" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "p1_array = linspace(0, 1, 11)\n", "p1_array" @@ -1171,9 +1597,27 @@ }, { "cell_type": "code", - "execution_count": 81, + "execution_count": 65, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.0 0\n", + "0.1 0\n", + "0.2 0\n", + "0.3 0\n", + "0.4 4\n", + "0.5 11\n", + "0.6 24\n", + "0.7 11\n", + "0.8 24\n", + "0.9 32\n", + "1.0 44\n" + ] + } + ], "source": [ "for p1 in p1_array:\n", " system = run_simulation(p1=p1)\n", @@ -1190,9 +1634,20 @@ }, { "cell_type": "code", - "execution_count": 82, + "execution_count": 66, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "newfig()\n", "for p1 in p1_array:\n", @@ -1209,7 +1664,7 @@ }, { "cell_type": "code", - "execution_count": 83, + "execution_count": 67, "metadata": { "collapsed": true }, @@ -1223,9 +1678,28 @@ }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 68, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/lib64/python3.6/site-packages/matplotlib/axes/_axes.py:545: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n", + " warnings.warn(\"No labelled objects found. \"\n" + ] + }, + { + "data": { + "image/png": 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PuoocTGkfpj2w+Uc/Q2NmNryVytEUPeeuSgac18gR5l4DfgKsUQzLWtbiwG+Lv9WAFave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\nEwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "decorate_bikeshare(xlabel='Arrival rate at Olin (p1 in customers/min)')" ] @@ -1241,7 +1715,7 @@ }, { "cell_type": "code", - "execution_count": 85, + "execution_count": 69, "metadata": { "collapsed": true }, @@ -1257,8 +1731,10 @@ }, { "cell_type": "code", - "execution_count": 86, - "metadata": {}, + "execution_count": 70, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "# Solution goes here" @@ -1277,7 +1753,7 @@ }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 71, "metadata": { "collapsed": true }, @@ -1288,8 +1764,10 @@ }, { "cell_type": "code", - "execution_count": 88, - "metadata": {}, + "execution_count": 72, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "# Solution goes here" @@ -1297,8 +1775,10 @@ }, { "cell_type": "code", - "execution_count": 89, - "metadata": {}, + "execution_count": 73, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "# Solution goes here" @@ -1317,7 +1797,7 @@ }, { "cell_type": "code", - "execution_count": 90, + "execution_count": 74, "metadata": { "collapsed": true }, @@ -1328,7 +1808,7 @@ }, { "cell_type": "code", - "execution_count": 91, + "execution_count": 75, "metadata": { "collapsed": true }, @@ -1339,8 +1819,9 @@ }, { "cell_type": "code", - "execution_count": 92, + "execution_count": 76, "metadata": { + "collapsed": true, "scrolled": false }, "outputs": [], @@ -1369,9 +1850,21 @@ }, { "cell_type": "code", - "execution_count": 93, + "execution_count": 77, "metadata": {}, - "outputs": [], + "outputs": [ + { + "ename": "TypeError", + "evalue": "run_simulation() got an unexpected keyword argument 'olin'", + "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[0mtotal\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnum_runs\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[0msystem\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mrun_simulation\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp1\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0.4\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mp2\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0.2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0molin\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m10\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mwellesley\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnum_steps\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m60\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0mtotal\u001b[0m \u001b[0;34m+=\u001b[0m \u001b[0msystem\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0molin_empty\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0msystem\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwellesley_empty\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0mtotal\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0mnum_runs\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mTypeError\u001b[0m: run_simulation() got an unexpected keyword argument 'olin'" + ] + } + ], "source": [ "num_runs = 10\n", "total = 0\n", @@ -1383,7 +1876,7 @@ }, { "cell_type": "code", - "execution_count": 94, + "execution_count": 78, "metadata": { "collapsed": true }, @@ -1394,8 +1887,10 @@ }, { "cell_type": "code", - "execution_count": 95, - "metadata": {}, + "execution_count": 79, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "# Solution goes here" @@ -1403,8 +1898,10 @@ }, { "cell_type": "code", - "execution_count": 96, - "metadata": {}, + "execution_count": 80, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "# Solution goes here" @@ -1412,8 +1909,9 @@ }, { "cell_type": "code", - "execution_count": 98, + "execution_count": 81, "metadata": { + "collapsed": true, "scrolled": true }, "outputs": [], @@ -1423,8 +1921,10 @@ }, { "cell_type": "code", - "execution_count": 99, - "metadata": {}, + "execution_count": 82, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "# Solution goes here" @@ -1452,7 +1952,7 @@ "metadata": { "kernelspec": { "display_name": "Python 3", - "language": "python", + "language": "python3.6", "name": "python3" }, "language_info": { diff --git a/code/chap02fig/olinbikes.png b/code/chap02fig/olinbikes.png new file mode 100644 index 00000000..1f0fa852 --- /dev/null +++ b/code/chap02fig/olinbikes.png @@ -0,0 +1 @@ + \ No newline at end of file diff --git a/code/chap02fig/parameter-olin.png b/code/chap02fig/parameter-olin.png new file mode 100644 index 00000000..f3d134ab --- /dev/null +++ b/code/chap02fig/parameter-olin.png @@ -0,0 +1 @@ + \ No newline at end of file diff --git a/code/chap02fig/parameter-wellesley.png b/code/chap02fig/parameter-wellesley.png new file mode 100644 index 00000000..90942958 --- /dev/null +++ b/code/chap02fig/parameter-wellesley.png @@ -0,0 +1 @@ + \ No newline at end of file diff --git a/code/chap02mine.org b/code/chap02mine.org new file mode 100644 index 00000000..ca7ddc56 --- /dev/null +++ b/code/chap02mine.org @@ -0,0 +1,547 @@ +#+title: ModSim Chapter 2 + +#+latex_header: \usepackage[margin=1in]{geometry} +#+options: toc:nil num:nil + +* Preamble + +#+BEGIN_SRC ipython :session + %matplotlib inline + import matplotlib.pyplot as plt + plt.style.use('ggplot') + from modsim import * + + + def run_steps(system, num_steps=1, p1=0.5, p2=0.5): + """Simulate the given number of time steps. + + system: bikeshare System object + num_steps: number of time steps + p1: probability of an Olin->Wellesley customer arrival + p2: probability of a Wellesley->Olin customer arrival + """ + for i in range(num_steps): + step(system, p1, p2) + plot_system(system) + + + def step(system, p1=0.5, p2=0.5): + """Simulate one minute of time. + + system: bikeshare System object + p1: probability of an Olin->Wellesley customer arrival + p2: probability of a Wellesley->Olin customer arrival + """ + if flip(p1): + bike_to_wellesley(system) + + if flip(p2): + bike_to_olin(system) + + + def bike_to_wellesley(system): + """Move one bike from Olin to Wellesley. + + system: bikeshare System object + """ + move_bike(system, 1) + + + def bike_to_olin(system): + """Move one bike from Wellesley to Olin. + + system: bikeshare System object + """ + move_bike(system, -1) + + + def move_bike(system, n): + """Move a bike. + + system: bikeshare System object + n: +1 to move from Olin to Wellesley or + -1 to move from Wellesley to Olin + """ + system.olin -= n + system.wellesley += n + + + def plot_system(system): + """Plot the current system of the bikeshare system. + + system: bikeshare System object + """ + plot(system.olin, 'rs-', label='Olin') + plot(system.wellesley, 'bo-', label='Wellesley') + + + def decorate_bikeshare(): + """Add a title and label the axes.""" + decorate(title='Olin-Wellesley Bikeshare', + xlabel='Time step (min)', + ylabel='Number of bikes') +#+END_SRC + +#+RESULTS: + +* Exercise 1 +Add print statements in =move_bike= so it prints a message each time a customer arrives and doesn't find a bike. +Run the simulation again to confirm that it works as you expect. +Then you might want to remove the print statements before you go on. + +#+BEGIN_SRC ipython :session :exports both + def move_bike(system, n): + olin_temp = system.olin - n + if olin_temp < 0: + # print('Sorry, there are no bikes') + return + + wellesley_temp = system.wellesley + n + if wellesley_temp < 0: + return + + # update the system + system.olin = olin_temp + system.wellesley = wellesley_temp +#+END_SRC + +#+RESULTS: + +* Exercise 2 +Add an else clause to the if statement above, and print an appropriate message. +Replace the == operator with one or two of the other comparison operators, and confirm they do what you expect. + +#+BEGIN_SRC ipython :session :results output :exports both + x = 4 + + if x == 5: + print('yes, x is 5') + + + else: + print('no, x is not 5') +#+END_SRC + +#+RESULTS: +: no, x is not 5 + +* Exercise 3 +Let's add a "clock" to keep track of how many time steps have elapsed: +1. Add a new system variable named clock to bikeshare, initialized to 0, and +2. Modify step so it increments (adds one to) clock each time it is invoked. + +#+BEGIN_SRC ipython :session + bikeshare = System(olin=10, wellesley=10, clock=0) + + + def step(system, p1=0.5, p2=0.5): + """Simulate one minute of time. + + system: bikeshare System object + p1: probability of an Olin->Wellesley customer arrival + p2: probability of a Wellesley->Olin customer arrival + """ + # print(system.clock) + if flip(p1): + bike_to_wellesley(system) + print('Time before Wellesley:', system.clock) + + if flip(p2): + bike_to_olin(system) + print('Time before Olin:', system.clock) + system.clock += 1 +#+END_SRC + +#+RESULTS: + +#+BEGIN_SRC ipython :session :results output :exports both + step(bikeshare) +#+END_SRC + +#+RESULTS: +: Time before Wellesley: 0 +: Time before Olin: 0 + + +#+BEGIN_SRC ipython :session :results output :exports both + print(bikeshare.clock) +#+END_SRC + +#+RESULTS: +: 1 + +* Exercise 4 +Now suppose we'd like to know how long it takes to run out of bikes at either location. +Modify =move_bike= so the first time a student arrives at Olin and doesn't find a bike, it records the value of clock in a system variable. +Hint: create a system variable named =t_first_empty= and initialize it to -1 to indicate that it has not been set yet. +Test your code by running a simulation for 60 minutes and checking the metrics. + +#+BEGIN_SRC ipython :session + def move_bike(system, n): + olin_temp = system.olin - n + if olin_temp < 0: + system.olin_empty += 1 + if system.t_first_empty == -1: + system.t_first_empty = system.clock + return + + wellesley_temp = system.wellesley + n + if wellesley_temp < 0: + system.wellesley_empty += 1 + return + + system.olin = olin_temp + system.wellesley = wellesley_temp +#+END_SRC + +#+RESULTS: + +#+BEGIN_SRC ipython :session :results output :exports both + bikeshare = System(olin=5, wellesley=5, clock=0, olin_empty = 0, wellesley_empty = 0, t_first_empty=-1) + for _ in range(60): + step(bikeshare) + + print(bikeshare.t_first_empty) +#+END_SRC + +#+RESULTS: +#+begin_example +Time before Olin: 0 +Time before Wellesley: 3 +Time before Olin: 3 +Time before Olin: 4 +Time before Wellesley: 5 +Time before Olin: 6 +Time before Wellesley: 8 +Time before Wellesley: 9 +Time before Olin: 10 +Time before Olin: 11 +Time before Olin: 12 +Time before Wellesley: 14 +Time before Olin: 14 +Time before Olin: 16 +Time before Wellesley: 17 +Time before Olin: 17 +Time before Wellesley: 18 +Time before Wellesley: 19 +Time before Olin: 19 +Time before Wellesley: 20 +Time before Olin: 23 +Time before Wellesley: 24 +Time before Wellesley: 25 +Time before Olin: 25 +Time before Olin: 27 +Time before Wellesley: 28 +Time before Wellesley: 31 +Time before Olin: 31 +Time before Wellesley: 32 +Time before Olin: 32 +Time before Olin: 34 +Time before Olin: 37 +Time before Wellesley: 38 +Time before Olin: 39 +Time before Olin: 42 +Time before Wellesley: 43 +Time before Olin: 43 +Time before Wellesley: 44 +Time before Olin: 45 +Time before Olin: 46 +Time before Olin: 47 +Time before Wellesley: 48 +Time before Olin: 48 +Time before Wellesley: 49 +Time before Wellesley: 50 +Time before Olin: 50 +Time before Wellesley: 51 +Time before Olin: 51 +Time before Olin: 52 +Time before Wellesley: 53 +Time before Olin: 53 +Time before Olin: 54 +Time before Olin: 55 +Time before Wellesley: 56 +Time before Olin: 56 +Time before Olin: 57 +Time before Olin: 58 +-1 +#+end_example + +#+BEGIN_SRC ipython :session + def step(system, p1=0.5, p2=0.5): + if flip(p1): + bike_to_wellesley(system) + + if flip(p2): + bike_to_olin(system) + + + def move_bike(system, n): + olin_temp = system.olin - n + if olin_temp < 0: + system.olin_empty += 1 + return + + wellesley_temp = system.wellesley + n + if wellesley_temp < 0: + system.wellesley_empty += 1 + return + + system.olin = olin_temp + system.wellesley = wellesley_temp +#+END_SRC + +#+RESULTS: + +* Exercise 5 +Write a function called =make_system= that creates a System object with the system variables olin=10 and wellesley=2, and then returns the new System object. +Write a line of code that calls =make_system= and assigns the result to a variable. + +#+BEGIN_SRC ipython :session + def make_system(): + return System(olin=10, wellesley=2) + + makeSystemTest = make_system() +#+END_SRC + +#+RESULTS: + +* Exercise 6 +Write a version of =run_simulation= that takes all five model parameters as function parameters. + +#+BEGIN_SRC ipython :session + def run_simulation(olin=10, wellesley=2, olin_empty=0, wellesley_empty=0, p1=0.4, p2=0.2): + bikeshare = System(olin=olin, wellesley=wellesley, + olin_empty=olin_empty, wellesley_empty=wellesley_empty) + run_steps(bikeshare, 60, p1, p2, plot_flag=False) + return bikeshare +#+END_SRC + +#+RESULTS: + +* Exercise 7 +The function linspace is part of NumPy. +[[https://docs.scipy.org/doc/numpy/reference/generated/numpy.linspace.html][You can read the documentation here]]. +Use linspace to make an array of 10 equally spaced numbers from 1 to 10 (including both). + +#+BEGIN_SRC ipython :session :results raw drawer :exports both + linspace(1,10,10) +#+END_SRC + +#+RESULTS: +:RESULTS: +array([ 1., 2., 3., 4., 5., 6., 7., 8., 9., 10.]) +:END: + +* Exercise 8 +The modsim library provides a related function called linrange. +You can view the documentation by running the following cell: + +#+BEGIN_SRC ipython :session :results output :exports both + help(linrange) +#+END_SRC + +#+RESULTS: +#+begin_example +Help on function linrange in module modsim: + +linrange(start=0, stop=None, step=1, **kwargs) + Returns an array of evenly-spaced values in the interval [start, stop]. + + This function works best if the space between start and stop + is divisible by step; otherwise the results might be surprising. + + By default, the last value in the array is `stop` (at least approximately). + If you provide the keyword argument `endpoint=False`, the last value + in the array is `stop-step`. + + start: first value + stop: last value + step: space between values + + Also accepts the same keyword arguments as np.linspace. See + https://docs.scipy.org/doc/numpy/reference/generated/numpy.linspace.html + + returns: array or Quantity + +#+end_example + +Use linrange to make an array of numbers from 1 to 11 with a step size of 2. + +#+BEGIN_SRC ipython :session :results raw drawer :exports both + linrange(1,11,2) +#+END_SRC + +#+RESULTS: +:RESULTS: +array([ 1., 3., 5., 7., 9., 11.]) +:END: + +* Exercise 9 +Wrap this code in a function named =parameter_sweep= that takes an array called =p1_array= as a parameter. +It should create a new figure, run a simulation for each value of p1 in =p1_array=, and plot the results. +Once you have the function working, modify it so it also plots the number of unhappy customers at Wellesley. +Looking at the plot, can you estimate a range of values for p1 that minimizes the total number of unhappy customers? + +** Preamble +#+BEGIN_SRC ipython :session + def run_steps(system, num_steps=1, p1=0.5, p2=0.5, plot_flag=True): + """Simulate the given number of time steps. + + `num_steps` should be an integer; if not, it gets rounded down. + + system: bikeshare System object + num_steps: number of time steps + p1: probability of an Olin->Wellesley customer arrival + p2: probability of a Wellesley->Olin customer arrival + plot_flag: boolean, whether to plot + """ + for i in range(int(num_steps)): + step(system, p1, p2) + if plot_flag: + plot_system(system) +#+END_SRC + +#+RESULTS: + +** Exercise + +#+BEGIN_SRC ipython :session + def parameter_sweep(p1_array): + newfig() + for p1 in p1_array: + system = run_simulation(p1=p1) + plot(p1, system.olin_empty, 'rs', label='olin') +#+END_SRC + +#+RESULTS: + + +#+BEGIN_SRC ipython :session :results raw drawer :file chap02fig/parameter-olin.png :exports both + parameter_sweep(linspace(0, 1, 11)) +#+END_SRC + +#+RESULTS: +:RESULTS: +[[file:chap02fig/parameter-olin.png]] +:END: + +#+BEGIN_SRC ipython :session + def parameter_sweep(p1_array): + newfig() + for p1 in p1_array: + system = run_simulation(p1=p1) + plot(p1, system.wellesley_empty, 'rs', label='wellesley') +#+END_SRC + +#+RESULTS: + +#+BEGIN_SRC ipython :session :results raw drawer :file chap02fig/parameter-wellesley.png :exports both + parameter_sweep(linspace(0, 1, 11)) +#+END_SRC + +#+RESULTS: +:RESULTS: +[[file:chap02fig/parameter-wellesley.png]] +:END: + +Looks like p1=0.5 is the optimal p1. + +* Exercise 10 +Write a function called =parameter_sweep2= that runs simulations with p1=0.2 and a range of values for p2. +Note: If you run =parameter_sweep2= a few times without calling newfig, you can plot multiple runs on the same axes, which will give you a sense of how much random variation there is from one run to the next. + +#+BEGIN_SRC ipython :session + def parameter_sweep2(p2_array): + newfig() + for p2 in p2_array: + system = run_simulation(p1=0.2, p2=p2) + plot(p1, system.olin_empty, 'rs', label='olin') +#+END_SRC + +#+RESULTS: + +* Exercise 11 +Hold p1=0.4 and p2=0.2, and sweep a range of values for =num_steps=. +Hint: You will need a version of =run_simulation= that takes =num_steps= as a parameter. +Hint: Because =num_steps= is supposed to be an integer use range rather than linrange. + +#+BEGIN_SRC ipython :session + def run_simulation(num_steps, olin=10, wellesley=2, olin_empty=0, wellesley_empty=0, p1=0.4, p2=0.2): + bikeshare = System(olin=olin, wellesley=wellesley, + olin_empty=olin_empty, wellesley_empty=wellesley_empty) + run_steps(bikeshare, num_steps, p1, p2, plot_flag=False) + return bikeshare + + + def parameter_sweep3(num_steps_array): + newfig() + for num_steps in num_steps_array: + system = run_simulation2(num_steps=num_steps, p1=0.4, p2=0.2) + plot(num_steps, system.olin_empty, 'rs', label='olin') +#+END_SRC + +#+RESULTS: + +* Exercise 12 +The code below runs a simulation with the same parameters 10 times and computes the average number of unhappy customers. + +1. Wrap this code in a function called =run_simulations= that takes =num_runs= as a parameter. +2. Test =run_simulations=, and increase =num_runs= until the results are reasonably consistent from one run to the next. +3. Generalize =run_simulations= so it also takes the initial value of olin as a parameter. +4. Run the generalized version with olin=12. How much do the two extra bikes decrease the average number of unhappy customers. +5. Make a plot that shows the average number of unhappy customers as a function of the initial number of bikes at Olin. + + +#+BEGIN_SRC ipython :session + def run_simulations(num_runs=10): + total = 0 + for _ in range(num_runs): + system = run_simulation(p1=0.4, p2=0.2, olin=10, wellesley=2, num_steps=60) + total += system.olin_empty + system.wellesley_empty + return total / num_runs +#+END_SRC + +#+RESULTS: + +#+BEGIN_SRC ipython :session :results raw drawer :exports both + run_simulations(30) +#+END_SRC + +#+RESULTS: +:RESULTS: +3.2000000000000002 +:END: + +#+BEGIN_SRC ipython :session + def run_simulations(num_runs=10, olin=10): + total = 0 + for _ in range(num_runs): + system = run_simulation(p1=0.4, p2=0.2, olin=olin, + wellesley=2, num_steps=60) + total += system.olin_empty + system.wellesley_empty + return total / num_runs +#+END_SRC + +#+RESULTS: + +#+BEGIN_SRC ipython :session :results output :exports both + print(np.mean(np.asarray([run_simulations(30,10) for _ in range(30)]))) + print(np.mean(np.asarray([run_simulations(30,12) for _ in range(30)]))) +#+END_SRC + +#+RESULTS: +: 3.71222222222 +: 2.28888888889 + +It seems that two extra bikes decrease the average number by around 1. + +#+BEGIN_SRC ipython :session :results raw drawer :file chap02fig/olinbikes.png :exports both + newfig() + for bikes in range(30): + plot(bikes, run_simulations(num_runs=30,olin=bikes), 'rs-', label='olin bikes') +#+END_SRC + +#+RESULTS: +:RESULTS: +[[file:chap02fig/olinbikes.png]] +:END: From 35987e9698d7e6013e45a84c3d035cbc47e11956 Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Sat, 9 Sep 2017 15:50:11 +0000 Subject: [PATCH 20/51] fix images in chap02 --- code/chap02fig/olinbikes.png | Bin 44 -> 13263 bytes code/chap02fig/parameter-olin.png | Bin 44 -> 6053 bytes code/chap02fig/parameter-wellesley.png | Bin 44 -> 5561 bytes code/chap02mine.org | 64 +++++++++++++------------ 4 files changed, 33 insertions(+), 31 deletions(-) diff --git a/code/chap02fig/olinbikes.png 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Wellesley: 10 Time before Olin: 10 -Time before Olin: 11 -Time before Olin: 12 +Time before Wellesley: 11 +Time before Wellesley: 13 +Time before Olin: 13 Time before Wellesley: 14 Time before Olin: 14 +Time before Wellesley: 15 +Time before Olin: 15 +Time before Wellesley: 16 Time before Olin: 16 Time before Wellesley: 17 Time before Olin: 17 -Time before Wellesley: 18 -Time before Wellesley: 19 -Time before Olin: 19 -Time before Wellesley: 20 -Time before Olin: 23 -Time before Wellesley: 24 +Time before Olin: 18 +Time before Olin: 20 +Time before Wellesley: 22 +Time before Olin: 22 Time before Wellesley: 25 -Time before Olin: 25 +Time before Olin: 26 Time before Olin: 27 -Time before Wellesley: 28 -Time before Wellesley: 31 -Time before Olin: 31 +Time before Olin: 28 +Time before Wellesley: 29 +Time before Wellesley: 30 Time before Wellesley: 32 Time before Olin: 32 -Time before Olin: 34 -Time before Olin: 37 +Time before Wellesley: 34 +Time before Olin: 36 Time before Wellesley: 38 +Time before Wellesley: 39 Time before Olin: 39 +Time before Wellesley: 41 +Time before Wellesley: 42 Time before Olin: 42 -Time before Wellesley: 43 Time before Olin: 43 Time before Wellesley: 44 +Time before Olin: 44 +Time before Wellesley: 45 Time before Olin: 45 -Time before Olin: 46 +Time before Wellesley: 46 +Time before Wellesley: 47 Time before Olin: 47 Time before Wellesley: 48 Time before Olin: 48 Time before Wellesley: 49 -Time before Wellesley: 50 Time before Olin: 50 -Time before Wellesley: 51 -Time before Olin: 51 +Time before Wellesley: 52 Time before Olin: 52 Time before Wellesley: 53 Time before Olin: 53 -Time before Olin: 54 +Time before Wellesley: 54 +Time before Wellesley: 55 Time before Olin: 55 Time before Wellesley: 56 -Time before Olin: 56 Time before Olin: 57 -Time before Olin: 58 -1 #+end_example @@ -509,7 +511,7 @@ The code below runs a simulation with the same parameters 10 times and computes #+RESULTS: :RESULTS: -3.2000000000000002 +3.033333333333333 :END: #+BEGIN_SRC ipython :session @@ -530,8 +532,8 @@ The code below runs a simulation with the same parameters 10 times and computes #+END_SRC #+RESULTS: -: 3.71222222222 -: 2.28888888889 +: 3.43 +: 2.44555555556 It seems that two extra bikes decrease the average number by around 1. 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zpNnOj*vE$hT?lYwc)+)3z^t<+AJp3thYue;e!MAw8`f|vRp5{&wH~qY5^PcY`&({+ zOYk6uK;mrC1kf206&1A|5DOUL00lV>w8P>?m6G7TxOi#Xf%LchPX`(NVrP$P54?7X z0cCdAxW9RUg Date: Sat, 9 Sep 2017 20:29:58 +0000 Subject: [PATCH 22/51] added parameter_sweep --- code/chap02mine.org | 1 + 1 file changed, 1 insertion(+) diff --git a/code/chap02mine.org b/code/chap02mine.org index 46030787..bc7a1cde 100644 --- a/code/chap02mine.org +++ b/code/chap02mine.org @@ -448,6 +448,7 @@ Looks like p1=0.4 is the optimal p1. Write a function called =parameter_sweep2= that runs simulations with p1=0.2 and a range of values for p2. Note: If you run =parameter_sweep2= a few times without calling newfig, you can plot multiple runs on the same axes, which will give you a sense of how much random variation there is from one run to the next. + #+BEGIN_SRC ipython :session def parameter_sweep2(p2_array): newfig() From 1b5470a17a38b847a2deb6bc18bb2928869720cb Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Sat, 9 Sep 2017 20:30:20 +0000 Subject: [PATCH 23/51] remove newline --- code/chap02mine.org | 1 - 1 file changed, 1 deletion(-) diff --git a/code/chap02mine.org b/code/chap02mine.org index bc7a1cde..46030787 100644 --- a/code/chap02mine.org +++ b/code/chap02mine.org @@ -448,7 +448,6 @@ Looks like p1=0.4 is the optimal p1. Write a function called =parameter_sweep2= that runs simulations with p1=0.2 and a range of values for p2. Note: If you run =parameter_sweep2= a few times without calling newfig, you can plot multiple runs on the same axes, which will give you a sense of how much random variation there is from one run to the next. - #+BEGIN_SRC ipython :session def parameter_sweep2(p2_array): newfig() From 4a669bc605828c54d5cfab01934fc0bf9b92098f Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Sat, 9 Sep 2017 22:02:52 +0000 Subject: [PATCH 24/51] chap02mine: add second model parameter --- code/chap02fig/olinbikes.png | Bin 13445 -> 12580 bytes code/chap02fig/parameter-olin.png | Bin 5547 -> 5869 bytes code/chap02fig/parameter-wellesley.png | Bin 6104 -> 4480 bytes code/chap02mine.org | 77 ++++++++++++++----------- 4 files changed, 42 insertions(+), 35 deletions(-) diff --git a/code/chap02fig/olinbikes.png b/code/chap02fig/olinbikes.png index be2422e9bcffd7e968b995b4a2195f8aacc717a6..f61113f8f7e3cd863d22f8922c740b4d27ddfcd7 100644 GIT binary patch literal 12580 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system.t_first_empty = system.clock return @@ -195,7 +195,7 @@ Test your code by running a simulation for 60 minutes and checking the metrics. #+RESULTS: #+BEGIN_SRC ipython :session :results output :exports both - bikeshare = System(olin=5, wellesley=5, clock=0, olin_empty = 0, wellesley_empty = 0, t_first_empty=-1) + bikeshare = System(olin=5, wellesley=5, clock=0, olin_empty = 0, wellesley_empty = 0, t_first_empty=None) for _ in range(60): step(bikeshare) From 130f423e19a7cbb50afee8526da0639604e89a72 Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Thu, 14 Sep 2017 19:57:28 +0000 Subject: [PATCH 26/51] add chapter 3 --- code/chap03mine.org | 386 ++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 386 insertions(+) create mode 100644 code/chap03mine.org diff --git a/code/chap03mine.org b/code/chap03mine.org new file mode 100644 index 00000000..76b6bb07 --- /dev/null +++ b/code/chap03mine.org @@ -0,0 +1,386 @@ +#+title: Chapter 3 Notebook + +#+options: toc:nil num:nil +#+latex_header: \usepackage[margin=1in]{geometry} + +#+BEGIN_SRC ipython :session + %matplotlib inline + + from modsim import * + import matplotlib.pyplot as plt + import pandas as pd + + plt.style.use('ggplot') + + wpe = pd.read_html('https://en.wikipedia.org/wiki/World_population_estimates', + header=0, index_col=0, decimal='M') + toPres = wpe[2] + toPres.columns = ['census', 'prb', 'un', 'maddison', 'hyde', + 'tanton', 'biraben', 'mj', 'thomlinson', 'durand', 'clark'] + + un = toPres.un / 1e9 + census = toPres.census / 1e9 + + t0 = census.index[0] + t_end = census.index[-1] + total_growth = census[t_end] - census[t0] + elapsed_time = t_end - t0 + annual_growth = total_growth / elapsed_time + + system = System(t0=t0, + t_end=t_end, + p0=census[t0], + annual_growth=annual_growth) +#+END_SRC + +#+RESULTS: + +* Exercise 1 +Break down that expression into smaller steps and display intermediate results, to make sure you understand how it works. + +Where in the series is the largest relative error between two estimates, near the beginning or the end? + +When I computed relative errors, I used un as the denominator. +But that was an arbitrary choice. +What happens if we use census instead? +How much difference does it make? + +#+BEGIN_SRC ipython :session :results raw drawer :exports both + diff = abs(census - un) / un + maxDiff = diff.max() + pctErr = maxDiff * 100 + pctErr +#+END_SRC + +#+RESULTS: +:RESULTS: +1.2862470293832287 +:END: + +#+BEGIN_SRC ipython :session :results raw drawer :exports both + maxDiffIdx = diff.idxmax() + maxDiffIdx +#+END_SRC + +#+RESULTS: +:RESULTS: +1950 +:END: + +The largest relative error is towards the beginning in 1950 + +#+BEGIN_SRC ipython :session :results raw drawer :exports both + diffs = abs(census - un) / census * 100 + diffs.max(), diffs.idxmax() +#+END_SRC + +#+RESULTS: +:RESULTS: +| 1.2813631502151765 | 2015 | +:END: + +Using census keeps the max diff approximately equal, but the year is now the opposite. + +* Exercise 2 +Try fitting the model using data from 1965 to the present, and see if that does a better job. + +Hint: Copy the code from above and make a few changes. + +Make sure your model starts in 1950, even though the estimated annual growth is based on later data. +You might have to shift the first value in the series up or down to match the data. + +#+BEGIN_SRC ipython :session :results raw drawer :file chap03fig/1965.png :exports both + import statsmodels.formula.api as smf + + ax = census.plot() + toPres['Year'] = range(1950, 2016) + toPres['census'] = toPres['census'] / 1e9 + toPres['un'] = toPres['un'] / 1e9 + + params = smf.ols(formula='census ~ Year', data=toPres.tail(50)).fit().params + ax.plot([1950, 2015], [(lambda x: params[0] + x * params[1])(i) + for i in [1950, 2015]]) +#+END_SRC + +#+RESULTS: +:RESULTS: +[[file:chap03fig/1965.png]] +:END: + +* Exercise 3 +The constant growth model doesn't make a lot of sense, because it seems like the number of deaths and births should depend on the size of the population. +As a small improvement, let's write a version of =run_simulation1= where the number of deaths is proportional to the size of the population, but the number of births is constant. +This model doesn't make a lot of sense, either, but it's a good exercise. + +Write a function called =run_simulation1b= that implements a model where the number of births is constant, but the number of deaths is proportional to the current size of the population. +Set the death rate to 0.01, which means that 1% of the population dies each year; then choose the number of annual births to make the model fit the data as well as you can. + +Hint: It probably won't fit very well + +#+BEGIN_SRC ipython :session + def run_simulation1b(system): + results = TimeSeries() + results[system.t0] = system.p0 + for t in linrange(system.t0, system.t_end): + results[t + 1] = (results[t] + system.births) * (1 - system.deaths) + system.results = results +#+END_SRC + +#+RESULTS: + +#+BEGIN_SRC ipython :session :results raw drawer :file "chap03fig/sim1b.png" :exports both + system = System(t0=t0, t_end=t_end, p0=census[t0], births=100000000,deaths = 0.01) + run_simulation1b(system) + system.results.plot() +#+END_SRC + +#+RESULTS: +:RESULTS: +[[file:chap03fig/sim1b.png]] +:END: + +* Exercise 4 +In this implementation, we compute the number of deaths and births separately, but since they are both proportional to the current population, we can combine them. + +Write a function called =run_simulation2b= that implements a model with a single parameter, alpha, that represents the net growth rate, which is the difference between the birth and death rates. +For example, if alpha=0.01, the population should grow by 1% per year. + +Choose the value of alpha that fits the data best. + +#+BEGIN_SRC ipython :session + def run_simulation2b(system, alpha): + results = TimeSeries() + results[system.t0] = system.p0 + for t in linrange(system.t0, system.t_end): + results[t + 1] = results[t] * (1 + alpha) + system.results = results +#+END_SRC + +#+RESULTS: + +#+BEGIN_SRC ipython :session :results raw drawer :file chap03fig/simulation2b.png :exports both + system = System(t0=t0, t_end=t_end, p0=census[t0]) + run_simulation2b(system, 0.015) + system.results.plot() +#+END_SRC + +#+RESULTS: +:RESULTS: +[[file:chap03fig/simulation2b.png]] +:END: + +* Exercise 5 + +** Preamble +When you run =run_simulation=, it runs =update_func1= once for each year between =t0= and =t_end=. +To see that for yourself, add a print statement at the beginning of =update_func1= that prints the values of t and pop, then run =run_simulation= again. + +#+BEGIN_SRC ipython :session :results output :exports both + def update_func1(pop, t, system): + print(t, pop) + """Compute the population next year. + + pop: current population + t: current year + system: system object containing parameters of the model + + returns: population next year + """ + births = system.birth_rate * pop + deaths = system.death_rate * pop + return pop + births - deaths + + + def run_simulation(system, update_func): + """Simulate the system using any update function. + + Adds TimeSeries to `system` as `results`. + + system: System object + update_func: function that computes the population next year + """ + results = TimeSeries() + results[system.t0] = system.p0 + for t in linrange(system.t0, system.t_end): + results[t + 1] = update_func(results[t], t, system) + system.results = results + + + system.birth_rate=0.015 + system.death_rate=0.1 + run_simulation(system, update_func1) +#+END_SRC + +#+RESULTS: +#+begin_example +1950.0 2.557628654 +1951.0 2.34023021841 +1952.0 2.14131064985 +1953.0 1.95929924461 +1954.0 1.79275880882 +1955.0 1.64037431007 +1956.0 1.50094249371 +1957.0 1.37336238175 +1958.0 1.2566265793 +1959.0 1.14981332006 +1960.0 1.05207918785 +1961.0 0.962652456885 +1962.0 0.88082699805 +1963.0 0.805956703216 +1964.0 0.737450383442 +1965.0 0.67476710085 +1966.0 0.617411897277 +1967.0 0.564931886009 +1968.0 0.516912675698 +1969.0 0.472975098264 +1970.0 0.432772214911 +1971.0 0.395986576644 +1972.0 0.362327717629 +1973.0 0.331529861631 +1974.0 0.303349823392 +1975.0 0.277565088404 +1976.0 0.253972055889 +1977.0 0.232384431139 +1978.0 0.212631754492 +1979.0 0.19455805536 +1980.0 0.178020620655 +1981.0 0.162888867899 +1982.0 0.149043314128 +1983.0 0.136374632427 +1984.0 0.12478278867 +1985.0 0.114176251633 +1986.0 0.104471270245 +1987.0 0.0955912122738 +1988.0 0.0874659592305 +1989.0 0.0800313526959 +1990.0 0.0732286877168 +1991.0 0.0670042492609 +1992.0 0.0613088880737 +1993.0 0.0560976325874 +1994.0 0.0513293338175 +1995.0 0.046966340443 +1996.0 0.0429742015053 +1997.0 0.0393213943774 +1998.0 0.0359790758553 +1999.0 0.0329208544076 +2000.0 0.030122581783 +2001.0 0.0275621623314 +2002.0 0.0252193785332 +2003.0 0.0230757313579 +2004.0 0.0211142941925 +2005.0 0.0193195791861 +2006.0 0.0176774149553 +2007.0 0.0161748346841 +2008.0 0.014799973736 +2009.0 0.0135419759684 +2010.0 0.0123909080111 +2011.0 0.0113376808301 +2012.0 0.0103739779596 +2013.0 0.00949218983302 +2014.0 0.00868535369721 +2015.0 0.00794709863295 +#+end_example + +* Exercise 6 +Maybe the reason the proportional model doesn't work very well is that the growth rate, alpha, might be changing over time. +So let's try a model with different growth rates before and after 1980 (as an arbitrary choice). + +Write a function called =update_func1c= that takes pop, t, and system as parameters. +The system object, system, should contains two parameters: +the growth rate before 1980, alpha1, and the growth rate after 1980, alpha2. +It should compute and return the simulated population one year later. + +Note: Don't forget the return statement. + +#+BEGIN_SRC ipython :session + def update_func1c(pop, t, system): + if t < 1980: + return system.alpha1 * pop + pop + else: + return pop + pop * system.alpha2 +#+END_SRC + +#+RESULTS: + +* Exercise 7 +In the book, I presented a different way to parameterize the quadratic model: +$$ +\Delta p = r p (1 - p / K) +$$ +where $r=\alpha$ and $K=\alpha/\beta$. + +Write a version of =update_func2= that implements this version of the model. +Test it by computing system variables r and K equivalent to alpha and beta, and confirm that you get the same results. + +#+BEGIN_SRC ipython :session :results raw drawer :exports both + system.alpha = 0.025 + system.beta = -0.0018 + system.K = -system.alpha / system.beta + system.beta,system.alpha,system.K +#+END_SRC + +#+RESULTS: +:RESULTS: +| -0.0018 | 0.025 | 13.88888888888889 | +:END: + +#+BEGIN_SRC ipython :session :results raw drawer :file chap03fig/ab.png :exports both + def update_func2b(pop, t, system): + return pop + system.alpha * pop * (1 - pop / system.K) + + + run_simulation(system, update_func2b) + system.results.plot() +#+END_SRC + +#+RESULTS: +:RESULTS: +[[file:chap03fig/ab.png]] +:END: + +* Exercise 8 +On the Wikipedia page about world population estimates, the first table contains estimates for prehistoric populations. +The following cells process this table and plot some of the results. + +Select table1, which is the second table on the page. + +#+BEGIN_SRC ipython :session :results raw drawer :file chap03fig/pre.png + table1 = wpe[1] + table1.replace('M', np.nan, regex=True, inplace=True) + table1.columns = ['prb', 'un', 'maddison', 'hyde', 'tanton', + 'biraben', 'mj', 'thomlinson', 'durand', 'clark'] + ax = table1.plot() + ax.set_xlim(-1000) + ax.figure.show() +#+END_SRC + +#+RESULTS: +:RESULTS: +[[file:chap03fig/pre.png]] +:END: + +#+BEGIN_SRC ipython :session :file chap03fig/test.png + def update_func1b(pop, t, system): + """Compute the population next year. + + pop: current population + t: current year + system: system object containing parameters of the model + + returns: population next year + """ + net_growth = system.alpha * pop + return pop + net_growth + + + system = System(p0=table1.mj[-1000], t0=-1000, t_end=1940, alpha=0.00099, beta=-0.0000001) + system.K = - system.alpha / system.beta + run_simulation(system,update_func2b) + + ax = table1.plot() + system.results.plot(ax=ax) + ax.set_xlim(-1000) +#+END_SRC + +#+RESULTS: +[[file:chap03fig/test.png]] From 16bf60bfe9397a8db8c0ed055d3fbe8fe8926737 Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Sun, 17 Sep 2017 13:39:16 +0000 Subject: [PATCH 27/51] language in rabbits changed --- code/rabbits.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/code/rabbits.ipynb b/code/rabbits.ipynb index e8ff3cab..2936837c 100644 --- a/code/rabbits.ipynb +++ b/code/rabbits.ipynb @@ -752,7 +752,7 @@ "metadata": { "kernelspec": { "display_name": "Python 3", - "language": "python", + "language": "python3.6", "name": "python3" }, "language_info": { From 912746a817ffbae3bb0a14f112aa54871c8e3168 Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Sun, 17 Sep 2017 15:23:54 +0000 Subject: [PATCH 28/51] upload chap03fig --- code/chap03fig/1965.png | Bin 0 -> 13221 bytes code/chap03fig/ab.png | Bin 0 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'mj', + 'thomlinson', 'durand', 'clark'] + + census = table2.census / 1e9 + t0 = census.index[0] + p0 = census[t0] + t_end = census.index[-1] + system = System(t0=t0, + t_end=t_end, + p0=p0, + alpha=0.025, + beta=-0.0018) +#+END_SRC + +#+RESULTS: + +* Exercise 1 +What happens if we start with an initial population above the carrying capacity, like 20 billion? +The the model with initial populations between 1 and 20 billion, and plot the results on the same axes. + +#+BEGIN_SRC ipython :session :results raw drawer :file chap04fig/abovecap.png + +#+END_SRC From 3a06e85659ef2b3b89f55fdaf9ac187d08814633 Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Sun, 17 Sep 2017 19:23:28 +0000 Subject: [PATCH 29/51] add chapter 4 --- code/chap03mine.org | 2 + code/chap04fig/abovecap.png | Bin 0 -> 36724 bytes code/chap04mine.org | 112 +++++++++++++++++++++++++++++++++++- 3 files changed, 113 insertions(+), 1 deletion(-) create mode 100644 code/chap04fig/abovecap.png diff --git a/code/chap03mine.org b/code/chap03mine.org index 76b6bb07..fdfcae81 100644 --- a/code/chap03mine.org +++ b/code/chap03mine.org @@ -384,3 +384,5 @@ Select table1, which is the second table on the page. #+RESULTS: [[file:chap03fig/test.png]] + +The model does not match at all diff --git a/code/chap04fig/abovecap.png b/code/chap04fig/abovecap.png new file mode 100644 index 0000000000000000000000000000000000000000..86e5a8edba2b6ae18d9349b79af712645680f009 GIT binary patch literal 36724 zcma&NWmucd^9Gs_2*KThTcNnSTcO2YiWGMb?hqV`mLjESkpcyZyL*9RMT-U~#ohg+ zzw7)zoiB%LpUoz0va>Tgv$Hez#%ii7<6u%^0ssJc=|Yfyfe@=0o&8AZrZ=+sc(B{qv08j}>C~bWLCe6W@z=ni&C4|>K>S$-5yzR~ zu{U!Z_rSpS@kKE)`+whb%YN}Q`>(KSmT4EOrhPXdS$>K9aF;?C?OHXB{Xc*3e?1-l z{*x>FAFN6j*~wP(|GE%&9TEMgZ)x#cDS2X7WqE%mbB5jkfQ#N~x7hXa3ep z`2YWV|KB0UaF+4H@w6m^n*T?fl7|P;bd%HrnVqQcY2dx|pvPfeocvC*i*=9^|i6YK@b_~rCa&sbo2BbL;7Qe?2l!Ilz&{ZcM%kZp#!3YPey)85581; zCLdZ43Uq%sJ{cZfL-ZAf#Nj19aXQTLxikfXn+&DH8$GBZlJ}*y{*m@sZH#0&&Y`Vo 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@@ -17,11 +20,37 @@ t0 = census.index[0] p0 = census[t0] t_end = census.index[-1] - system = System(t0=t0, + system = System(t0=t0, t_end=t_end, p0=p0, alpha=0.025, beta=-0.0018) + + + def run_simulation(system, update_func): + """Run a model. + + Adds TimeSeries to `system` as `results`. + + system: System object + update_func: function that computes the population next year + """ + results = Series([]) + results[system.t0] = system.p0 + for t in linrange(system.t0, system.t_end): + results[t + 1] = update_func(results[t], t, system) + system.results = results + + + def update_func2(pop, t, system): + """Update population based on a quadratic model. + + pop: current population in billions + t: what year it is + system: system object with model parameters + """ + net_growth = system.alpha * pop + system.beta * pop**2 + return pop + net_growth #+END_SRC #+RESULTS: @@ -31,5 +60,86 @@ What happens if we start with an initial population above the carrying capacity, The the model with initial populations between 1 and 20 billion, and plot the results on the same axes. #+BEGIN_SRC ipython :session :results raw drawer :file chap04fig/abovecap.png + ax = census.plot() + for system.p0 in range(1,20): + temp_sys = system.copy() + run_simulation(temp_sys, update_func2) + temp_sys.results.plot(ax=ax) +#+END_SRC + +#+RESULTS: +:RESULTS: +[[file:chap04fig/abovecap.png]] +:END: + +* Exercise 2 +Suppose there are two banks across the street from each other, The First Geometric Bank (FGB) and Exponential Savings and Loan (ESL). +They offer the same interest rate on checking accounts, 3%, but at FGB, they compute and pay interest at the end of each year, and at ESL they compound interest continuously. + +If you deposit $p_0$ dollars at FGB at the beginning of Year 0, the balanace of your account at the end of Year $n$ is + +$ x_n = p_0 (1 + \alpha)^n $ + +where $\alpha = 0.03$. At ESL, your balance at any time $t$ would be + +$ x(t) = p_0 \exp(\alpha t) $ +If you deposit \$1000 at each back at the beginning of Year 0, how much would you have in each account after 10 years? + +Is there an interest rate FGB could pay so that your balance at the end of each year would be the same at both banks? What is it? + +Hint: modsim provides a function called exp, which is a wrapper for the NumPy function exp. + +#+BEGIN_SRC ipython :session :results raw drawer + import sympy as sp + import numpy as np + + p0, a, n, t = sp.symbols('p0 a n t') + f = sp.Function('f') + fgb = p0 * (1 + a) ** t + esl = p0 * sp.exp(a * t) + fgbamnt = fgb.subs(a, 0.03).subs(p0, 1000).subs(t,10) + eslamnt = esl.subs(a, 0.03).subs(p0, 1000).subs(t, 10) + fgbamnt,eslamnt #+END_SRC + +#+RESULTS: +:RESULTS: +| 1343.91637934412 | 1349.858807576 | +:END: + +Because both equations are fundamentally different, \alpha for FGB would have to change every year to match ESL. + +* Exercise 3 + Suppose a new bank opens called the Polynomial Credit Union (PCU). +In order to compete with First Geometric Bank and Exponential Savings and Loan, PCU offers a parabolic savings account where the balance is a polynomial function of time: + +$ x(t) = p_0 + \beta_1 t + \beta_2 t^2 $ + +As a special deal, they offer an account with $\beta_1 = 30$ and $\beta_2 = 0.5$, with those parameters guaranteed for life. +Suppose you deposit \$1000 at all three banks at the beginning of Year 0. +How much would you have in each account at the end of Year 10? +How about Year 20? +And Year 100? + +#+BEGIN_SRC ipython :session :results raw drawer + b1, b2 = sp.symbols('b1 b2') + pcu = p0 + b1 * t + b2 * t ** 2 + pcuyrs = pcu.subs(p0, 1000).subs(b1, 30).subs(b2, 0.5) + fgbyrs = fgb.subs(a, 0.03).subs(p0, 1000) + eslyrs = esl.subs(a, 0.03).subs(p0, 1000) + yrs = 10, 20, 100 + + amnts = pd.DataFrame({'PCU': [pcuyrs.subs(t, y) for y in yrs], 'FGB': [ + fgbyrs.subs(t, y) for y in yrs], 'ESL': [eslyrs.subs(t, y) for y in yrs]}) + amnts = amnts.set_index(pd.Series(yrs)) + amnts +#+END_SRC + +#+RESULTS: +:RESULTS: + ESL FGB PCU +10 1349.85880757600 1343.91637934412 1350.00000000000 +20 1822.11880039051 1806.11123466941 1800.00000000000 +100 20085.5369231877 19218.6319808563 9000.00000000000 +:END: From 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zaA9GJz>AaW=4>ep=t3~&1}4MY75Vl}1P2$FO+tb$G&Hp4ktz@=16$9NxcT@<0P5Cn z|C$!!@81GZoX3k38M+1lFL z=kI3C0{HRDoRFuW9B5hlsBt8c=6sM&b`+feUeYkxNiF?sCUSbe_bmRe2(DjhkG98RO3= qK}@tHXi7w* Date: Sun, 17 Sep 2017 19:29:03 +0000 Subject: [PATCH 31/51] update chap03 --- code/chap03mine.org | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/code/chap03mine.org b/code/chap03mine.org index 40bd0c53..383d88b7 100644 --- a/code/chap03mine.org +++ b/code/chap03mine.org @@ -346,7 +346,7 @@ The following cells process this table and plot some of the results. Select table1, which is the second table on the page. -#+BEGIN_SRC ipython :session :results raw drawer :file chap03fig/pre.png +#+BEGIN_SRC ipython :session :results raw drawer :file chap03fig/pre.png :exports both table1 = wpe[1] table1.replace('M', np.nan, regex=True, inplace=True) table1.columns = ['prb', 'un', 'maddison', 'hyde', 'tanton', @@ -361,7 +361,7 @@ Select table1, which is the second table on the page. [[file:chap03fig/pre.png]] :END: -#+BEGIN_SRC ipython :session :file chap03fig/test.png +#+BEGIN_SRC ipython :session :file chap03fig/test.png :exports both def update_func1b(pop, t, system): """Compute the population next year. From b75fc06ca961a3f0b63120eaf5ce8d185b4bbdad Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Sun, 17 Sep 2017 19:30:14 +0000 Subject: [PATCH 32/51] :exports both for chapter 4 --- code/chap04mine.org | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/code/chap04mine.org b/code/chap04mine.org index f3020c11..56ef4eb9 100644 --- a/code/chap04mine.org +++ b/code/chap04mine.org @@ -59,7 +59,7 @@ What happens if we start with an initial population above the carrying capacity, like 20 billion? The the model with initial populations between 1 and 20 billion, and plot the results on the same axes. -#+BEGIN_SRC ipython :session :results raw drawer :file chap04fig/abovecap.png +#+BEGIN_SRC ipython :session :results raw drawer :file chap04fig/abovecap.png :exports both ax = census.plot() for system.p0 in range(1,20): temp_sys = system.copy() @@ -90,7 +90,7 @@ Is there an interest rate FGB could pay so that your balance at the end of each Hint: modsim provides a function called exp, which is a wrapper for the NumPy function exp. -#+BEGIN_SRC ipython :session :results raw drawer +#+BEGIN_SRC ipython :session :results raw drawer :exports both import sympy as sp import numpy as np @@ -122,7 +122,7 @@ How much would you have in each account at the end of Year 10? How about Year 20? And Year 100? -#+BEGIN_SRC ipython :session :results raw drawer +#+BEGIN_SRC ipython :session :results raw drawer :exports both b1, b2 = sp.symbols('b1 b2') pcu = p0 + b1 * t + b2 * t ** 2 pcuyrs = pcu.subs(p0, 1000).subs(b1, 30).subs(b2, 0.5) From 4d03147dac9c387edbf91248c12cb3819b30a3a5 Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Sun, 17 Sep 2017 19:31:43 +0000 Subject: [PATCH 33/51] change last exercise's output --- code/chap04mine.org | 14 ++++++-------- 1 file changed, 6 insertions(+), 8 deletions(-) diff --git a/code/chap04mine.org b/code/chap04mine.org index 56ef4eb9..f732a936 100644 --- a/code/chap04mine.org +++ b/code/chap04mine.org @@ -122,7 +122,7 @@ How much would you have in each account at the end of Year 10? How about Year 20? And Year 100? -#+BEGIN_SRC ipython :session :results raw drawer :exports both +#+BEGIN_SRC ipython :session :results output :exports both b1, b2 = sp.symbols('b1 b2') pcu = p0 + b1 * t + b2 * t ** 2 pcuyrs = pcu.subs(p0, 1000).subs(b1, 30).subs(b2, 0.5) @@ -133,13 +133,11 @@ And Year 100? amnts = pd.DataFrame({'PCU': [pcuyrs.subs(t, y) for y in yrs], 'FGB': [ fgbyrs.subs(t, y) for y in yrs], 'ESL': [eslyrs.subs(t, y) for y in yrs]}) amnts = amnts.set_index(pd.Series(yrs)) - amnts + print(amnts) #+END_SRC #+RESULTS: -:RESULTS: - ESL FGB PCU -10 1349.85880757600 1343.91637934412 1350.00000000000 -20 1822.11880039051 1806.11123466941 1800.00000000000 -100 20085.5369231877 19218.6319808563 9000.00000000000 -:END: +: ESL FGB PCU +: 10 1349.85880757600 1343.91637934412 1350.00000000000 +: 20 1822.11880039051 1806.11123466941 1800.00000000000 +: 100 20085.5369231877 19218.6319808563 9000.00000000000 From f74c21e6c09d42164719485f1f0270c2c7e6e975 Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Sun, 1 Oct 2017 14:37:10 +0000 Subject: [PATCH 34/51] add rabbits --- code/obipy-resources/28440uCp.png | Bin 0 -> 24055 bytes code/obipy-resources/48211Nb.png | Bin 0 -> 20166 bytes code/obipy-resources/4821BlC.png | Bin 0 -> 20166 bytes code/obipy-resources/4821CfV.png | Bin 0 -> 20166 bytes code/obipy-resources/4821Pin.png | Bin 0 -> 20166 bytes code/obipy-resources/4821RtT.png | Bin 0 -> 20166 bytes code/obipy-resources/4821b5O.png | Bin 0 -> 20166 bytes code/obipy-resources/4821oKJ.png | Bin 0 -> 20166 bytes code/obipy-resources/4821p2z.png | Bin 0 -> 20166 bytes code/obipy-resources/4821rBg.png | Bin 0 -> 20166 bytes code/rab2fig/rabs.png | Bin 0 -> 24093 bytes code/rabbits2mine.org | 103 ++++++++++++++++++++++++++++++ code/rabbits2mine.pdf | Bin 0 -> 97159 bytes code/rabbits2mine.tex | 101 +++++++++++++++++++++++++++++ 14 files changed, 204 insertions(+) create mode 100644 code/obipy-resources/28440uCp.png create mode 100644 code/obipy-resources/48211Nb.png 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%matplotlib inline + from modsim import * +#+END_SRC + +#+RESULTS: + +#+BEGIN_SRC ipython :session :results raw drawer + system = System(t0=0, + t_end=10, + adult_pop0=10, + birth_rate=0.9, + death_rate=0.5, + juvenile_pop0=0, + mature_rate=0.33) + + system +#+END_SRC + +#+RESULTS: +:RESULTS: +t0 0.00 +t_end 10.00 +adult_pop0 10.00 +birth_rate 0.90 +death_rate 0.50 +juvenile_pop0 0.00 +mature_rate 0.33 +dtype: float64 +:END: + +#+BEGIN_SRC ipython :session + def run_simulation(system): + """Runs a proportional growth model. + + Adds TimeSeries to `system` as `results`. + + system: System object with t0, t_end, p0, + birth_rate and death_rate + """ + juveniles = TimeSeries() + juveniles[system.t0] = system.juvenile_pop0 + adults = TimeSeries() + adults[system.t0] = system.adult_pop0 + + for t in linrange(system.t0, system.t_end): + births = system.birth_rate * adults[t] + deaths = system.death_rate * adults[t] + maturations = juveniles[t] * system.mature_rate + + adults[t + 1] = adults[t] + maturations - deaths + juveniles[t + 1] = juveniles[t] + births - maturations + + system.adults = adults + system.juveniles = juveniles +#+END_SRC + +#+RESULTS: + +#+BEGIN_SRC ipython :session :output raw drawer + run_simulation(system) + system.adults +#+END_SRC + +#+RESULTS: +#+begin_example +0 10.000000 +1 5.000000 +2 5.470000 +3 6.209900 +4 7.057723 +5 8.021560 +6 9.117031 +7 10.362107 +8 11.777219 +9 13.385586 +10 15.213601 +11 17.291261 +dtype: float64 +#+end_example + +#+BEGIN_SRC ipython :session + def plot_results(system, title=None): + """Plot the estimates and the model. + + system: System object with `results` + """ + newfig() + plot(system.adults, 'bo-', label='adults') + plot(system.juveniles, 'rs-', label='juveniles') + decorate(xlabel='Season', + ylabel='Rabbit population', + title=title) +#+END_SRC + +#+RESULTS: + +#+BEGIN_SRC ipython :session :results file :file rab2fig/rabs.png :exports both + plot_results(system, title='Proportional growth model') +#+END_SRC + +#+RESULTS: +[[file:rab2fig/rabs.png]] diff --git a/code/rabbits2mine.pdf b/code/rabbits2mine.pdf new file mode 100644 index 0000000000000000000000000000000000000000..1eb9817acec3f078d29396acec4eb9df8385038c GIT binary patch literal 97159 zcma&ObyU?))HkYhhcrlcBh8_^58Wk5NarC0MCp)jq`N`sZV9D3C8S$IkhmfpEz>P5Vj|L9b-hxBmw<2OV6nu6i6oU0jK#ty}3CQs(~ z1Ulaz3fF_-7@YwmvG4D*;yQf9Y^upd%7&Sq zE3;KG%a48PrPQVptYUtu-fYIh2oH)o3E~~<;0gZ}MVRO&YLr?HkC)K}|N*!k&Z``__$uAFnc& z2j1x<1GWdzvf@HE2nF49PCBiYN`|JB&QyW4lVQ5V z$EVA*s_R{x$)v=Rl*x5%sHoysrarOn7H$>#z5=Wx*nb8Je~fpNF1?U4Djla-GB%=l zOS5JiE2}-a%$t*$C_vI{R69+vS!*?sLQgYxWuQ6V@9+0lz-(+sXss-DZ|QGHa`5Y} z9CyY_1O{)?li&g8sUMmP1>yugZ)d2#mz*PIVwd%?K)ZgJHt$kgV<1|oeNV|E$0g1p zA9+T=t!hut3omz6H#ahFamIO9nJQ5fX{$y{wFEU{`j{*?*l;NIwVXZLZa##y$8{MF z7aVtWKB5!4jB0al^1C(N$}p|np+Y(Qh=Yk=!B&>~v}!zkM~xbJcpd48MJeTq6?)#GkfeKuJxZS#Jx_y} z@^uT7U{%O2;mizBXWp#7;-jY6^%!qTqCQV@wo|nS~EU5 zN}L(2@S?oJ zb^32ES-&yrNbGBx1x#!LICQ!K8w^tFkHoVCxwI=7{F7S@(;u?zEzwt6yO|Zlh~Wej 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    1cK03(dQe*Fz!%uR<$mGO1_1dnZ+bUG%_RX2$`=h@oo`t~}$&7t*+Dahuc1Hb6N z^f;!8h_Q0e5VpX`<_ud;L=y-~3KkBLL!)iJ`7ANk_;O_>i^a;LJ|7ZsXEliD-(Tjw z`*C09>Ow_a@&s3*DdTRe&pTzVr3BY{89Lnm(kffaRaPAt8{^Mc9kQjVJ9J%=kL?2! zD0(RFGm;_|sUR|!pSXe3+C$xgM5P?6FSUqJDjk{WDcGH2LSo{UxyA?k z)N+pvRg$2QUteF3KyWx56Qj~2kng(N7j8^N5(o^C6ve~TL|tqN%@f1<1qtffq4s1$ z1y!0n*{KV#o&J#)13kOwcUg;fWfaMf!+qrG$N6A)GFkNU<==v@I4Uu3^}6hDjBeZN zHhESX0Ymf@0yUt7wI)(GZ57r_?V?(do@pX~Dph{1{h0A;EtE^!m`)u~8=`^Y3t2zE zP%(8ZN)KAxOKYXP{HQ-hZ+EV z-r#U_I;Jujcx6=Id!YCyJlqWGFy(&&==J zyZ6%GpHo)m@UavLelam2p$Dwq!lI(K#EjR?d$^u_QvgaQy-xNGF82ymD+g`1d%E%V z@ErR0A&6y|Ca5juTH;lFYN~U$TtblG z9qz3087(Kq?Lj2icMn#|%!lez=Y}9Dy2TG(XteuLBAR44#ScP`9U8(PH~R$USxR#G= z3*$o62Y6xh6-u@QGWpyoP+pR&2N?PcQ0>y8G#yHQ+Z{tZI~u@;2-T&LkdP7hF)Fr5 znYkLFgRI-hW&q4d2aPIyJT^P#-TU|S@xzoSCzs(Is5srr9&8#+00G`f?)+%sbfjOc ze2@7iujStPmxNQgP%Ly7?@4RjQ>JrZVDhc3t+k|6lqMbxR(P(`l0(K!p??1rr+9xC zBi-;@!KXV+>ZVk$^LXGeAZ-6QH>U|8C>ml93nl@?A6`VVAk%RxH0sz&m#A77(%w=J zMnpsuAF{Qu2)<$h2T}scM60bBbe;^bKtwYJ`k@vNuw(9S^5FG4l~0w~ zH9MTh6YgTjZzV^+{n$>r78V;;pox8i-UGD(D3apD<~kupY0o$_fOON0kHr8 literal 0 HcmV?d00001 diff --git a/code/chap05mine.org b/code/chap05mine.org new file mode 100644 index 00000000..52cce7e5 --- /dev/null +++ b/code/chap05mine.org @@ -0,0 +1,110 @@ +#+options: toc:nil num:nil + +#+title: Chapter 5 Notebook + +#+name: pre +#+BEGIN_SRC python + import pandas as pd + import numpy as np + + + def make_system(beta, gamma): + init = pd.Series({'S': 89, 'I': 1, 'R': 0}) + init /= sum(init) + t0 = 0 + t_end = 98 + + return pd.Series({'init': init, 't0': t0, 't_end': t_end, 'beta': beta, 'gamma': gamma}) +#+END_SRC + +#+name: update1 +#+BEGIN_SRC python + def update1(state, system): + s, i, r = state['S'], state['I'], state['R'] + infected = system.beta * i * s + recovered = system.gamma * i + + s -= infected + i += infected - recovered + r += recovered + + return pd.Series({'S': s, 'I': i, 'R': r}) +#+END_SRC + +* Exercise 1 +Suppose the time between contacts is 4 days and the recovery time is 5 days. +After 14 weeks, how many students, total, have been infected? + +#+BEGIN_SRC python :results output :exports both :noweb yes + <
    >
    +  <>
    +
    +  def run_simulation(system, update_func):
    +      state = system.init
    +      for t in np.arange(system.t0, system.t_end + 1):
    +          state = update_func(state, system)
    +      return state
    +
    +
    +  init = pd.Series({'S': 89, 'I': 1, 'R': 0})
    +  init /= sum(init)
    +
    +  state = update1(init, make_system(1 / 3, 1 / 4))
    +
    +  afterwards = (run_simulation(make_system(1 / 4, 1 / 5), update1))
    +  totalInfected = 90 * afterwards.S
    +
    +  print(totalInfected)
    +#+END_SRC
    +
    +#+RESULTS:
    +: 54.8512613091
    +
    +The amount infected is $89 - 55 = 34$
    +
    +* Exercise 2
    +Suppose the time between contacts is 4 days and the recovery time is 5 days.
    +Simulate this scenario for 14 days and plot the results.
    +
    +#+BEGIN_SRC python :results file :var fname="chap05fig/2.png" :noweb yes :exports both
    +  <
    >
    +  <>
    +
    +  def run_simulation(system, update_func):
    +      df = pd.DataFrame(columns = system.init.index)
    +      df.loc[system.t0] = system.init
    +      for i in np.arange(system.t0, system.t_end):
    +          df.loc[i + 1] = update_func(df.loc[i], system)
    +      system.results = df
    +
    +  system = make_system(1 / 4, 1 / 5)
    +  run_simulation(system, update1)
    +  ax = system.results.plot()
    +  ax.figure.savefig(fname)
    +  return fname
    +#+END_SRC
    +
    +#+RESULTS:
    +[[file:chap05fig/2.png]]
    +
    +* Exercise 3
    +Write functions that take a System object as a parameter, extract the results object from it, and compute the other metrics mentioned in the book:
    +
    +1. The fraction of students who are sick at the peak of the outbreak.
    +2. The day the outbreak peaks.
    +3. The fraction of students who are sick at hte end of the semester.
    +
    +* Exercise 4
    +Modify the parameters M, K, and B, and see what effect they have on the shape of the curve.
    +Read about the [[https://en.wikipedia.org/wiki/Generalised_logistic_function][generalized logistic function on Wikipedia]].
    +Modify the other parameters and see what effect they have.
    +
    +* Exercise 5
    +Suppose the price of the vaccine drops to $50 per dose.
    +How does that affect hte optimal allocation of the spending?
    +
    +* Exercise 6
    +Suppose we have the option to quarantine infected students.
    +For example, a students who feels ill might be moved to an infirmary, or a private dorm room, until they are no longer infectious.
    +
    +How might you incorporate the effect of quarantine in the SIR model?
    
    From 6e0b9252a8298194d0ce29311ad78fe040d1592f Mon Sep 17 00:00:00 2001
    From: Kawin Nikomborirak 
    Date: Sun, 1 Oct 2017 17:17:06 +0000
    Subject: [PATCH 36/51] complete chap05
    
    ---
     code/chap05fig/budget.png   | Bin 0 -> 20686 bytes
     code/chap05fig/logistic.png | Bin 0 -> 12169 bytes
     code/chap05mine.org         | 172 +++++++++++++++++++++++++++++++++++-
     3 files changed, 168 insertions(+), 4 deletions(-)
     create mode 100644 code/chap05fig/budget.png
     create mode 100644 code/chap05fig/logistic.png
    
    diff --git a/code/chap05fig/budget.png b/code/chap05fig/budget.png
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    literal 0
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    diff --git a/code/chap05mine.org b/code/chap05mine.org
    index 52cce7e5..3fe98dcc 100644
    --- a/code/chap05mine.org
    +++ b/code/chap05mine.org
    @@ -17,6 +17,10 @@
           return pd.Series({'init': init, 't0': t0, 't_end': t_end, 'beta': beta, 'gamma': gamma})
     #+END_SRC
     
    +* Exercise 1
    +Suppose the time between contacts is 4 days and the recovery time is 5 days.
    +After 14 weeks, how many students, total, have been infected?
    +
     #+name: update1
     #+BEGIN_SRC python
       def update1(state, system):
    @@ -31,10 +35,6 @@
           return pd.Series({'S': s, 'I': i, 'R': r})
     #+END_SRC
     
    -* Exercise 1
    -Suppose the time between contacts is 4 days and the recovery time is 5 days.
    -After 14 weeks, how many students, total, have been infected?
    -
     #+BEGIN_SRC python :results output :exports both :noweb yes
       <
    >
       <>
    @@ -93,18 +93,182 @@ Write functions that take a System object as a parameter, extract the results ob
     1. The fraction of students who are sick at the peak of the outbreak.
     2. The day the outbreak peaks.
     3. The fraction of students who are sick at hte end of the semester.
    +   
    +#+BEGIN_SRC python
    +  def most_sick(system):
    +      return system.results.I.max()
    +
    +
    +  def most_sick_day(system):
    +      return system.results.I.idxmax()
    +
    +
    +  def end_sick(system):
    +      return system.results.I.tail(1)
    +#+END_SRC
     
     * Exercise 4
     Modify the parameters M, K, and B, and see what effect they have on the shape of the curve.
     Read about the [[https://en.wikipedia.org/wiki/Generalised_logistic_function][generalized logistic function on Wikipedia]].
     Modify the other parameters and see what effect they have.
     
    +#+BEGIN_SRC python :exports both :results file :var fname="chap05fig/logistic.png"
    +  import matplotlib.pyplot as plt
    +  import numpy as np
    +
    +
    +  def logistic(x, A=0, B=1, C=1, M=0, K=1, Q=1, nu=1):
    +      exponent = -B * (x - M)
    +      denom = C + Q * np.exp(exponent)
    +      return A + (K - A) / denom ** (1 / nu)
    +
    +
    +  def compute_factor(spending):
    +      return logistic(spending, M=0, K=2, B=0.1)
    +
    +
    +  spending = np.arange(0, 1200, 50)
    +  percent_reduction = compute_factor(spending) * 100
    +
    +  plt.plot(spending, percent_reduction)
    +  ax = plt.gca()
    +  ax.figure.savefig(fname)
    +
    +  return(fname)
    +#+END_SRC
    +
    +#+RESULTS:
    +[[file:chap05fig/logistic.png]]
    +
     * Exercise 5
     Suppose the price of the vaccine drops to $50 per dose.
     How does that affect hte optimal allocation of the spending?
     
    +#+BEGIN_SRC python :noweb yes :var fname="chap05fig/budget.png" :results file :exports both
    +  <
    >
    +  <>
    +
    +  def run_simulation(system, update_func):
    +      """Runs a simulation of the system.
    +
    +      Add a DataFrame to the System: results
    +
    +      system: System object
    +      update_func: function that updates state
    +      """
    +      frame = pd.DataFrame(columns=system.init.index)
    +      frame.loc[system.t0] = system.init
    +
    +      for i in np.arange(system.t0, system.t_end):
    +          frame.loc[i+1] = update_func(frame.loc[i], system)
    +
    +      system.results = frame
    +
    +  def calc_total_infected(system):
    +      """Fraction of population infected during the simulation.
    +
    +      system: System object with results.
    +
    +      returns: fraction of population
    +      """
    +      frame = system.results
    +      return frame.S[system.t0] - frame.S[system.t_end]
    +
    +
    +  def add_immunization(system, fraction):
    +      """Immunize a fraction of the population.
    +
    +      Moves the given fraction from S to R.
    +
    +      system: System object
    +      fraction: number from 0 to 1
    +      """
    +      system.init.S -= fraction
    +      system.init.R += fraction
    +
    +
    +  def add_hand_washing(system, spending):
    +      """Modifies system to model the effect of hand washing.
    +
    +      system: System object
    +      spending: campaign spending in USD
    +      """
    +      factor = compute_factor(spending)
    +      system.beta *= (1 - factor)
    +
    +
    +  def compute_factor(spending):
    +      """Reduction factor as a function of spending.
    +
    +      spending: dollars from 0 to 1200
    +
    +      returns: fractional reduction in beta
    +      """
    +      return logistic(spending, M=500, K=0.2, B=0.01)
    +
    +
    +  def logistic(x, A=0, B=1, C=1, M=0, K=1, Q=1, nu=1):
    +      """Computes the generalize logistic function.
    +
    +      A: controls the lower bound
    +      B: controls the steepness of the transition 
    +      C: not all that useful, AFAIK
    +      M: controls the location of the transition
    +      K: controls the upper bound
    +      Q: shift the transition left or right
    +      nu: affects the symmetry of the transition
    +
    +      returns: float or array
    +      """
    +      exponent = -B * (x - M)
    +      denom = C + Q * np.exp(exponent)
    +      return A + (K-A) / denom ** (1/nu)
    +
    +
    +  def sweep_doses(dose_array):
    +      sweep = pd.Series()
    +      for doses in dose_array:
    +          fraction = doses / num_students
    +          spending = budget - doses * price_per_dose
    +
    +          system = make_system(beta, gamma)
    +          add_immunization(system, fraction)
    +          add_hand_washing(system, spending)
    +
    +          run_simulation(system, update1)
    +          sweep.loc[doses] = calc_total_infected(system)
    +      return sweep
    +
    +
    +  beta = 1 / 3
    +  gamma = 1 / 4
    +  num_students = 90
    +  budget = 1200
    +  price_per_dose = 50
    +  max_doses = _per_dose = budget // price_per_dose
    +  dose_array = np.arange(max_doses)
    +
    +
    +  infected_sweep = sweep_doses(dose_array)
    +
    +  ax = infected_sweep.plot()
    +  ax.figure.savefig(fname)
    +  return fname
    +#+END_SRC
    +
    +#+RESULTS:
    +[[file:chap05fig/budget.png]]
    +
     * Exercise 6
     Suppose we have the option to quarantine infected students.
     For example, a students who feels ill might be moved to an infirmary, or a private dorm room, until they are no longer infectious.
     
     How might you incorporate the effect of quarantine in the SIR model?
    +
    +#+BEGIN_SRC python
    +  def quarantine(system, rate, gamma0):
    +      system.gamma = gamma0 * (1 - rate)
    +#+END_SRC
    +
    +#+RESULTS:
    +: None
    
    From 49f0701abc20114d60e93a9a6970ef07741990cf Mon Sep 17 00:00:00 2001
    From: Kawin Nikomborirak 
    Date: Tue, 3 Oct 2017 19:43:25 +0000
    Subject: [PATCH 37/51] add rabbits3
    
    ---
     code/rabbits3mine.org | 79 +++++++++++++++++++++++++++++++++++++++++++
     1 file changed, 79 insertions(+)
     create mode 100644 code/rabbits3mine.org
    
    diff --git a/code/rabbits3mine.org b/code/rabbits3mine.org
    new file mode 100644
    index 00000000..57b0aadb
    --- /dev/null
    +++ b/code/rabbits3mine.org
    @@ -0,0 +1,79 @@
    +#+name: pre
    +#+BEGIN_SRC python
    +  from modsim import *
    +
    +  init = State(juveniles=0, adults=10)
    +  system = System(init=init, t0 = 0, t_end=20, birth_rate=0.90,
    +                   mature_rate=0.33, death_rate=0.5)
    +#+END_SRC
    +
    +#+RESULTS: pre
    +
    +#+name: run
    +#+BEGIN_SRC python
    +  <
    >
    +
    +  def run_simulation(system):
    +      """Runs a proportional growth model.
    +
    +      Adds TimeSeries to `system` as `results`.
    +
    +      system: System object
    +      """
    +      juveniles = TimeSeries()
    +      juveniles[system.t0] = system.init.juveniles
    +
    +      adults = TimeSeries()
    +      adults[system.t0] = system.init.adults
    +
    +      for t in linrange(system.t0, system.t_end):
    +          maturations = system.mature_rate * juveniles[t]
    +          births = system.birth_rate * adults[t]
    +          deaths = system.death_rate * adults[t]
    +
    +          if adults[t] > 30:
    +              market = adults[t] - 30
    +          else:
    +              market = 0
    +
    +          juveniles[t + 1] = juveniles[t] + births - maturations
    +          adults[t + 1] = adults[t] + maturations - deaths - market
    +
    +      system.adults = adults
    +      system.juveniles = juveniles
    +#+END_SRC
    +
    +#+RESULTS: run
    +
    +#+BEGIN_SRC python :results output :noweb yes :results both
    +  <>
    +  run_simulation(system)
    +  print(system.adults)
    +#+END_SRC
    +
    +#+RESULTS:
    +#+begin_example
    +0     10.000000
    +1      5.000000
    +2      5.470000
    +3      6.209900
    +4      7.057723
    +5      8.021560
    +6      9.117031
    +7     10.362107
    +8     11.777219
    +9     13.385586
    +10    15.213601
    +11    17.291261
    +12    19.652658
    +13    22.336542
    +14    25.386953
    +15    28.853947
    +16    32.794414
    +17    34.478600
    +18    36.487431
    +19    37.893339
    +20    39.401924
    +21    40.546917
    +dtype: float64
    +#+end_example
    
    From d56fe4f47e2ca3cbc54213beabd13dc75274c307 Mon Sep 17 00:00:00 2001
    From: Kawin Nikomborirak 
    Date: Tue, 3 Oct 2017 19:55:58 +0000
    Subject: [PATCH 38/51] add rbbits3mine
    
    ---
     code/rabbits3mine.org |  68 +++++++++++++++++-
     code/rabbits3mine.tex | 157 ++++++++++++++++++++++++++++++++++++++++++
     2 files changed, 224 insertions(+), 1 deletion(-)
     create mode 100644 code/rabbits3mine.tex
    
    diff --git a/code/rabbits3mine.org b/code/rabbits3mine.org
    index 57b0aadb..df15dfa7 100644
    --- a/code/rabbits3mine.org
    +++ b/code/rabbits3mine.org
    @@ -1,6 +1,6 @@
     #+name: pre
     #+BEGIN_SRC python
    -  from modsim import *
    +  from modsim import (TimeSeries, TimeFrame, System, State, linrange)
     
       init = State(juveniles=0, adults=10)
       system = System(init=init, t0 = 0, t_end=20, birth_rate=0.90,
    @@ -77,3 +77,69 @@
     21    40.546917
     dtype: float64
     #+end_example
    +
    +#+name: frame
    +#+BEGIN_SRC python :noweb yes :results output
    +  <
    >
    +
    +  def run_simulation(system):
    +      """Runs a proportional growth model.
    +
    +      Adds TimeSeries to `system` as `results`.
    +
    +      system: System object
    +      """
    +      frame = TimeFrame(columns=system.init.index)
    +      frame.loc[system.t0] = system.init
    +
    +      for t in linrange(system.t0, system.t_end):
    +          maturations = system.mature_rate * frame['juveniles'][t]
    +          births = system.birth_rate * frame['adults'][t]
    +          deaths = system.death_rate * frame['adults'][t]
    +
    +          if frame['adults'][t] > 30:
    +              market = frame['adults'][t] - 30
    +          else:
    +              market = 0
    +
    +          frame.loc[t + 1] = [frame['juveniles'][t] + births - maturations,
    +                              frame['juveniles'][t] + maturations - deaths - market]
    +
    +      system.results = frame
    +  run_simulation(system)
    +  print(system.results)
    +#+END_SRC
    +
    +#+RESULTS: frame
    +#+begin_example
    +      juveniles       adults
    +0      0.000000    10.000000
    +1      9.000000    -5.000000
    +2      1.530000    14.470000
    +3     14.048100    -5.200100
    +4      4.732137    21.284023
    +5     22.326152    -4.348269
    +6     11.045080    31.867917
    +7     36.081329    -3.111920
    +8     21.373763    49.544128
    +9     58.910136   -15.889088
    +10    25.169612    86.295025
    +11    94.529162   -65.966953
    +12     3.964281   158.707262
    +13   145.492605  -202.788399
    +14   -85.029514   294.899364
    +15   208.439653  -525.438299
    +16  -333.239902   539.943888
    +17   262.678765 -1223.124901
    +18  -924.817639   960.925208
    +19   245.204869 -2641.395271
    +20 -2212.968481  1646.820111
    +21    -0.550783 -5383.478247
    +#+end_example
    +
    +#+BEGIN_SRC python :noweb yes
    +  <
    >
    +
    +  def plot_results(sytsem):
    +      system.results.plot()
    +#+END_SRC
    diff --git a/code/rabbits3mine.tex b/code/rabbits3mine.tex
    new file mode 100644
    index 00000000..4a8935e0
    --- /dev/null
    +++ b/code/rabbits3mine.tex
    @@ -0,0 +1,157 @@
    +% Created 2017-10-03 Tue 19:55
    +% Intended LaTeX compiler: pdflatex
    +\documentclass[11pt]{article}
    +\usepackage[utf8]{inputenc}
    +\usepackage[T1]{fontenc}
    +\usepackage{graphicx}
    +\usepackage{grffile}
    +\usepackage{longtable}
    +\usepackage{wrapfig}
    +\usepackage{rotating}
    +\usepackage[normalem]{ulem}
    +\usepackage{amsmath}
    +\usepackage{textcomp}
    +\usepackage{amssymb}
    +\usepackage{capt-of}
    +\usepackage{hyperref}
    +\usepackage{minted}
    +\author{Kawin Nikomborirak}
    +\date{\today}
    +\title{}
    +\hypersetup{
    + pdfauthor={Kawin Nikomborirak},
    + pdftitle={},
    + pdfkeywords={},
    + pdfsubject={},
    + pdfcreator={Emacs 25.3.1 (Org mode 9.1.1)}, 
    + pdflang={English}}
    +\begin{document}
    +
    +\tableofcontents
    +
    +\begin{minted}[frame=single]{python}
    +from modsim import (TimeSeries, TimeFrame, System, State, linrange)
    +
    +init = State(juveniles=0, adults=10)
    +system = System(init=init, t0 = 0, t_end=20, birth_rate=0.90,
    +		 mature_rate=0.33, death_rate=0.5)
    +\end{minted}
    +
    +\begin{minted}[frame=single]{python}
    +<
    >
    +
    +def run_simulation(system):
    +    """Runs a proportional growth model.
    +
    +    Adds TimeSeries to `system` as `results`.
    +
    +    system: System object
    +    """
    +    juveniles = TimeSeries()
    +    juveniles[system.t0] = system.init.juveniles
    +
    +    adults = TimeSeries()
    +    adults[system.t0] = system.init.adults
    +
    +    for t in linrange(system.t0, system.t_end):
    +	maturations = system.mature_rate * juveniles[t]
    +	births = system.birth_rate * adults[t]
    +	deaths = system.death_rate * adults[t]
    +
    +	if adults[t] > 30:
    +	    market = adults[t] - 30
    +	else:
    +	    market = 0
    +
    +	juveniles[t + 1] = juveniles[t] + births - maturations
    +	adults[t + 1] = adults[t] + maturations - deaths - market
    +
    +    system.adults = adults
    +    system.juveniles = juveniles
    +\end{minted}
    +
    +\begin{minted}[frame=single]{python}
    +from modsim import (TimeSeries, TimeFrame, System, State, linrange)
    +
    +init = State(juveniles=0, adults=10)
    +system = System(init=init, t0 = 0, t_end=20, birth_rate=0.90,
    +		 mature_rate=0.33, death_rate=0.5)
    +
    +def run_simulation(system):
    +    """Runs a proportional growth model.
    +
    +    Adds TimeSeries to `system` as `results`.
    +
    +    system: System object
    +    """
    +    juveniles = TimeSeries()
    +    juveniles[system.t0] = system.init.juveniles
    +
    +    adults = TimeSeries()
    +    adults[system.t0] = system.init.adults
    +
    +    for t in linrange(system.t0, system.t_end):
    +	maturations = system.mature_rate * juveniles[t]
    +	births = system.birth_rate * adults[t]
    +	deaths = system.death_rate * adults[t]
    +
    +	if adults[t] > 30:
    +	    market = adults[t] - 30
    +	else:
    +	    market = 0
    +
    +	juveniles[t + 1] = juveniles[t] + births - maturations
    +	adults[t + 1] = adults[t] + maturations - deaths - market
    +
    +    system.adults = adults
    +    system.juveniles = juveniles
    +run_simulation(system)
    +print(system.adults)
    +\end{minted}
    +
    +\begin{minted}[frame=single]{python}
    +from modsim import (TimeSeries, TimeFrame, System, State, linrange)
    +
    +init = State(juveniles=0, adults=10)
    +system = System(init=init, t0 = 0, t_end=20, birth_rate=0.90,
    +		 mature_rate=0.33, death_rate=0.5)
    +
    +def run_simulation(system):
    +    """Runs a proportional growth model.
    +
    +    Adds TimeSeries to `system` as `results`.
    +
    +    system: System object
    +    """
    +    frame = TimeFrame(columns=system.init.index)
    +    frame.loc[system.t0] = system.init
    +
    +    for t in linrange(system.t0, system.t_end):
    +	maturations = system.mature_rate * frame['juveniles'][t]
    +	births = system.birth_rate * frame['adults'][t]
    +	deaths = system.death_rate * frame['adults'][t]
    +
    +	if frame['adults'][t] > 30:
    +	    market = frame['adults'][t] - 30
    +	else:
    +	    market = 0
    +
    +	frame.loc[t + 1] = [frame['juveniles'][t] + births - maturations,
    +			    frame['juveniles'][t] + maturations - deaths - market]
    +
    +    system.results = frame
    +run_simulation(system)
    +print(system.results)
    +\end{minted}
    +
    +\begin{minted}[frame=single]{python}
    +from modsim import (TimeSeries, TimeFrame, System, State, linrange)
    +
    +init = State(juveniles=0, adults=10)
    +system = System(init=init, t0 = 0, t_end=20, birth_rate=0.90,
    +		 mature_rate=0.33, death_rate=0.5)
    +
    +def plot_results(sytsem):
    +    system.results.plot()
    +\end{minted}
    +\end{document}
    \ No newline at end of file
    
    From ab8f1c3c61d53081d07ee9a7c093a53248dd6c5c Mon Sep 17 00:00:00 2001
    From: Kawin Nikomborirak 
    Date: Tue, 3 Oct 2017 19:57:30 +0000
    Subject: [PATCH 39/51] add exports
    
    ---
     code/rabbits3mine.org | 4 ++--
     1 file changed, 2 insertions(+), 2 deletions(-)
    
    diff --git a/code/rabbits3mine.org b/code/rabbits3mine.org
    index df15dfa7..d40089e0 100644
    --- a/code/rabbits3mine.org
    +++ b/code/rabbits3mine.org
    @@ -45,7 +45,7 @@
     
     #+RESULTS: run
     
    -#+BEGIN_SRC python :results output :noweb yes :results both
    +#+BEGIN_SRC python :results output :noweb yes :exports both
       <>
       run_simulation(system)
       print(system.adults)
    @@ -79,7 +79,7 @@ dtype: float64
     #+end_example
     
     #+name: frame
    -#+BEGIN_SRC python :noweb yes :results output
    +#+BEGIN_SRC python :noweb yes :results output :exports both
       <
    >
     
       def run_simulation(system):
    
    From bcf1363a60566436a22e3be3ea51d75e1d17ba1d Mon Sep 17 00:00:00 2001
    From: Kawin Nikomborirak 
    Date: Thu, 5 Oct 2017 19:29:06 +0000
    Subject: [PATCH 40/51] add chap06mine
    
    ---
     code/chap06fig/test.png | Bin 0 -> 16213 bytes
     code/chap06mine.org     | 175 ++++++++++++++++++++++++++++++++++++++++
     2 files changed, 175 insertions(+)
     create mode 100644 code/chap06fig/test.png
     create mode 100644 code/chap06mine.org
    
    diff --git a/code/chap06fig/test.png b/code/chap06fig/test.png
    new file mode 100644
    index 0000000000000000000000000000000000000000..efc1cc00e242072eb31de164c5ad69a29ad70b5e
    GIT binary patch
    literal 16213
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    diff --git a/code/chap06mine.org b/code/chap06mine.org
    new file mode 100644
    index 00000000..6af82755
    --- /dev/null
    +++ b/code/chap06mine.org
    @@ -0,0 +1,175 @@
    +Exercise: Write a version of update1 that uses unpack.
    +#+BEGIN_SRC python
    +  def update1(state, system):
    +      """Update the SIR model.
    +    
    +      state: State (s, i, r)
    +      system: System object
    +    
    +      returns: State (sir)
    +      """
    +      unpack(state)
    +
    +      infected = system.beta * i * s    
    +      recovered = system.gamma * i
    +    
    +      s -= infected
    +      i += infected - recovered
    +      r += recovered
    +    
    +      return State(S=s, I=i, R=r)
    +#+END_SRC
    +
    +
    +Exercise: Write a version of =plot_sweep_frame=, called =plot_sweep_frame_difference=, that plots the fraction infected versus the difference beta-gamma.
    +
    +#+BEGIN_SRC python :results file :var fname="chap06fig/test.png" :exports both
    +  from modsim import (SweepSeries, TimeFrame, linspace, SweepFrame, State, np, System, unpack, linrange, plot)
    +  import matplotlib.pyplot as plt
    +
    +
    +  gamma_array = linspace(0.1, 0.7, 4)
    +  beta_array = linspace(0.1, 0.9, 11)
    +
    +
    +  def calc_total_infected(system):
    +      """Fraction of population infected during the simulation.
    +
    +      system: System object with results.
    +
    +      returns: fraction of population
    +      """
    +      frame = system.results
    +      return frame.S[system.t0] - frame.S[system.t_end]
    +
    +
    +  def update1(state, system):
    +      """Update the SIR model.
    +
    +      state: State (s, i, r)
    +      system: System object
    +
    +      returns: State (sir)
    +      """
    +      s, i, r = state
    +
    +      infected = system.beta * i * s
    +      recovered = system.gamma * i
    +
    +      s -= infected
    +      i += infected - recovered
    +      r += recovered
    +
    +      return State(S=s, I=i, R=r)
    +
    +
    +  def run_simulation(system, update_func):
    +      """Runs a simulation of the system.
    +
    +      Add a TimeFrame to the System: results
    +
    +      system: System object
    +      update_func: function that updates state
    +      """
    +      unpack(system)
    +
    +      frame = TimeFrame(columns=init.index)
    +      frame.loc[t0] = init
    +
    +      for i in linrange(t0, t_end):
    +          frame.loc[i + 1] = update_func(frame.loc[i], system)
    +
    +      system.results = frame
    +
    +
    +  def make_system(beta, gamma):
    +      """Make a system object for the SIR model.
    +
    +      beta: contact rate in days
    +      gamma: recovery rate in days
    +
    +      returns: System object
    +      """
    +      init = State(S=89, I=1, R=0)
    +      init /= np.sum(init)
    +
    +      t0 = 0
    +      t_end = 7 * 14
    +
    +      return System(init=init, t0=t0, t_end=t_end,
    +                    beta=beta, gamma=gamma)
    +
    +
    +  def sweep_beta(beta_array, gamma):
    +      """SweepSeriess a range of values for beta.
    +
    +      beta_array: array of beta values
    +      gamma: recovery rate
    +
    +      returns: SweepSeries that maps from beta to total infected
    +      """
    +      sweep = SweepSeries()
    +      for beta in beta_array:
    +          system = make_system(beta, gamma)
    +          run_simulation(system, update1)
    +          sweep[system.beta] = calc_total_infected(system)
    +      return sweep
    +
    +
    +  def sweep_parameters(beta_array, gamma_array):
    +      """SweepSeriess a range of values for beta and gamma.
    +
    +      beta_array: array of infection rates
    +      gamma_array: array of recovery rates
    +
    +      returns: SweepSeriesFrame with one row for each beta
    +               and one column for each gamma
    +      """
    +      frame = SweepFrame(columns=gamma_array)
    +      for gamma in gamma_array:
    +          frame[gamma] = sweep_beta(beta_array, gamma)
    +      return frame
    +
    +
    +  frame = sweep_parameters(beta_array, gamma_array)
    +
    +
    +  def plot_sweep_frame_difference(frame):
    +      for gamma in frame.columns:
    +          series = frame[gamma]
    +          for beta in series.index:
    +              frac_infected = series[beta]
    +              plot(beta - gamma, frac_infected, 'ro', label='Simulation')
    +
    +
    +  plot_sweep_frame_difference(frame)
    +  ax = plt.gca()
    +
    +  ax.figure.savefig(fname)
    +
    +  return fname
    +#+END_SRC
    +
    +#+RESULTS:
    +[[file:chap06fig/test.png]]
    +
    +The plot implies that a larger difference causes a larger fraction infected.
    +
    +#+BEGIN_SRC python :results output
    +  from modsim import *
    +
    +  s_inf_array = linspace(0.0001, 0.9999, 101)
    +  c_array = log(s_inf_array) / (s_inf_array - 1)
    +
    +  frac_infected = 1 - s_inf_array
    +  frac_infected_series = Series(frac_infected, index=c_array)
    +
    +  frac_infected_series.sort_index(inplace=True)
    +  print(np.interp(0.26, frac_infected_series, frac_infected_series.index))
    +
    +#+END_SRC
    +
    +#+RESULTS:
    +: 1.158096819542062
    +
    +The estimated c-value is 1.15.
    
    From 9276e1e8ec60e1c29f0ea61532d0d713eabdef0f Mon Sep 17 00:00:00 2001
    From: Kawin Nikomborirak 
    Date: Sat, 7 Oct 2017 19:14:48 +0000
    Subject: [PATCH 41/51] complete chap07
    
    ---
     code/chap07fig/milk.png | Bin 0 -> 18031 bytes
     code/chap07mine.org     | 129 ++++++++++++++++++++++++++++++++++++++++
     2 files changed, 129 insertions(+)
     create mode 100644 code/chap07fig/milk.png
     create mode 100644 code/chap07mine.org
    
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    diff --git a/code/chap07mine.org b/code/chap07mine.org
    new file mode 100644
    index 00000000..6857ea84
    --- /dev/null
    +++ b/code/chap07mine.org
    @@ -0,0 +1,129 @@
    +#+title: Chapter 7 Notebook
    +
    +#+name: pre
    +#+BEGIN_SRC python
    +  import pandas as pd
    +  import numpy as np
    +  from scipy.optimize import fsolve
    +
    +
    +  def update(state, sys):
    +      T = state.temp
    +      T += -sys.r * (T - sys.T_env) * sys['dt']
    +      return pd.Series({'temp': T})
    +
    +
    +  def final_temp(system):
    +      if hasattr(system, 'results'):
    +          return system.results.temp[system.t_end]
    +      else:
    +          return system.init.temp
    +
    +
    +  def run_simulation(sys, update_func):
    +      results = pd.DataFrame(columns=sys.init.index)
    +      results.loc[sys.t0] = sys.init
    +      for t in np.arange(sys.t0, sys.t_end, sys['dt']):
    +          results.loc[t + sys['dt']] = update_func(results.loc[t], sys)
    +      sys.results = results
    +
    +
    +  def make_system(T0=90, r=0.01, v=300, t_end=30):
    +      return pd.Series({'init': pd.Series({'temp': T0}), 'volume': v, 'r': r,
    +                        'T_env': 22, 't0': 0, 't_end': t_end, 'dt': 1})
    +#+END_SRC
    +
    +* Exercise 1
    +Simulate the temperature of 50 mL of milk with a starting temperature of 5 \deg C, in a vessel with the same insulation, for 15 minutes, and plot the results.
    +
    +#+BEGIN_SRC python :results file :var fname="chap07fig/milk.png" :noweb yes :exports both
    +  <
    >
    +  milk = make_system(T0=5, v=50, t_end=15, r=0.1)
    +  run_simulation(milk, update)
    +  ax = milk.results.plot()
    +  ax.figure.savefig(fname)
    +  return fname
    +#+END_SRC
    +
    +#+RESULTS:
    +[[file:chap07fig/milk.png]]
    +
    +* Exercise 2
    +When you call =fsolve=, it calls =error_func1= several times.
    +To see how this works, add a print statement to =error_func1= and run fsolve again.
    +
    +#+BEGIN_SRC python :results output :noweb yes
    +  <
    >
    +
    +  def error_func1(r):
    +      print('error_func1 run')
    +      system = make_system(r=r)
    +      run_simulation(system, update)
    +      return final_temp(system) - 70
    +
    +
    +  fsolve(error_func1, 0.01, xtol=1e-8)
    +#+END_SRC
    +
    +#+RESULTS:
    +: error_func1 run
    +: error_func1 run
    +: error_func1 run
    +: error_func1 run
    +: error_func1 run
    +: error_func1 run
    +: error_func1 run
    +: error_func1 run
    +: error_func1 run
    +
    +* Exercise 3
    +Repeat this process to estimate =r_milk=, given that it starts at 5 \deg and reaches 20 \deg after 15 minutes.
    +
    +#+BEGIN_SRC python :noweb yes :results output
    +  <
    >
    +  def milk_func(r):
    +      system = make_system(r=r, T0=5, t_end=15)
    +      run_simulation(system, update)
    +      return final_temp(system) - 20
    +
    +  r = fsolve(milk_func, 0.1, xtol=1e-8)
    +  print(r)
    +#+END_SRC
    +
    +#+RESULTS:
    +: [ 0.13296079]
    +
    +* Exercise 4
    +Suppose the coffee shop won't let me take milk in a separate container, but I keep a bottle of milk in the refrigerator at my office.
    +In that case is it better to add the milk at the coffee shop, or wait until I get to the office?
    +
    +- Hint :: Think about the simplest way to represent the behavior of a refrigerator in this model. The change you make to test this variation of the problem should be very small!
    +
    +#+BEGIN_SRC python :noweb yes :results output
    +  <
    >
    +
    +
    +  def mix(s1, s2):
    +      assert s1.t_end == s2.t_end
    +
    +      volume = s1.volume + s2.volume
    +
    +      temp = (s1.volume * final_temp(s1) +
    +              s2.volume * final_temp(s2)) / volume
    +
    +      return make_system(T0=temp, v=volume, r=s1.r)
    +
    +
    +  refMilk = make_system(T0=5, r=0, v=50, t_end=30)
    +  milk = make_system(T0=5, v=50)
    +  coffee = make_system(T0=90, t_end=30, r=0.01, v=300)
    +
    +  run_simulation(coffee, update)
    +  print(mix(coffee, refMilk).init)
    +#+END_SRC
    +
    +#+RESULTS:
    +: temp    62.685393
    +: dtype: float64
    +
    +It is slightly better to mix first.
    
    From ee2960101890d3a97f5db914a01043635918c6a9 Mon Sep 17 00:00:00 2001
    From: Kawin Nikomborirak 
    Date: Sat, 14 Oct 2017 13:20:29 +0000
    Subject: [PATCH 42/51] update chap07
    
    ---
     code/chap07mine.org | 8 ++++----
     1 file changed, 4 insertions(+), 4 deletions(-)
    
    diff --git a/code/chap07mine.org b/code/chap07mine.org
    index 6857ea84..ee845ad4 100644
    --- a/code/chap07mine.org
    +++ b/code/chap07mine.org
    @@ -52,7 +52,7 @@ Simulate the temperature of 50 mL of milk with a starting temperature of 5 \deg
     When you call =fsolve=, it calls =error_func1= several times.
     To see how this works, add a print statement to =error_func1= and run fsolve again.
     
    -#+BEGIN_SRC python :results output :noweb yes
    +#+BEGIN_SRC python :results output :noweb yes :exports both
       <
    >
     
       def error_func1(r):
    @@ -79,7 +79,7 @@ To see how this works, add a print statement to =error_func1= and run fsolve aga
     * Exercise 3
     Repeat this process to estimate =r_milk=, given that it starts at 5 \deg and reaches 20 \deg after 15 minutes.
     
    -#+BEGIN_SRC python :noweb yes :results output
    +#+BEGIN_SRC python :noweb yes :results output :exports both
       <
    >
       def milk_func(r):
           system = make_system(r=r, T0=5, t_end=15)
    @@ -99,7 +99,7 @@ In that case is it better to add the milk at the coffee shop, or wait until I ge
     
     - Hint :: Think about the simplest way to represent the behavior of a refrigerator in this model. The change you make to test this variation of the problem should be very small!
     
    -#+BEGIN_SRC python :noweb yes :results output
    +#+BEGIN_SRC python :noweb yes :results output :exports both
       <
    >
     
     
    @@ -126,4 +126,4 @@ In that case is it better to add the milk at the coffee shop, or wait until I ge
     : temp    62.685393
     : dtype: float64
     
    -It is slightly better to mix first.
    +It is slightly better to mix later.
    
    From a3626f80f8d333da2bb4ccd7ce84722e2dfbad99 Mon Sep 17 00:00:00 2001
    From: Kawin Nikomborirak 
    Date: Mon, 23 Oct 2017 21:43:08 +0000
    Subject: [PATCH 43/51] update chap08
    
    ---
     code/chap08-fig01.pdf     |  Bin 0 -> 14131 bytes
     code/chap08-fig02.pdf     |  Bin 0 -> 16030 bytes
     code/chap08-fig03.pdf     |  Bin 0 -> 15414 bytes
     code/chap08-fig04.pdf     |  Bin 0 -> 12094 bytes
     code/chap08fig/interp.png |  Bin 0 -> 17788 bytes
     code/chap08mine.ipynb     | 2917 +++++++++++++++++++++++++++++++++++++
     code/chap08mine.org       |   87 ++
     7 files changed, 3004 insertions(+)
     create mode 100644 code/chap08-fig01.pdf
     create mode 100644 code/chap08-fig02.pdf
     create mode 100644 code/chap08-fig03.pdf
     create mode 100644 code/chap08-fig04.pdf
     create mode 100644 code/chap08fig/interp.png
     create mode 100644 code/chap08mine.ipynb
     create mode 100644 code/chap08mine.org
    
    diff --git a/code/chap08-fig01.pdf b/code/chap08-fig01.pdf
    new file mode 100644
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    diff --git a/code/chap08mine.ipynb b/code/chap08mine.ipynb
    new file mode 100644
    index 00000000..3bf1d107
    --- /dev/null
    +++ b/code/chap08mine.ipynb
    @@ -0,0 +1,2917 @@
    +{
    + "cells": [
    +  {
    +   "cell_type": "markdown",
    +   "metadata": {},
    +   "source": [
    +    "# Modeling and Simulation in Python\n",
    +    "\n",
    +    "Chapter 8: Pharmacokinetics\n",
    +    "\n",
    +    "Copyright 2017 Allen Downey\n",
    +    "\n",
    +    "License: [Creative Commons Attribution 4.0 International](https://creativecommons.org/licenses/by/4.0)\n"
    +   ]
    +  },
    +  {
    +   "cell_type": "code",
    +   "execution_count": 1,
    +   "metadata": {
    +    "collapsed": true
    +   },
    +   "outputs": [],
    +   "source": [
    +    "# If you want the figures to appear in the notebook, \n",
    +    "# and you want to interact with them, use\n",
    +    "# %matplotlib notebook\n",
    +    "\n",
    +    "# If you want the figures to appear in the notebook, \n",
    +    "# and you don't want to interact with them, use\n",
    +    "# %matplotlib inline\n",
    +    "\n",
    +    "# If you want the figures to appear in separate windows, use\n",
    +    "# %matplotlib qt5\n",
    +    "\n",
    +    "# tempo switch from one to another, you have to select Kernel->Restart\n",
    +    "\n",
    +    "%matplotlib inline\n",
    +    "\n",
    +    "from modsim import *"
    +   ]
    +  },
    +  {
    +   "cell_type": "markdown",
    +   "metadata": {},
    +   "source": [
    +    "### Data\n",
    +    "\n",
    +    "We have data from Pacini and Bergman (1986), \"MINMOD: a computer program to calculate insulin sensitivity and pancreatic responsivity from the frequently sampled intravenous glucose tolerance test\", *Computer Methods and Programs in Biomedicine*, 23: 113-122.."
    +   ]
    +  },
    +  {
    +   "cell_type": "code",
    +   "execution_count": 2,
    +   "metadata": {},
    +   "outputs": [
    +    {
    +     "data": {
    +      "text/html": [
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    " + ], + "text/plain": [ + " glucose insulin\n", + "time \n", + "0 92 11\n", + "2 350 26\n", + "4 287 130\n", + "6 251 85\n", + "8 240 51\n", + "10 216 49\n", + "12 211 45\n", + "14 205 41\n", + "16 196 35\n", + "19 192 30\n", + "22 172 30\n", + "27 163 27\n", + "32 142 30\n", + "42 124 22\n", + "52 105 15\n", + "62 92 15\n", + "72 84 11\n", + "82 77 10\n", + "92 82 8\n", + "102 81 11\n", + "122 82 7\n", + "142 82 8\n", + "162 85 8\n", + "182 90 7" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data = pd.read_csv('glucose_insulin.csv', index_col='time')\n", + "data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here's what the glucose time series looks like." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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PCwvDvHnzAFQt4Wlrawtzc3ON8g4ODsJaz5aWlpDL5bC3t9c6r1Qq1VoGlIiIDK/WxJKV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\n4ccff0Rubi78/f2RmpqqUUa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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(data.glucose, 'bo', label='glucose')\n", + "decorate(xlabel='Time (min)',\n", + " ylabel='Concentration (mg/dL)')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And the insulin time series." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Ur+8+vIuM+xmwtbBVupUGgMWGiJo0jQqNn58f7OzsIJfLsWrVKowZMwY9evRQ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\nNEREpFcsNEREpFf/B5tb3/WsTP1hAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(data.insulin, 'go', label='insulin')\n", + "decorate(xlabel='Time (min)',\n", + " ylabel='Concentration ($\\mu$U/mL)')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For the book, I put them in a single figure, using `subplot`" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure to file chap08-fig01.pdf\n" + ] + }, + { + "data": { + "image/png": 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vhlAohIeHh8YpkYmIiMg0tSgkpKamYujQoVi/fj0sLCy0VRMREREZgRaNSaiq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\nOUyaNEmv/csvv8Tf//53vPzyy3j66aehUCiwc+dOeHt7681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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "subplot(2, 1, 1)\n", + "plot(data.glucose, 'bo', label='glucose')\n", + "decorate(ylabel='mg/dL')\n", + "\n", + "subplot(2, 1, 2)\n", + "plot(data.insulin, 'go', label='insulin')\n", + "decorate(xlabel='Time (min)',\n", + " ylabel='$\\mu$U/mL')\n", + "\n", + "savefig('chap08-fig01.pdf')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Interpolation\n", + "\n", + "We have measurements of insulin concentration at discrete points in time, but we need to estimate it at intervening points. We'll use `interpolate`, which is a wrapper for `scipy.interpolate.interp1d`" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%psource interpolate" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The return value from `interpolate` is a function." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "I = interpolate(data.insulin, kind=\"quadratic\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can use the result, `I`, to estimate the insulin level at any point in time." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array(62.804114412529)" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "I(7)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`I` can also take an array of time and return an array of estimates, which we can plot." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure to file chap08-fig02.pdf\n" + ] + }, + { + "data": { + "image/png": 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RjBo1ih9++IG8vLzyLjXJy8tjz549jBo1qkrB1XYlVTS3Mm9xKvEUR+OOEvZb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\nSVjVBjV69b3o0ffgjv4Obg/cRo++Z8TW1nC6QZ3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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ts = linrange(0, 182, 2)\n", + "\n", + "plot(data.insulin, 'go', label='insulin data')\n", + "plot(ts, I(ts), color='green', label='interpolated')\n", + "\n", + "decorate(xlabel='Time (min)',\n", + " ylabel='Concentration ($\\mu$U/mL)')\n", + "\n", + "savefig('chap08-fig02.pdf')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** [Read the documentation](https://docs.scipy.org/doc/scipy/reference/generated/scipy.interpolate.interp1d.html) of `scipy.interpolate.interp1d`. Pass a keyword argument to `interpolate` to specify one of the other kinds of interpolation, and run the code again to see what it looks like. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### The glucose minimal model\n", + "\n", + "I'll cheat by starting with parameters that fit the data roughly; then we'll see how to improve them." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "k1 = 0.03\n", + "k2 = 0.02\n", + "k3 = 1e-05\n", + "G0 = 290" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To estimate basal levels, we'll use the concentrations at `t=0`." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "Gb = data.glucose[0]\n", + "Ib = data.insulin[0]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In the initial conditions, `X(0)=0` and `G(0)=G0`, where `G0` is one of the parameters we'll choose." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "init = State(G=G0, X=0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here's the system object with all parameters and the interpolation object `I`." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "system = System(init=init, \n", + " k1=k1, k2=k2, k3=k3,\n", + " I=I, Gb=Gb, Ib=Ib,\n", + " t0=0, t_end=182, dt=2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And here's the update function. Using `unpack` to make the system variables accessible without using dot notation, which makes the translation of the differential equations more readable and checkable." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def update_func(state, t, system):\n", + " \"\"\"Updates the glucose minimal model.\n", + " \n", + " state: State object\n", + " t: time in min\n", + " system: System object\n", + " \n", + " returns: State object\n", + " \"\"\"\n", + " G, X = state\n", + " unpack(system)\n", + " \n", + " dGdt = -k1 * (G - Gb) - X*G\n", + " dXdt = k3 * (I(t) - Ib) - k2 * X\n", + " \n", + " G += dGdt * dt\n", + " X += dXdt * dt\n", + "\n", + " return State(G=G, X=X)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Before running the simulation, it is always a good idea to test the update function using the initial conditions. In this case we can veryify that the results are at least qualitatively correct." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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"source": [ + "system.results" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The following plot shows the results of the simulation along with the actual glucose data." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure to file chap08-fig03.pdf\n" + ] + }, + { + "data": { + "image/png": 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K5MmT8fX1NeV1cHBg2bJlREdHM3nyZBwdHenTpw/Tp0+32LWUZOtW1UGzTh24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\n6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5v3m2e4h9UeNq6uri6jfe53b4ICAFKpVNjX3LiIHBETCiKy2HBf/KaeCBn8wt2+fTui\noqIe+n19fX0BGL7Mh3rK42HjMicBeJh9u7q6RC00RI6MCQUR2UxISAgAw6/8oZ7UMEUulwMwdKFE\nRERYNTZLff3119BoNOMuLqLRwjEURGQzMTExCAkJwe9+9zuo1Wqj14d6HPNesbGxkEgk+Pe//z1a\nIY7Y4GOvM2bMsHEkRGODLRREZDMuLi7YtWsX1q9fj+985zvIyMhAQEAAWltbcenSJUyZMuWBa2K4\nu7tjwYIF+PLLL8fdjJSXL19GcHCw2VObE9k7tlAQkU3NmzcPx48fR1RUFI4dO4Zdu3ahqKgIISEh\nyMzMNLn/888/j6tXr+LOnTtjEK15dDodSktLkZGRwVky6ZHBtTyIyK4NDAwgPT0d3/3ud7Fx40Zb\nhwPAsJDa1q1bcebMGTz22GO2DodoTLCFgojsmqurKzZt2oSPPvrIqsuXW+L9999HVlYWkwl6pLCF\ngoiIiCzGFgoiIiKyGBMKIiIishgTCiIiIrIYEwoiIiKyGBMKIiIishgTCiIiIrIYEwoiIiKyGBMK\nIiIistj/Ah9HuT4H5ZzgAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "subplot(2, 1, 1)\n", + "\n", + "plot(system.results.G, 'b-', label='simulation')\n", + "plot(data.glucose, style='bo', label='glucose data')\n", + "decorate(ylabel='mg/dL')\n", + "\n", + "subplot(2, 1, 2)\n", + "\n", + "plot(system.results.X, style='g-', label='remote insulin')\n", + "\n", + "decorate(xlabel='Time (min)', \n", + " ylabel='Arbitrary units')\n", + "\n", + "savefig('chap08-fig03.pdf')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Numerical solution\n", + "\n", + "We can do the same thing using `odeint`. Instead of an update function, we provide a slope function that just evaluates the right-hand side of the differential equations. We don't have to do the update part; `odeint` does it for us." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def slope_func(state, t, system):\n", + " \"\"\"Computes derivatives of the glucose minimal model.\n", + " \n", + " state: State object\n", + " t: time in min\n", + " system: System object\n", + " \n", + " returns: derivatives of G and X\n", + " \"\"\"\n", + " G, X = state\n", + " unpack(system)\n", + " \n", + " dGdt = -k1 * (G - Gb) - X*G\n", + " dXdt = k3 * (I(t) - Ib) - k2 * X\n", + " \n", + " return dGdt, dXdt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can test the slope function with the initial conditions." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(-5.9399999999999995, 0.0)" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "slope_func(init, 0, system)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The `System` object we use with `run_odeint` is almost the same as the one we used with `run_simulation`, but instead of providing `t0`, `t_end`, and `dt`, we provide an array of times where we want to evaluate the solution. In this case, we use `data.index`, so the results are evaluated at the same times as the measurements." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "system2 = System(init=init, \n", + " k1=k1, k2=k2, k3=k3,\n", + " I=I, Gb=Gb, Ib=Ib,\n", + " ts=data.index)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`run_odeint` is a wrapper for `scipy.integrate.odeint`" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%psource run_odeint" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here's how we run it." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 82.2 ms, sys: 1.06 ms, total: 83.3 ms\n", + "Wall time: 80.1 ms\n" + ] + } + ], + "source": [ + "%time run_odeint(system2, slope_func)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And here are the results." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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`run_simulation` and `run_odeint`, we can see that they are not very different." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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    " + ], + "text/plain": [ + " G X\n", + "2 -0.137599 -100.000000\n", + "4 -0.169870 -77.434912\n", + "6 0.130056 -19.505817\n", + "8 0.211674 -4.504691\n", + "10 0.143431 -2.674804\n", + "12 0.056565 -1.472096\n", + "14 -0.051320 -0.482966\n", + "16 -0.178243 0.648509\n", + "22 -0.637911 1.495184\n", + "32 -1.282330 1.246544\n", + "42 -1.682102 2.058923\n", + "52 -1.960815 2.688650\n", + "62 -2.000588 2.243049\n", + "72 -1.869449 2.598662\n", + "82 -1.665704 2.426032\n", + "92 -1.425725 2.657894\n", + "102 -1.159541 1.045825\n", + "122 -0.713099 2.627447\n", + "142 -0.430551 -1.933447\n", + "162 -0.207506 3.583700\n", + "182 -0.091388 0.890527" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "diff = system.results - system2.results\n", + "percent_diff = diff / system2.results * 100\n", + "percent_diff.dropna()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** What happens to these errors if you run the simulation with a smaller value of `dt`?" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "slope_func(init, 0.5, system)\n", + "error_marg = (system.results - system2.results)/system2.results * 100" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Optimization" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now let's find the parameters that yield the best fit for the data." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "k1 = 0.03\n", + "k2 = 0.02\n", + "k3 = 1e-05\n", + "G0 = 100" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Again, we'll get basal levels from the initial values." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "Gb = data.glucose[0]\n", + "Ib = data.insulin[0]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And the slope function is the same." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def slope_func(state, t, system):\n", + " \"\"\"Computes derivatives of the glucose minimal model.\n", + " \n", + " state: State object\n", + " t: time in min\n", + " system: System object\n", + " \n", + " returns: derivatives of G and X\n", + " \"\"\"\n", + " G, X = state\n", + " unpack(system)\n", + " \n", + " dGdt = -k1 * (G - Gb) - X*G\n", + " dXdt = k3 * (I(t) - Ib) - k2 * X\n", + " \n", + " return dGdt, dXdt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`make_system` takes the parameters and `DataFrame` and returns a `System` object." + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def make_system(G0, k1, k2, k3, data):\n", + " \"\"\"Makes a System object with the given parameters.\n", + " \n", + " G0: initial blood glucose\n", + " k1: rate parameter\n", + " k2: rate parameter\n", + " k3: rate parameter\n", + " data: DataFrame\n", + " \n", + " returns: System object\n", + " \"\"\"\n", + " init = State(G=G0, X=0)\n", + " system = System(init=init, \n", + " k1=k1, k2=k2, k3=k3,\n", + " Gb=Gb, Ib=Ib, \n", + " I=interpolate(data.insulin),\n", + " ts=data.index)\n", + " return system" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`error_func` takes the parameters and actual data, makes a `System` object and runs it, then compares the results of the simulation to the data. It returns an array of errors." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def error_func(params, data):\n", + " \"\"\"Computes an array of errors to be minimized.\n", + " \n", + " params: sequence of parameters\n", + " data: DataFrame of values to be matched\n", + " \n", + " returns: array of errors\n", + " \"\"\"\n", + " print(params)\n", + " \n", + " # make a System with the given parameters\n", + " system = make_system(*params, data)\n", + " \n", + " # solve the ODE\n", + " run_odeint(system, slope_func)\n", + " \n", + " # compute the difference between the model\n", + " # results and actual data\n", + " error = system.results.G - data.glucose\n", + " return error.loc[8:]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "When we call `error_func`, we provide a sequence of parameters as a single object." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(100, 0.03, 0.02, 1.0869565217391305e-07)" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "params = G0, k1, k2, k3/Gb\n", + "\n", + "params" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here's how that works:" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(100, 0.03, 0.02, 1.0869565217391305e-07)\n" + ] + }, + { + "data": { + "text/plain": [ + "time\n", + "8 -141.721111\n", + "10 -118.096257\n", + "12 -113.450673\n", + "14 -107.785367\n", + "16 -99.101270\n", + "19 -95.541767\n", + "22 -75.944906\n", + "27 -67.542029\n", + "32 -47.056638\n", + "42 -29.882270\n", + "52 -11.490816\n", + "62 1.065460\n", + "72 8.743863\n", + "82 15.513654\n", + "92 10.350923\n", + "102 11.237444\n", + "122 10.104239\n", + "142 10.047877\n", + "162 7.027780\n", + "182 2.024211\n", + "dtype: float64" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "error_func(params, data)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`fit_leastsq` is a wrapper for `scipy.optimize.leastsq`" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%psource fit_leastsq" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here's how we call it." + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 1.00000000e+02 3.00000000e-02 2.00000000e-02 1.08695652e-07]\n", + "[ 1.00000000e+02 3.00000000e-02 2.00000000e-02 1.08695652e-07]\n", + "[ 1.00000000e+02 3.00000000e-02 2.00000000e-02 1.08695652e-07]\n", + "[ 1.00000001e+02 3.00000000e-02 2.00000000e-02 1.08695652e-07]\n", + "[ 1.00000000e+02 3.00000004e-02 2.00000000e-02 1.08695652e-07]\n", + "[ 1.00000000e+02 3.00000000e-02 2.00000003e-02 1.08695652e-07]\n", + "[ 1.00000000e+02 3.00000000e-02 2.00000000e-02 1.08695654e-07]\n", + "[ 2.75324029e+02 6.23549115e-02 -1.21312641e+00 1.13734118e-05]\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/lib64/python3.6/site-packages/scipy/integrate/odepack.py:218: ODEintWarning: Excess work done on this call (perhaps wrong Dfun type). Run with full_output = 1 to get quantitative information.\n", + " warnings.warn(warning_msg, ODEintWarning)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 1.52107744e+02 -4.97438089e-03 1.48246346e-02 2.92582091e-08]\n", + "[ 1.12455045e+02 2.04331383e-02 1.81329320e-02 7.71347444e-08]\n", + "[ 1.12455046e+02 2.04331383e-02 1.81329320e-02 7.71347444e-08]\n", + "[ 1.12455045e+02 2.04331387e-02 1.81329320e-02 7.71347444e-08]\n", + "[ 1.12455045e+02 2.04331383e-02 1.81329322e-02 7.71347444e-08]\n", + "[ 1.12455045e+02 2.04331383e-02 1.81329320e-02 7.71347455e-08]\n", + "[ 1.33732857e+02 7.03376928e-03 1.63387414e-02 6.53139497e-08]\n", + "[ 1.33732859e+02 7.03376928e-03 1.63387414e-02 6.53139497e-08]\n", + "[ 1.33732857e+02 7.03376939e-03 1.63387414e-02 6.53139497e-08]\n", + "[ 1.33732857e+02 7.03376928e-03 1.63387417e-02 6.53139497e-08]\n", + "[ 1.33732857e+02 7.03376928e-03 1.63387414e-02 6.53139507e-08]\n", + "[ 1.61485213e+02 1.41554704e-02 7.78261260e-03 4.41557018e-07]\n", + "[ 1.61485215e+02 1.41554704e-02 7.78261260e-03 4.41557018e-07]\n", + "[ 1.61485213e+02 1.41554706e-02 7.78261260e-03 4.41557018e-07]\n", + "[ 1.61485213e+02 1.41554704e-02 7.78261272e-03 4.41557018e-07]\n", + "[ 1.61485213e+02 1.41554704e-02 7.78261260e-03 4.41557025e-07]\n", + "[ 1.62019903e+02 1.44575840e-02 7.31778937e-03 4.50215373e-07]\n", + "[ 1.62019906e+02 1.44575840e-02 7.31778937e-03 4.50215373e-07]\n", + "[ 1.62019903e+02 1.44575842e-02 7.31778937e-03 4.50215373e-07]\n", + "[ 1.62019903e+02 1.44575840e-02 7.31778948e-03 4.50215373e-07]\n", + "[ 1.62019903e+02 1.44575840e-02 7.31778937e-03 4.50215380e-07]\n", + "[ 1.62425268e+02 1.38013370e-02 7.31162416e-03 4.47855692e-07]\n", + "[ 1.62425270e+02 1.38013370e-02 7.31162416e-03 4.47855692e-07]\n", + "[ 1.62425268e+02 1.38013372e-02 7.31162416e-03 4.47855692e-07]\n", + "[ 1.62425268e+02 1.38013370e-02 7.31162427e-03 4.47855692e-07]\n", + "[ 1.62425268e+02 1.38013370e-02 7.31162416e-03 4.47855699e-07]\n", + "[ 1.62010871e+02 1.38190384e-02 7.10268106e-03 4.47473007e-07]\n", + "[ 1.62147861e+02 1.38062422e-02 7.30200141e-03 4.47965910e-07]\n", + "[ 1.62312726e+02 1.38061915e-02 7.30931620e-03 4.48003133e-07]\n", + "[ 1.62398774e+02 1.38046303e-02 7.31087330e-03 4.47961153e-07]\n", + "[ 1.62415673e+02 1.38030279e-02 7.31128780e-03 4.47910204e-07]\n", + "[ 1.62421041e+02 1.38021769e-02 7.31146340e-03 4.47882816e-07]\n", + "[ 1.62423120e+02 1.38017842e-02 7.31153975e-03 4.47870142e-07]\n", + "[ 1.62424306e+02 1.38015427e-02 7.31158563e-03 4.47862341e-07]\n", + "[ 1.62424790e+02 1.38014404e-02 7.31160485e-03 4.47859035e-07]\n", + "[ 1.62425031e+02 1.38013886e-02 7.31161455e-03 4.47857359e-07]\n", + "[ 1.62425150e+02 1.38013627e-02 7.31161939e-03 4.47856521e-07]\n", + "[ 1.62425210e+02 1.38013496e-02 7.31162182e-03 4.47856098e-07]\n", + "[ 1.62425240e+02 1.38013431e-02 7.31162302e-03 4.47855890e-07]\n", + "[ 1.62425254e+02 1.38013401e-02 7.31162359e-03 4.47855791e-07]\n", + "[ 1.62425262e+02 1.38013384e-02 7.31162390e-03 4.47855737e-07]\n", + "[ 1.62425265e+02 1.38013376e-02 7.31162406e-03 4.47855710e-07]\n", + "[ 1.62425268e+02 1.38013376e-02 7.31162406e-03 4.47855710e-07]\n", + "[ 1.62425265e+02 1.38013378e-02 7.31162406e-03 4.47855710e-07]\n", + "[ 1.62425265e+02 1.38013376e-02 7.31162417e-03 4.47855710e-07]\n", + "[ 1.62425265e+02 1.38013376e-02 7.31162406e-03 4.47855717e-07]\n", + "[ 1.62425266e+02 1.38013371e-02 7.31162403e-03 4.47855710e-07]\n", + "modsim.py: scipy.optimize.leastsq ran successfully\n", + " and returned the following message:\n", + "The relative error between two consecutive iterates is at most 0.000000\n" + ] + } + ], + "source": [ + "best_params = fit_leastsq(error_func, params, data)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now that we have `best_params`, we can use it to make a `System` object and run it.\n", + "\n", + "We have to use the scatter operator, `*`, to make `best_params` behave like four separate parameters, rather than a single object." + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "system = make_system(*best_params, data)\n", + "run_odeint(system, slope_func)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here are the results, along with the data. The first few points of the model don't fit the data, but we don't expect them to." + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure to file chap08-fig04.pdf\n" + ] + }, + { + "data": { + "image/png": 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Jnj17YvTo0Th27Jhemb1792LkyJHo1q0bXnrpJWzduvWpr1upVCI+Ph6hoaHo06cP1qxZ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\n0WGgqBa2iIgIeHp6gsfjoby8XL28o6MDpqamWLt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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(system.results.G, label='simulation')\n", + "plot(data.glucose, style='bo', label='glucose data')\n", + "\n", + "decorate(xlabel='Time (min)',\n", + " ylabel='Concentration (mg/dL)')\n", + "\n", + "savefig('chap08-fig04.pdf')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** Since we don't expect the first few points to agree, it's probably better not to make them part of the optimization process. We can ignore them by leaving them out of the `Series` returned by `error_func`. Modify the last line of `error_func` to return `errors.loc[8:]`, which includes only the elements of the `Series` from `t=8` and up.\n", + "\n", + "Does that improve the quality of the fit? Does it change the best parameters by much?\n", + "\n", + "Note: You can read more about this use of `loc` [in the Pandas documentation](https://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-integer)." + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# This improved the quality of fit\n", + "\n", + "def error_func(params, data):\n", + " \"\"\"Computes an array of errors to be minimized.\n", + " \n", + " params: sequence of parameters\n", + " data: DataFrame of values to be matched\n", + " \n", + " returns: array of errors\n", + " \"\"\"\n", + " print(params)\n", + " \n", + " # make a System with the given parameters\n", + " system = make_system(*params, data)\n", + " \n", + " # solve the ODE\n", + " run_odeint(system, slope_func)\n", + " \n", + " # compute the difference between the model\n", + " # results and actual data\n", + " error = system.results.G - data.glucose\n", + " return error.loc[8:]\n" + ] + }, + { + "cell_type": "raw", + "metadata": {}, + "source": [ + "**Exercise:** How sensitive are the results to the starting guess for the parameters. If you try different values for the starting guess, do we get the same values for the best parameters?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The different starting value changed simulation drastically." + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(300, 0.03, 0.02, 1e-05)\n" + ] + }, + { + "data": { + "text/plain": [ + "time\n", + "8 12.142067\n", + "10 24.624316\n", + "12 18.622766\n", + "14 14.166727\n", + "16 13.280115\n", + "19 3.556000\n", + "22 11.132109\n", + "27 2.055033\n", + "32 7.882526\n", + "42 2.519303\n", + "52 5.681405\n", + "62 8.395601\n", + "72 9.865296\n", + "82 12.975447\n", + "92 5.885299\n", + "102 5.992065\n", + "122 4.992793\n", + "142 6.436802\n", + "162 5.180873\n", + "182 1.819991\n", + "dtype: float64" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "params = (300, 0.03, 0.02, 1e-5)\n", + "error_func(params, data)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Interpreting parameters\n", + "\n", + "Based on the parameters of the model, we can estimate glucose effectiveness and insulin sensitivity." + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def indices(G0, k1, k2, k3):\n", + " \"\"\"Compute glucose effectiveness and insulin sensitivity.\n", + " \n", + " G0: initial blood glucose\n", + " k1: rate parameter\n", + " k2: rate parameter\n", + " k3: rate parameter\n", + " data: DataFrame\n", + " \n", + " returns: State object containing S_G and S_I\n", + " \"\"\"\n", + " return State(S_G=k1, S_I=k3/k2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here are the results." + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
    \n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
    value
    S_G0.013801
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nuUNHOHfoiE1dtU6HS2AfXAIDcQkKxPn8Y+c+AaicnK65bUKI7qvHh0bxN9/R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\nKY9KTR77zuWxb993KHa50lsTSmyfgfx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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "system.results.plot()\n", + "data.insulin.plot()\n", + "plt.legend(['simulation', 'insulin'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** Write an error function that takes a sequence of parameters as an argument, along with the `DataFrame` containing the measurements. It should make a `System` object with the given parameters, run it, and compute the difference between the results of the simulation and the measured values. Test your error function by calling it with the parameters from the previous exercise.\n", + "\n", + "Hint: As we did in a previous exercise, you might want to drop the errors for times prior to `t=8`." + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def error_func(params, data):\n", + " system = make_system(*params, data)\n", + " run_odeint(system, slope_func)\n", + " error = system.results.I - data.insulin\n", + " return error.loc[8:]" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "ename": "AttributeError", + "evalue": "'TimeFrame' object has no attribute 'I'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0merror_func\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mI0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mk\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgamma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mG_T\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m\u001b[0m in \u001b[0;36merror_func\u001b[0;34m(params, data)\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0msystem\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmake_system\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mparams\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mrun_odeint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msystem\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mslope_func\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0merror\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msystem\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresults\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mI\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minsulin\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0merror\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mloc\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m8\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/usr/lib64/python3.6/site-packages/pandas/core/generic.py\u001b[0m in \u001b[0;36m__getattr__\u001b[0;34m(self, name)\u001b[0m\n\u001b[1;32m 3079\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mname\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_info_axis\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3080\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 3081\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mobject\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__getattribute__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3082\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3083\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__setattr__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mAttributeError\u001b[0m: 'TimeFrame' object has no attribute 'I'" + ] + } + ], + "source": [ + "error_func([I0, k, gamma, G_T], data)" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Solution goes here" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** Use `fit_leastsq` to find the parameters that best fit the data. Make a `System` object with those parameters, run it, and plot the results along with the measurements." + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "ename": "AttributeError", + "evalue": "'TimeFrame' object has no attribute 'I'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mbest\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfit_leastsq\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0merror_func\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mparams\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m/home/concaveusr/project/ModSimPy/code/modsim.py\u001b[0m in \u001b[0;36mfit_leastsq\u001b[0;34m(error_func, params, data, **kwargs)\u001b[0m\n\u001b[1;32m 122\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 123\u001b[0m \u001b[0;31m# run leastsq\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 124\u001b[0;31m \u001b[0mbest_params\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0m_\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0m_\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmesg\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mier\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mleastsq\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0merror_func\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx0\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mparams\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0margs\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 125\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 126\u001b[0m \u001b[0;31m#TODO: check why logging.info is not visible\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/usr/lib64/python3.6/site-packages/scipy/optimize/minpack.py\u001b[0m in \u001b[0;36mleastsq\u001b[0;34m(func, x0, args, Dfun, full_output, col_deriv, ftol, xtol, gtol, maxfev, epsfcn, factor, diag)\u001b[0m\n\u001b[1;32m 375\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtuple\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 376\u001b[0m \u001b[0margs\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 377\u001b[0;31m \u001b[0mshape\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdtype\u001b[0m \u001b[0;34m=\u001b[0m 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args, numinputs,\n\u001b[1;32m 25\u001b[0m output_shape=None):\n\u001b[0;32m---> 26\u001b[0;31m \u001b[0mres\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0matleast_1d\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mthefunc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx0\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0mnuminputs\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0margs\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 27\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0moutput_shape\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mres\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m!=\u001b[0m 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\u001b[0merror\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msystem\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresults\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mI\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minsulin\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0merror\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mloc\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m8\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/usr/lib64/python3.6/site-packages/pandas/core/generic.py\u001b[0m in \u001b[0;36m__getattr__\u001b[0;34m(self, name)\u001b[0m\n\u001b[1;32m 3079\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mname\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_info_axis\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3080\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 3081\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mobject\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__getattribute__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3082\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3083\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__setattr__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mAttributeError\u001b[0m: 'TimeFrame' object has no attribute 'I'" + ] + } + ], + "source": [ + "best = fit_leastsq(error_func, params, data)" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Solution goes here" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Solution goes here" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Solution goes here" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** Using the best parameters, estimate the sensitivity to glucose of the first and second phase pancreatic responsivity:\n", + "\n", + "$ \\phi_1 = \\frac{I_{max} - I_b}{k (G_0 - G_b)} $\n", + "\n", + "$ \\phi_2 = \\gamma \\times 10^4 $" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(495.83333333333337, 200.0)" + ] + }, + "execution_count": 71, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "phi1 = (data.insulin.max() - data.insulin[0]) / k / (G0 - data.glucose[0])\n", + "phi2 = gamma * 1e4\n", + "phi1,phi2" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Solution goes here" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Solution goes here" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Solution goes here" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python3.6", + "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": "3.6.3" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/chap08mine.org b/code/chap08mine.org new file mode 100644 index 00000000..deb08db0 --- /dev/null +++ b/code/chap08mine.org @@ -0,0 +1,87 @@ +#+title: Chapter 8 Notebook + +#+name: pre +#+BEGIN_SRC python + import pandas as pd + import numpy as np + import scipy.interpolate + import matplotlib.pyplot as plt + + + data = pd.read_csv('glucose_insulin.csv', index_col='time') +#+END_SRC + +#+RESULTS: pre +: None + +* Exercise 1 + +#+BEGIN_SRC python :results file :noweb yes :var fname="chap08fig/interp.png" + <
    >
    +
    +  ts = np.arange(2,182,2)
    +  plt.plot(ts, scipy.interpolate.interp1d(data.insulin.index, data.insulin.values, kind='quadratic')(ts))
    +  ax = plt.gca()
    +
    +  ax.figure.savefig(fname)
    +  return(fname)
    +#+END_SRC
    +
    +#+RESULTS:
    +[[file:chap08fig/interp.png]]
    +
    +* Exercise 2
    +What happens to these errors if you run the simulation with a smaller value of dt?
    +
    +* Exercise 3
    +Since we don't expect the first few points to agree, it's probably better not to make them part of the optimization process.
    +We can ignore them by leaving them out of the =Series= returned by =error_func=.
    +Modify the last line of error_func to return errors.loc[8:], which includes only the elements of the Series from =t=8= and up.
    +
    +#+BEGIN_SRC python :noweb yes
    +  <
    >
    +  k1 = 0.03
    +  k2 = 0.02
    +  k3 = 1e-05
    +  G0 = 290
    +  Gb = data.glucose[0]
    +  Ib = data.insulin[0]
    +
    +
    +  def error_func(params, data):
    +      """Computes an array of errors to be minimized.
    +
    +      params: sequence of parameters
    +      data: DataFrame of values to be matched
    +
    +      returns: array of errors
    +      """
    +      print(params)
    +
    +      # make a System with the given parameters
    +      system = make_system(*params, data)
    +
    +      # solve the ODE
    +      run_odeint(system, slope_func)
    +
    +      # compute the difference between the model
    +      # results and actual data
    +      error = system.results.G - data.glucose
    +      return error.loc[8:]
    +
    +
    +  def make_system(G0, k1, k2, k3, data):
    +      init = pd.Series({'G': G0, 'X': 0})
    +      system=  pd.Series({'init': init,
    +                          'k1': k1, 'k2': 'k2', 'k3': k3,
    +                          'Gb': Gb, 'Ib': Ib,
    +                          'I': scipy.interpolate.interp1d(data.insulin),
    +                          'ts': data.index})
    +      return system
    +
    +  params = G0, k1, k2, k3
    +  best_params = scipy.optimize.leastsq(error_func, x0=params, args=(data,))[0]
    +  # system = make_system(*best_params, data)
    +#+END_SRC
    +
    +#+RESULTS:
    
    From 31b70c612d4d45205c173fa0d2b616f0eee1d852 Mon Sep 17 00:00:00 2001
    From: Kawin Nikomborirak 
    Date: Tue, 24 Oct 2017 18:42:34 +0000
    Subject: [PATCH 44/51] updat chap8
    
    ---
     code/chap08mine.ipynb | 1266 +++++++++++++++++++++--------------------
     code/chap08mine.org   |  151 ++++-
     2 files changed, 788 insertions(+), 629 deletions(-)
    
    diff --git a/code/chap08mine.ipynb b/code/chap08mine.ipynb
    index 3bf1d107..cf3d03ab 100644
    --- a/code/chap08mine.ipynb
    +++ b/code/chap08mine.ipynb
    @@ -15,10 +15,8 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 1,
    -   "metadata": {
    -    "collapsed": true
    -   },
    +   "execution_count": 182,
    +   "metadata": {},
        "outputs": [],
        "source": [
         "# If you want the figures to appear in the notebook, \n",
    @@ -50,7 +48,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 2,
    +   "execution_count": 183,
        "metadata": {},
        "outputs": [
         {
    @@ -237,7 +235,7 @@
            "182        90        7"
           ]
          },
    -     "execution_count": 2,
    +     "execution_count": 183,
          "metadata": {},
          "output_type": "execute_result"
         }
    @@ -256,14 +254,14 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 3,
    +   "execution_count": 184,
        "metadata": {},
        "outputs": [
         {
          "data": {
    -      "image/png": 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PCwvDvHnzAFQt4Wlrawtzc3ON8g4ODsJaz5aWlpDL5bC3t9c6r1Qq1VoGlIiIDK/WxJKV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\n4ccff0Rubi78/f2RmpqqUUa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YsAVwBWFywnkNiE9ERBJKlFjM7AjgD0C3qGhPYFq0Kv8F4Fx3vyvBLR9x94ej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\nSKr+P0DZI5Y+uod9AAAAAElFTkSuQmCC\n",
           "text/plain": [
    -       ""
    +       ""
           ]
          },
          "metadata": {},
    @@ -285,14 +283,14 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 4,
    +   "execution_count": 185,
        "metadata": {},
        "outputs": [
         {
          "data": {
    -      "image/png": 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aa69x5mkiIgPQWaHJzc3Fzp07cfr0aSxevLhex3B1dcWVK1dqbSMQCDBjxgzMmDGj1nYe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\nNEREpFcsNEREpFf/B5tb3/WsTP1hAAAAAElFTkSuQmCC\n",
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/mkPN7LPu/nTRoqww+uLunBbnFJFMcUY0lwNvAwe5+yvpB8xsB0ISmgocVnh4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\n1wAAAABJRU5ErkJggg==\n",
           "text/plain": [
    -       ""
    +       ""
           ]
          },
          "metadata": {},
    @@ -314,7 +312,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 5,
    +   "execution_count": 186,
        "metadata": {},
        "outputs": [
         {
    @@ -326,9 +324,9 @@
         },
         {
          "data": {
    -      "image/png": 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vhlAohIeHh8YpkYmIiMg0tSgkpKamYujQoVi/fj0sLCy0VRMREREZgRaNSaiq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\nOUyaNEmv/csvv8Tf//53vPzyy3j66aehUCiwc+dOeHt7681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kIZ4kvOvuT7dynOOAPYFh7v4GgJl9BNxhZhe5+6v5DjwX9fVQVweNjVBdDbW1UFNTikhE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\nmZVykGBmZmalHCSYmZlZKQcJZmZmVur/cjX3hvDyC9UAAAAASUVORK5CYII=\n",
           "text/plain": [
    -       ""
    +       ""
           ]
          },
          "metadata": {},
    @@ -359,7 +357,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 6,
    +   "execution_count": 187,
        "metadata": {
         "collapsed": true
        },
    @@ -377,13 +375,13 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 7,
    +   "execution_count": 188,
        "metadata": {
         "collapsed": true
        },
        "outputs": [],
        "source": [
    -    "I = interpolate(data.insulin, kind=\"quadratic\")"
    +    "I = interpolate(data.insulin)"
        ]
       },
       {
    @@ -395,7 +393,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 8,
    +   "execution_count": 189,
        "metadata": {
         "scrolled": true
        },
    @@ -403,10 +401,10 @@
         {
          "data": {
           "text/plain": [
    -       "array(62.804114412529)"
    +       "array(68.0)"
           ]
          },
    -     "execution_count": 8,
    +     "execution_count": 189,
          "metadata": {},
          "output_type": "execute_result"
         }
    @@ -424,7 +422,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 9,
    +   "execution_count": 190,
        "metadata": {},
        "outputs": [
         {
    @@ -436,9 +434,9 @@
         },
         {
          "data": {
    -      "image/png": 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RjBo1ih9++IG8vLzyLjXJy8tjz549jBo1qkrB1XYlVTS3Mm9xKvEUR+OOEvZb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\nhBCv+j/FGp0rKGHB0gAAAABJRU5ErkJggg==\n",
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siES5VjUIRo0tmojjLRrtOlNKqcBaNH/DWiHgPWA11od3kxGRC4AXgKeB5UAP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\nNAC5yDJnAAAAAElFTkSuQmCC\n",
           "text/plain": [
    -       ""
    +       ""
           ]
          },
          "metadata": {},
    @@ -464,10 +462,47 @@
         "**Exercise:** [Read the documentation](https://docs.scipy.org/doc/scipy/reference/generated/scipy.interpolate.interp1d.html) of `scipy.interpolate.interp1d`.  Pass a keyword argument to `interpolate` to specify one of the other kinds of interpolation, and run the code again to see what it looks like. "
        ]
       },
    +  {
    +   "cell_type": "code",
    +   "execution_count": 235,
    +   "metadata": {},
    +   "outputs": [
    +    {
    +     "name": "stdout",
    +     "output_type": "stream",
    +     "text": [
    +      "Saving figure to file chap08-fig03.pdf\n"
    +     ]
    +    },
    +    {
    +     "data": {
    +      "image/png": 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9bi8E4kUkxrWqQTAabNFE1bVotOtMKaUCa9H8BWuFgHeB1Vgf3q1GRM4Hngee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\nZmZWKScaMzOrlBONmZlV6h/vnzXUTgayJwAAAABJRU5ErkJggg==\n",
    +      "text/plain": [
    +       ""
    +      ]
    +     },
    +     "metadata": {},
    +     "output_type": "display_data"
    +    }
    +   ],
    +   "source": [
    +    "I = interpolate(data.insulin, kind='quadratic')\n",
    +    "\n",
    +    "plot(data.insulin, 'go', label='insulin data')\n",
    +    "plot(ts, I(ts), color='green', label='interpolated')\n",
    +    "\n",
    +    "decorate(xlabel='Time (min)',\n",
    +    "         ylabel='Concentration ($\\mu$U/mL)')\n",
    +    "\n",
    +    "savefig('chap08-fig03.pdf')"
    +   ]
    +  },
       {
        "cell_type": "markdown",
        "metadata": {},
        "source": [
    +    "\n",
    +    "\n",
         "### The glucose minimal model\n",
         "\n",
         "I'll cheat by starting with parameters that fit the data roughly; then we'll see how to improve them."
    @@ -475,7 +510,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 10,
    +   "execution_count": 192,
        "metadata": {
         "collapsed": true
        },
    @@ -496,7 +531,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 11,
    +   "execution_count": 193,
        "metadata": {
         "collapsed": true
        },
    @@ -515,7 +550,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 12,
    +   "execution_count": 194,
        "metadata": {
         "collapsed": true
        },
    @@ -533,7 +568,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 13,
    +   "execution_count": 195,
        "metadata": {
         "collapsed": true
        },
    @@ -554,7 +589,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 14,
    +   "execution_count": 196,
        "metadata": {
         "collapsed": true
        },
    @@ -590,7 +625,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 15,
    +   "execution_count": 197,
        "metadata": {},
        "outputs": [
         {
    @@ -636,7 +671,7 @@
            "dtype: float64"
           ]
          },
    -     "execution_count": 15,
    +     "execution_count": 197,
          "metadata": {},
          "output_type": "execute_result"
         }
    @@ -654,7 +689,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 16,
    +   "execution_count": 198,
        "metadata": {
         "collapsed": true
        },
    @@ -689,15 +724,15 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 17,
    +   "execution_count": 199,
        "metadata": {},
        "outputs": [
         {
          "name": "stdout",
          "output_type": "stream",
          "text": [
    -      "CPU times: user 181 ms, sys: 2.12 ms, total: 183 ms\n",
    -      "Wall time: 180 ms\n"
    +      "CPU times: user 177 ms, sys: 2.99 ms, total: 180 ms\n",
    +      "Wall time: 178 ms\n"
          ]
         }
        ],
    @@ -714,7 +749,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 18,
    +   "execution_count": 200,
        "metadata": {},
        "outputs": [
         {
    @@ -1120,7 +1155,7 @@
            "[92 rows x 2 columns]"
           ]
          },
    -     "execution_count": 18,
    +     "execution_count": 200,
          "metadata": {},
          "output_type": "execute_result"
         }
    @@ -1138,7 +1173,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 19,
    +   "execution_count": 201,
        "metadata": {},
        "outputs": [
         {
    @@ -1150,9 +1185,9 @@
         },
         {
          "data": {
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K5MmT8fX1NeV1cHBg2bJlREdHM3nyZBwdHenTpw/Tp0+32LWUZOtW1UGzTh24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\n27ZtyOM6O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    +      "image/png": 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k5xVduRLmzQtpMUVE5ARS1ouDVbPW7vHuW2u3AXd5NimBhQtzFwsD2LQpdz8l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\nmAGFJElqzIBCkiQ1ZkAhSZIa+wefWQSFLXEnwwAAAABJRU5ErkJggg==\n",
           "text/plain": [
    -       ""
    +       ""
           ]
          },
          "metadata": {},
    @@ -1187,7 +1222,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 20,
    +   "execution_count": 202,
        "metadata": {
         "collapsed": true
        },
    @@ -1220,7 +1255,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 21,
    +   "execution_count": 203,
        "metadata": {},
        "outputs": [
         {
    @@ -1229,7 +1264,7 @@
            "(-5.9399999999999995, 0.0)"
           ]
          },
    -     "execution_count": 21,
    +     "execution_count": 203,
          "metadata": {},
          "output_type": "execute_result"
         }
    @@ -1247,7 +1282,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 22,
    +   "execution_count": 204,
        "metadata": {
         "collapsed": true
        },
    @@ -1268,7 +1303,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 23,
    +   "execution_count": 205,
        "metadata": {
         "collapsed": true
        },
    @@ -1286,15 +1321,15 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 24,
    +   "execution_count": 206,
        "metadata": {},
        "outputs": [
         {
          "name": "stdout",
          "output_type": "stream",
          "text": [
    -      "CPU times: user 82.2 ms, sys: 1.06 ms, total: 83.3 ms\n",
    -      "Wall time: 80.1 ms\n"
    +      "CPU times: user 85.3 ms, sys: 4.04 ms, total: 89.3 ms\n",
    +      "Wall time: 86.8 ms\n"
          ]
         }
        ],
    @@ -1311,7 +1346,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 25,
    +   "execution_count": 207,
        "metadata": {},
        "outputs": [
         {
    @@ -1498,7 +1533,7 @@
            "182    91.759884 -0.000789"
           ]
          },
    -     "execution_count": 25,
    +     "execution_count": 207,
          "metadata": {},
          "output_type": "execute_result"
         }
    @@ -1516,14 +1551,14 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 26,
    +   "execution_count": 208,
        "metadata": {},
        "outputs": [
         {
          "data": {
    -      "image/png": 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UDksAL7zwArNnz2bChAn89Kc/5Z133qG8vJyPP/64o36Fd5g8mah7R7Fw8JfK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\nN2TrlYbZar3Go86GtdaK1dx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eH5uT0rX9+q+2xbE0IiIDSwEgymVf6n5cwapVQZpqj8SxNCIiA0cBIIq5dALFE10zkL/d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\nGkvLZ1OzagfnHPy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    -       ""
    +       ""
           ]
          },
          "metadata": {},
    @@ -1545,8 +1580,10 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 27,
    -   "metadata": {},
    +   "execution_count": 209,
    +   "metadata": {
    +    "scrolled": false
    +   },
        "outputs": [
         {
          "data": {
    @@ -1708,7 +1745,7 @@
            "182 -0.091388    0.890527"
           ]
          },
    -     "execution_count": 27,
    +     "execution_count": 209,
          "metadata": {},
          "output_type": "execute_result"
         }
    @@ -1728,12 +1765,181 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 28,
    +   "execution_count": 210,
        "metadata": {},
    -   "outputs": [],
    +   "outputs": [
    +    {
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system2.results\n", + "percent_diff = diff / system2.results * 100\n", + "percent_diff.dropna()\n", + "# These errors are lower." ] }, { @@ -1752,7 +1958,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 211, "metadata": { "collapsed": true }, @@ -1761,7 +1967,7 @@ "k1 = 0.03\n", "k2 = 0.02\n", "k3 = 1e-05\n", - "G0 = 100" + "G0 = 290" ] }, { @@ -1773,7 +1979,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 212, "metadata": { "collapsed": true }, @@ -1792,7 +1998,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 213, "metadata": { "collapsed": true }, @@ -1825,7 +2031,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 240, "metadata": { "collapsed": true }, @@ -1860,7 +2066,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 241, "metadata": { "collapsed": true }, @@ -1885,7 +2091,7 @@ " # compute the difference between the model\n", " # results and actual data\n", " error = system.results.G - data.glucose\n", - " return error.loc[8:]" + " return error" ] }, { @@ -1897,23 +2103,22 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 242, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "(100, 0.03, 0.02, 1.0869565217391305e-07)" + "(290, 0.026730938543416599, 0.01335158143968368, 1.3226829295046203e-05)" ] }, - "execution_count": 34, + "execution_count": 242, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "params = G0, k1, k2, k3/Gb\n", - "\n", + "params = G0, k1, k2, k3\n", "params" ] }, @@ -1926,44 +2131,48 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 243, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "(100, 0.03, 0.02, 1.0869565217391305e-07)\n" + "(290, 0.026730938543416599, 0.01335158143968368, 1.3226829295046203e-05)\n" ] }, { "data": { "text/plain": [ "time\n", - "8 -141.721111\n", - "10 -118.096257\n", - "12 -113.450673\n", - "14 -107.785367\n", - 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"execution_count": 41, - "metadata": { - "scrolled": false - }, + "execution_count": 245, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[ 1.00000000e+02 3.00000000e-02 2.00000000e-02 1.08695652e-07]\n", - "[ 1.00000000e+02 3.00000000e-02 2.00000000e-02 1.08695652e-07]\n", - "[ 1.00000000e+02 3.00000000e-02 2.00000000e-02 1.08695652e-07]\n", - "[ 1.00000001e+02 3.00000000e-02 2.00000000e-02 1.08695652e-07]\n", - "[ 1.00000000e+02 3.00000004e-02 2.00000000e-02 1.08695652e-07]\n", - "[ 1.00000000e+02 3.00000000e-02 2.00000003e-02 1.08695652e-07]\n", - "[ 1.00000000e+02 3.00000000e-02 2.00000000e-02 1.08695654e-07]\n", - "[ 2.75324029e+02 6.23549115e-02 -1.21312641e+00 1.13734118e-05]\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/usr/lib64/python3.6/site-packages/scipy/integrate/odepack.py:218: ODEintWarning: Excess work done on this call (perhaps wrong Dfun type). Run with full_output = 1 to get quantitative information.\n", - " warnings.warn(warning_msg, ODEintWarning)\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[ 1.52107744e+02 -4.97438089e-03 1.48246346e-02 2.92582091e-08]\n", - "[ 1.12455045e+02 2.04331383e-02 1.81329320e-02 7.71347444e-08]\n", - "[ 1.12455046e+02 2.04331383e-02 1.81329320e-02 7.71347444e-08]\n", - "[ 1.12455045e+02 2.04331387e-02 1.81329320e-02 7.71347444e-08]\n", - "[ 1.12455045e+02 2.04331383e-02 1.81329322e-02 7.71347444e-08]\n", - "[ 1.12455045e+02 2.04331383e-02 1.81329320e-02 7.71347455e-08]\n", - "[ 1.33732857e+02 7.03376928e-03 1.63387414e-02 6.53139497e-08]\n", - "[ 1.33732859e+02 7.03376928e-03 1.63387414e-02 6.53139497e-08]\n", - "[ 1.33732857e+02 7.03376939e-03 1.63387414e-02 6.53139497e-08]\n", - "[ 1.33732857e+02 7.03376928e-03 1.63387417e-02 6.53139497e-08]\n", - "[ 1.33732857e+02 7.03376928e-03 1.63387414e-02 6.53139507e-08]\n", - "[ 1.61485213e+02 1.41554704e-02 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1.34190404e-02 1.32291607e-05]\n", + "[ 2.88415447e+02 2.67567426e-02 1.34190404e-02 1.32291607e-05]\n", + "[ 2.88415447e+02 2.67567422e-02 1.34190406e-02 1.32291607e-05]\n", + "[ 2.88415447e+02 2.67567422e-02 1.34190404e-02 1.32291609e-05]\n", + "[ 2.88406891e+02 2.67550657e-02 1.34189637e-02 1.32307037e-05]\n", + "[ 2.88406895e+02 2.67550657e-02 1.34189637e-02 1.32307037e-05]\n", + "[ 2.88406891e+02 2.67550660e-02 1.34189637e-02 1.32307037e-05]\n", + "[ 2.88406891e+02 2.67550657e-02 1.34189639e-02 1.32307037e-05]\n", + "[ 2.88406891e+02 2.67550657e-02 1.34189637e-02 1.32307039e-05]\n", + "[ 2.88394998e+02 2.67574271e-02 1.34191158e-02 1.32305408e-05]\n", + "[ 2.88395003e+02 2.67574271e-02 1.34191158e-02 1.32305408e-05]\n", + "[ 2.88394998e+02 2.67574275e-02 1.34191158e-02 1.32305408e-05]\n", + "[ 2.88394998e+02 2.67574271e-02 1.34191160e-02 1.32305408e-05]\n", + "[ 2.88394998e+02 2.67574271e-02 1.34191158e-02 1.32305410e-05]\n", + "[ 2.88403826e+02 2.67570088e-02 1.34195499e-02 1.32304127e-05]\n", + "[ 2.88399039e+02 2.67571829e-02 1.34192769e-02 1.32304804e-05]\n", + "[ 2.88396780e+02 2.67573068e-02 1.34191825e-02 1.32305127e-05]\n", + "[ 2.88395842e+02 2.67573674e-02 1.34191467e-02 1.32305271e-05]\n", + "[ 2.88395351e+02 2.67574015e-02 1.34191286e-02 1.32305350e-05]\n", + "[ 2.88395157e+02 2.67574154e-02 1.34191216e-02 1.32305381e-05]\n", + "[ 2.88395070e+02 2.67574218e-02 1.34191184e-02 1.32305396e-05]\n", + "[ 2.88395031e+02 2.67574247e-02 1.34191170e-02 1.32305402e-05]\n", + "[ 2.88395013e+02 2.67574260e-02 1.34191164e-02 1.32305405e-05]\n", "modsim.py: scipy.optimize.leastsq ran successfully\n", " and returned the following message:\n", "The relative error between two consecutive iterates is at most 0.000000\n" @@ -2098,10 +2337,8 @@ }, { "cell_type": "code", - "execution_count": 42, - "metadata": { - "collapsed": true - }, + "execution_count": 246, + "metadata": {}, "outputs": [], "source": [ "system = make_system(*best_params, data)\n", @@ -2117,7 +2354,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 247, "metadata": {}, "outputs": [ { @@ -2129,9 +2366,9 @@ }, { "data": { - "image/png": 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Jnj17YvTo0Th27Jhemb1792LkyJHo1q0bXnrpJWzduvWpr1upVCI+Ph6hoaHo06cP1qxZ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\nUZRYCCGEMIoSCyGEEEb9B6YQOor6XFP9AAAAAElFTkSuQmCC\n", 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2139,9 +2376,6 @@ } ], "source": [ - "plot(system.results.G, label='simulation')\n", - "plot(data.glucose, style='bo', label='glucose data')\n", - "\n", "decorate(xlabel='Time (min)',\n", " ylabel='Concentration (mg/dL)')\n", "\n", @@ -2161,14 +2395,10 @@ }, { "cell_type": "code", - "execution_count": 44, - "metadata": { - "collapsed": true - }, + "execution_count": 248, + "metadata": {}, "outputs": [], "source": [ - "# This improved the quality of fit\n", - "\n", "def error_func(params, data):\n", " \"\"\"Computes an array of errors to be minimized.\n", " \n", @@ -2188,70 +2418,58 @@ " # compute the difference between the model\n", " # results and actual data\n", " error = system.results.G - data.glucose\n", - " return error.loc[8:]\n" - ] - }, - { - "cell_type": "raw", - "metadata": {}, - "source": [ - "**Exercise:** How sensitive are the results to the starting guess for the parameters. If you try different values for the starting guess, do we get the same values for the best parameters?" + " return error.loc[8:]\n", + "\n", + "# The fit is better without" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "The different starting value changed simulation drastically." + "**Exercise:** How sensitive are the results to the starting guess for the parameters. If you try different values for the starting guess, do we get the same values for the best parameters?" ] }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 249, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "(300, 0.03, 0.02, 1e-05)\n" + "(90, 0.03, 0.02, 1e-05)\n", + "time\n", + "8 -150.755637\n", + "10 -127.386945\n", + "12 -123.071252\n", + "14 -117.787609\n", + "16 -109.515216\n", + "19 -106.583617\n", + "22 -87.593075\n", + "27 -80.128353\n", + "32 -60.471399\n", + "42 -44.662951\n", + "52 -26.978262\n", + "62 -14.385637\n", + "72 -6.151731\n", + "82 1.611766\n", + "92 -2.249138\n", + "102 0.121443\n", + "122 1.884066\n", + "142 4.753431\n", + "162 4.255768\n", + "182 1.306500\n", + "dtype: float64\n" ] - }, - { - "data": { - "text/plain": [ - "time\n", - "8 12.142067\n", - "10 24.624316\n", - "12 18.622766\n", - "14 14.166727\n", - "16 13.280115\n", - "19 3.556000\n", - "22 11.132109\n", - "27 2.055033\n", - "32 7.882526\n", - "42 2.519303\n", - "52 5.681405\n", - "62 8.395601\n", - "72 9.865296\n", - "82 12.975447\n", - "92 5.885299\n", - "102 5.992065\n", - "122 4.992793\n", - "142 6.436802\n", - "162 5.180873\n", - "182 1.819991\n", - "dtype: float64" - ] - }, - "execution_count": 45, - "metadata": {}, - "output_type": "execute_result" } ], "source": [ - "params = (300, 0.03, 0.02, 1e-5)\n", - "error_func(params, data)" + "params = (90, 0.03, 0.02, 1e-05)\n", + "print(error_func(params, data))\n", + "\n", + "# The results change by quite a bit" ] }, { @@ -2265,7 +2483,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": null, "metadata": { "collapsed": true }, @@ -2294,57 +2512,9 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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, "text/plain": [ - " G X\n", - "time \n", - "0 300.000000 0.000000\n", - "2 181.559681 -0.399517\n", - "4 110.274225 -0.089609\n", - "6 67.658316 0.719266\n", - "8 40.403608 -0.196977\n", - "10 22.783748 -1.841752\n", - "12 11.500805 -3.435316\n", - "14 3.910304 -5.148911\n", - "16 -1.646252 -7.140944\n", - "19 -7.926140 -10.521649\n", - "22 -12.475645 -13.701676\n", - "27 -18.377087 -18.728351\n", - "32 -22.789700 -22.890339\n", - "42 -33.656053 -33.664314\n", - "52 -47.941843 -47.942521\n", - "62 -60.157622 -60.157678\n", - "72 -73.533746 -73.533751\n", - "82 -86.793755 -86.793755\n", - "92 -100.332071 -100.332071\n", - "102 -109.778723 -109.778723\n", - "122 -136.383598 -136.383598\n", - "142 -159.392637 -159.392637\n", - "162 -182.018808 -182.018808\n", - "182 -207.350539 -207.350539" + "" ] }, - "execution_count": 53, "metadata": {}, - "output_type": "execute_result" + "output_type": "display_data" } ], "source": [ - "run_odeint(system, slope_func)\n", - "system.results" + "run_odeint(system, slope)\n", + "print(system.results)\n", + "plot(system.results, 'r-', label='model')\n", + "plot(data.insulin, 'bo-', label='insulin')\n", + "\n", + "decorate(xlabel='Time (min)',\n", + " ylabel='Concentration')\n" ] }, { "cell_type": "markdown", "metadata": {}, - "source": [] + "source": [ + "**Exercise:** Write an error function that takes a sequence of parameters as an argument, along with the `DataFrame` containing the measurements. It should make a `System` object with the given parameters, run it, and compute the difference between the results of the simulation and the measured values. Test your error function by calling it with the parameters from the previous exercise.\n", + "\n", + "Hint: As we did in a previous exercise, you might want to drop the errors for times prior to `t=8`." + ] }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 257, "metadata": { - "scrolled": true + "collapsed": true }, + "outputs": [], + "source": [ + "# Solution goes here\n", + "def error_func(params, data):\n", + " system = make_system(*params, data)\n", + " run_odeint(system, slope)\n", + " \n", + " return (system.results.I - data.insulin)[8:]" + ] + }, + { + "cell_type": "code", + "execution_count": 258, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "time\n", + "16 -3.593411\n", + "19 1.811071\n", + "22 2.581632\n", + "27 7.014287\n", + "32 3.758216\n", + "42 8.932902\n", + "52 9.554216\n", + "62 0.767804\n", + "72 -3.217947\n", + "82 -10.382598\n", + "92 -7.401702\n", + "102 -9.056569\n", + "122 -3.584244\n", + "142 -3.586427\n", + "162 3.170251\n", + "182 18.702699\n", + "dtype: float64" ] }, - "execution_count": 54, + "execution_count": 258, "metadata": {}, "output_type": "execute_result" - }, - { - "data": { - "image/png": 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nuUNHOHfoiE1dtU6HS2AfXAIDcQkKxPn8Y+c+AaicnK65bUKI7qvHh0bxN9/R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\n4fh6eNi34UJ0ARIawqG5Ojl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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" } ], "source": [ - "system.results.plot()\n", - "data.insulin.plot()\n", - "plt.legend(['simulation', 'insulin'])" + "# Solution goes here\n", + "params = [I0, k, gamma, G_T]\n", + "error_func(params, data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "**Exercise:** Write an error function that takes a sequence of parameters as an argument, along with the `DataFrame` containing the measurements. It should make a `System` object with the given parameters, run it, and compute the difference between the results of the simulation and the measured values. Test your error function by calling it with the parameters from the previous exercise.\n", - "\n", - "Hint: As we did in a previous exercise, you might want to drop the errors for times prior to `t=8`." + "**Exercise:** Use `fit_leastsq` to find the parameters that best fit the data. Make a `System` object with those parameters, run it, and plot the results along with the measurements." ] }, { "cell_type": "code", - "execution_count": 55, - "metadata": { - "collapsed": true - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ - "def error_func(params, data):\n", - " system = make_system(*params, data)\n", - " run_odeint(system, slope_func)\n", - " error = system.results.I - data.insulin\n", - " return error.loc[8:]" + "# Solution goes here\n", + "params = fit_leastsq(error_func, params, data)\n", + "system = make_system(*params, data)\n", + "run_odeint(system, slope)\n", + "plot(system.results, 'r-', label='model')\n", + "plot(data.insulin, 'bo-', label='data')\n", + "\n", + "decorate(xlabel='Time (min)',\n", + " ylabel='Concentration')\n" ] }, { - "cell_type": "code", - "execution_count": 56, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "ename": "AttributeError", - "evalue": "'TimeFrame' object has no attribute 'I'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0merror_func\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mI0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mk\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgamma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mG_T\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;32m\u001b[0m in \u001b[0;36merror_func\u001b[0;34m(params, data)\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0msystem\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmake_system\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mparams\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mrun_odeint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msystem\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mslope_func\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0merror\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msystem\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresults\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mI\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minsulin\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0merror\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mloc\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m8\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/usr/lib64/python3.6/site-packages/pandas/core/generic.py\u001b[0m in \u001b[0;36m__getattr__\u001b[0;34m(self, name)\u001b[0m\n\u001b[1;32m 3079\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mname\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_info_axis\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3080\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 3081\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mobject\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__getattribute__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3082\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3083\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__setattr__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mAttributeError\u001b[0m: 'TimeFrame' object has no attribute 'I'" - ] - } - ], "source": [ - "error_func([I0, k, gamma, G_T], data)" + "**Exercise:** Using the best parameters, estimate the sensitivity to glucose of the first and second phase pancreatic responsivity:\n", + "\n", + "$ \\phi_1 = \\frac{I_{max} - I_b}{k (G_0 - G_b)} $\n", + "\n", + "$ \\phi_2 = \\gamma \\times 10^4 $" ] }, { "cell_type": "code", - "execution_count": 60, - "metadata": { - "collapsed": true - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ - "# Solution goes here" + "phi1 = (data.insulin.max() - data.insulin[0])/(system.k*(data.glucose.max() - data.glucose[0]))\n", + "print(phi1)" ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": null, "metadata": {}, + "outputs": [], "source": [ - "**Exercise:** Use `fit_leastsq` to find the parameters that best fit the data. Make a `System` object with those parameters, run it, and plot the results along with the measurements." + "phi2 = gamma * 10e4\n", + "print(phi2# Solution goes here\n", + "second_phase = gamma * 10000\n", + "second_phase)" ] }, { "cell_type": "code", - "execution_count": 61, - "metadata": {}, - "outputs": [ - { - "ename": "AttributeError", - "evalue": "'TimeFrame' object has no attribute 'I'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mbest\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfit_leastsq\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0merror_func\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mparams\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;32m/home/concaveusr/project/ModSimPy/code/modsim.py\u001b[0m in \u001b[0;36mfit_leastsq\u001b[0;34m(error_func, params, data, **kwargs)\u001b[0m\n\u001b[1;32m 122\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 123\u001b[0m \u001b[0;31m# run leastsq\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 124\u001b[0;31m \u001b[0mbest_params\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0m_\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0m_\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmesg\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mier\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mleastsq\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0merror_func\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx0\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mparams\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0margs\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 125\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 126\u001b[0m \u001b[0;31m#TODO: check why logging.info is not visible\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - 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"\u001b[0;32m/usr/lib64/python3.6/site-packages/pandas/core/generic.py\u001b[0m in \u001b[0;36m__getattr__\u001b[0;34m(self, name)\u001b[0m\n\u001b[1;32m 3079\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mname\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_info_axis\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3080\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 3081\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mobject\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__getattribute__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3082\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3083\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__setattr__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mAttributeError\u001b[0m: 'TimeFrame' object has no attribute 'I'" - ] - } - ], - "source": [ - "best = fit_leastsq(error_func, params, data)" - ] + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] }, { "cell_type": "code", - "execution_count": 62, + "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], - "source": [ - "# Solution goes here" - ] + "source": [] }, { "cell_type": "code", - "execution_count": 63, + "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], - "source": [ - "# Solution goes here" - ] + "source": [] }, { "cell_type": "code", - "execution_count": 64, + "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], - "source": [ - "# Solution goes here" - ] + "source": [] }, { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Exercise:** Using the best parameters, estimate the sensitivity to glucose of the first and second phase pancreatic responsivity:\n", - "\n", - "$ \\phi_1 = \\frac{I_{max} - I_b}{k (G_0 - G_b)} $\n", - "\n", - "$ \\phi_2 = \\gamma \\times 10^4 $" - ] + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] }, { "cell_type": "code", - "execution_count": 71, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(495.83333333333337, 200.0)" - ] - }, - "execution_count": 71, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "phi1 = (data.insulin.max() - data.insulin[0]) / k / (G0 - data.glucose[0])\n", - "phi2 = gamma * 1e4\n", - "phi1,phi2" - ] + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] }, { "cell_type": "code", - "execution_count": 66, + "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], - "source": [ - "# Solution goes here" - ] + "source": [] }, { "cell_type": "code", - "execution_count": 57, + "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], - "source": [ - "# Solution goes here" - ] + "source": [] }, { "cell_type": "code", - "execution_count": 58, + "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], - "source": [ - "# Solution goes here" - ] + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] }, { "cell_type": "code", diff --git a/code/chap08mine.org b/code/chap08mine.org index deb08db0..2e03693d 100644 --- a/code/chap08mine.org +++ b/code/chap08mine.org @@ -9,6 +9,19 @@ data = pd.read_csv('glucose_insulin.csv', index_col='time') + k1 = 0.03 + k2 = 0.02 + k3 = 1e-05 + G0 = 290 + I = scipy.interpolate.interp1d(data.insulin.index, data.insulin.values) + Gb = data.glucose[0] + Ib = data.insulin[0] + + init = pd.Series({'G': G0, 'X': 0}) + + def slope_func(state, t, system): + G, X = state + return -system.k1 * (G - system.Gb) - X * G, system.k3 * (system.I(t) - system.Ib) - system.k2 * X #+END_SRC #+RESULTS: pre @@ -16,10 +29,10 @@ * Exercise 1 -#+BEGIN_SRC python :results file :noweb yes :var fname="chap08fig/interp.png" +#+BEGIN_SRC python :results file :noweb yes :var fname="chap08fig/interp.png" :exports both <
    >
     
    -  ts = np.arange(2,182,2)
    +  ts = np.float64(np.arange(2,182,2))
       plt.plot(ts, scipy.interpolate.interp1d(data.insulin.index, data.insulin.values, kind='quadratic')(ts))
       ax = plt.gca()
     
    @@ -33,6 +46,115 @@
     * Exercise 2
     What happens to these errors if you run the simulation with a smaller value of dt?
     
    +#+BEGIN_SRC python :noweb yes :results output :exports both
    +  <
    >
    +
    +  system = pd.Series({'init': init, 'k1': k1, 'k2': k2, 'k3': k3,
    +                      'I': I, 'Gb': Gb, 'Ib': Ib, 't0': 0, 't_end': 182, 'dt': 0.5})
    +
    +
    +  def update_func(state, t, system):
    +      G, X = state
    +      dGdt = -system.k1 * (G - system.Gb) - X * G
    +      dXdt = system.k3 * (I(t) - system.Ib) - system.k2 * X
    +      G += dGdt * system['dt']
    +      X += dXdt * system['dt']
    +      return pd.Series({'G': G, 'X': X})
    +
    +
    +  def run_simulation(system, update_func):
    +      frame = pd.DataFrame(columns=system.init.index, dtype=np.float64)
    +      frame.loc[system.t0] = system.init
    +      ts = np.float64(np.arange(system.t0, system.t_end - system['dt'], system['dt']))
    +      for t in ts:
    +          frame.loc[t + system['dt']] = update_func(frame.loc[t], t, system)
    +      system.results = frame
    +
    +  run_simulation(system, update_func)
    +
    +
    +  system2 = pd.Series({'init': init, 'k1': k1, 'k2': k2,
    +                       'k3': k3, 'I': I, 'Gb': Gb, 'Ib': Ib, 'ts': data.index})
    +
    +
    +  system2.results = pd.DataFrame(scipy.integrate.odeint(slope_func, list(
    +      system2.init), system2.ts[:-1], (system,)), columns=system.init.index, index=system2.ts[:-1], dtype=np.float64)
    +
    +  diff = system.results - system2.results
    +  percent_diff = (diff / system2.results * 100).dropna()
    +  print(system.results)
    +#+END_SRC
    +
    +#+RESULTS:
    +#+begin_example
    +                G         X
    +0.0    290.000000  0.000000
    +0.5    287.030000  0.000000
    +1.0    284.104550  0.000019
    +1.5    281.220318  0.000056
    +2.0    278.374131  0.000112
    +2.5    275.562964  0.000186
    +3.0    272.783943  0.000389
    +3.5    270.019157  0.000720
    +4.0    267.251678  0.001178
    +4.5    264.465533  0.001761
    +5.0    261.645699  0.002282
    +5.5    258.802469  0.002742
    +6.0    255.945648  0.003141
    +6.5    253.084556  0.003479
    +7.0    250.228026  0.003772
    +7.5    247.382692  0.004019
    +8.0    244.554818  0.004221
    +8.5    241.750306  0.004379
    +9.0    238.974710  0.004533
    +9.5    236.228458  0.004683
    +10.0   233.511947  0.004828
    +10.5   230.825535  0.004970
    +11.0   228.169549  0.005105
    +11.5   225.544567  0.005234
    +12.0   222.951119  0.005357
    +12.5   220.389687  0.005473
    +13.0   217.860707  0.005584
    +13.5   215.364571  0.005688
    +14.0   212.901630  0.005786
    +14.5   210.472191  0.005878
    +...           ...       ...
    +167.0   90.529022 -0.000459
    +167.5   90.571856 -0.000470
    +168.0   90.614585 -0.000482
    +168.5   90.657211 -0.000494
    +169.0   90.699738 -0.000506
    +169.5   90.742168 -0.000517
    +170.0   90.784502 -0.000529
    +170.5   90.826744 -0.000541
    +171.0   90.868895 -0.000552
    +171.5   90.910958 -0.000564
    +172.0   90.952934 -0.000576
    +172.5   90.994826 -0.000588
    +173.0   91.036636 -0.000599
    +173.5   91.078366 -0.000611
    +174.0   91.120018 -0.000623
    +174.5   91.161594 -0.000635
    +175.0   91.203096 -0.000646
    +175.5   91.244525 -0.000658
    +176.0   91.285884 -0.000670
    +176.5   91.327175 -0.000682
    +177.0   91.368399 -0.000694
    +177.5   91.409558 -0.000705
    +178.0   91.450654 -0.000717
    +178.5   91.491688 -0.000729
    +179.0   91.532663 -0.000741
    +179.5   91.573580 -0.000753
    +180.0   91.614440 -0.000765
    +180.5   91.655246 -0.000776
    +181.0   91.695998 -0.000788
    +181.5   91.736699 -0.000800
    +
    +[364 rows x 2 columns]
    +#+end_example
    +
    +The errors get smaller.
    +
     * Exercise 3
     Since we don't expect the first few points to agree, it's probably better not to make them part of the optimization process.
     We can ignore them by leaving them out of the =Series= returned by =error_func=.
    @@ -40,32 +162,11 @@ Modify the last line of error_func to return errors.loc[8:], which includes only
     
     #+BEGIN_SRC python :noweb yes
       <
    >
    -  k1 = 0.03
    -  k2 = 0.02
    -  k3 = 1e-05
    -  G0 = 290
    -  Gb = data.glucose[0]
    -  Ib = data.insulin[0]
    -
     
       def error_func(params, data):
    -      """Computes an array of errors to be minimized.
    -
    -      params: sequence of parameters
    -      data: DataFrame of values to be matched
    -
    -      returns: array of errors
    -      """
           print(params)
    -
    -      # make a System with the given parameters
           system = make_system(*params, data)
    -
    -      # solve the ODE
    -      run_odeint(system, slope_func)
    -
    -      # compute the difference between the model
    -      # results and actual data
    +      system.results = pd.DataFrame(scipy.integrate.odeint(slope_func, list(system.init), system.ts, (system,)), columns = system.init.index,index = system.ts)
           error = system.results.G - data.glucose
           return error.loc[8:]
     
    @@ -75,7 +176,7 @@ Modify the last line of error_func to return errors.loc[8:], which includes only
           system=  pd.Series({'init': init,
                               'k1': k1, 'k2': 'k2', 'k3': k3,
                               'Gb': Gb, 'Ib': Ib,
    -                          'I': scipy.interpolate.interp1d(data.insulin),
    +                          'I': scipy.interpolate.interp1d(data.insulin.index, data.insulin.values),
                               'ts': data.index})
           return system
     
    
    From 8545ddfde33255837a48b19036946425eaa4e036 Mon Sep 17 00:00:00 2001
    From: Kawin Nikomborirak 
    Date: Wed, 25 Oct 2017 20:19:34 +0000
    Subject: [PATCH 45/51] update my exercise 2
    
    ---
     code/chap08-fig01.pdf | Bin 14131 -> 14131 bytes
     code/chap08-fig02.pdf | Bin 16030 -> 15893 bytes
     code/chap08-fig03.pdf | Bin 15414 -> 15414 bytes
     code/chap08mine.ipynb | 405 ++++++++++++++++++------------------------
     code/chap08mine.org   |   2 +-
     5 files changed, 178 insertions(+), 229 deletions(-)
    
    diff --git a/code/chap08-fig01.pdf b/code/chap08-fig01.pdf
    index e0db06066385f7abaf769e67cff4750b0b3a71e0..6fbb38efca80aaeaf91d23052c0219e7366a400c 100644
    GIT binary patch
    delta 20
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    delta 20
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    diff --git a/code/chap08-fig02.pdf b/code/chap08-fig02.pdf
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    diff --git a/code/chap08-fig03.pdf b/code/chap08-fig03.pdf
    index 4694525b56e26b6611a11a74389b00684b9514c4..d1675a9bdb791a08098dfee3469d09dbcfc0a6dc 100644
    GIT binary patch
    delta 20
    bcmdm1v8`f5pER_F&|
    
    delta 20
    bcmdm1v8`f5pETd4<_lQ>R`3U6
    
    diff --git a/code/chap08mine.ipynb b/code/chap08mine.ipynb
    index cf3d03ab..7ab9685d 100644
    --- a/code/chap08mine.ipynb
    +++ b/code/chap08mine.ipynb
    @@ -15,8 +15,10 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 182,
    -   "metadata": {},
    +   "execution_count": 2,
    +   "metadata": {
    +    "collapsed": true
    +   },
        "outputs": [],
        "source": [
         "# If you want the figures to appear in the notebook, \n",
    @@ -48,7 +50,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 183,
    +   "execution_count": 3,
        "metadata": {},
        "outputs": [
         {
    @@ -235,7 +237,7 @@
            "182        90        7"
           ]
          },
    -     "execution_count": 183,
    +     "execution_count": 3,
          "metadata": {},
          "output_type": "execute_result"
         }
    @@ -254,14 +256,14 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 184,
    +   "execution_count": 4,
        "metadata": {},
        "outputs": [
         {
          "data": {
    -      "image/png": 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88kl69uxZ7HBERMrCvHnzGDJkCEAfd58Tv1Zwi6WA81lqgK+A94FXEsZYNqqqYPJkWLgQ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\ne5GjVRB18V1N2PDz/Oj9XwS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PCwvDvHnzAFQt4Wlrawtzc3ON8g4ODsJaz5aWlpDL5bC3t9c6r1Qq1VoGlIiIDK/WxJKV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\nLwAAAABJRU5ErkJggg==\n",
           "text/plain": [
    -       ""
    +       ""
           ]
          },
          "metadata": {},
    @@ -283,14 +285,14 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 185,
    +   "execution_count": 5,
        "metadata": {},
        "outputs": [
         {
          "data": {
    -      "image/png": 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aa69x5mkiIgPQWaHJzc3Fzp07cfr0aSxevLhex3B1dcWVK1dqbSMQCDBjxgzMmDGj1nYe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\nNEREpFcsNEREpFf/B5tb3/WsTP1hAAAAAElFTkSuQmCC\n",
           "text/plain": [
    -       ""
    +       ""
           ]
          },
          "metadata": {},
    @@ -312,7 +314,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 186,
    +   "execution_count": 6,
        "metadata": {},
        "outputs": [
         {
    @@ -324,9 +326,9 @@
         },
         {
          "data": {
    -      "image/png": 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kIZ4kvOvuT7dynOOAPYFh7v4GgJl9BNxhZhe5+6v5DjwX9fVQVweNjVBdDbW1UFNTikhE\nRERyVxZjErIShIwXgAHtPFQtUJ9JECL3E1oWxm5leB1SXw8zZkBDA2zYEP7OmBHKRUREyllZJAlb\nMAKYn1V2uJmtiW6zzGy/rO17APPiBe6+Dngt2lZ0dXXJ5TNnFjcOERGR9irLJMHMxgDHAJfHiucA\nZwBHAD8ChgBzzWzXWJ0+wIqEQzZF24qusTG5fMmS4sYhIiLSXuUyJmGj6Ev/NuABd78pU+7uv4xV\nm2tmswmtBmdGt7JUXR26GLINaG9HioiISJGVVUuCme0I1AFvAie1VtfdlwJ/B4bHipsIUyiz9Ym2\nFV1tbXL52JKMkBAREcldQZMEM/u6md2VY90q4C9AN+ArOa5r0BzdMuaRNfbAzLoBu5E1VqFYampg\n/HgYNAi22Sb8HT9esxtERKT8Fbq7YU/g2LYqmdm2wN3Ap4GD3f3tHPbpDxwK/DFWXAecaGa7uPub\nUdlXge5AyYYK1tS0TArq62HKFE2JFBGR8lYuYxJ+T1hA6Qygr5n1jW17ATDgEkIi8SZh0OL5wAbg\nt7G69wA/B+4zs8mErocrgdtKtUZCtsyUyIzMlEhQoiAiIuWlXJKEw6O/VyVsGwosB7oQEoW+wCrg\nceAYd1+UqejuH5nZWMKyzHexaVnmcwsWeTu1NiVSSYKIiJSTskgS3H3XHKodmeOxFhOmT5YlTYkU\nEZG0KKvZDZ1BdXVyuaZEiohIuWl3S4KZPd+O6v3be/xKV1vbckxChqZEiohIudma7oaVtJx22Jr3\nCJd9lkhm3MHMmaGLYcCAkCBoPIKIiJSbdicJ7j6qAHF0KtlTIkVERMqRxiSIiIhIona1JJjZkK15\nkPg0RREREUmH9nY3LCT38QhxXbdiHxERESmh9iYJ/03LJGEbwiqJuwC3smmQ4h7AiYSk4ncdC1FE\nRERKoV1JQvzSzQBm9nNge2CYuy/P2nYh8ASaBikiIpJKHR24eArwh+wEAcDd/wNcD0zo4GOIiIhI\nCXQ0SegLVLWyvUdUR0RERFKmo0nC08AZZvbZ7A1mtj9wOvBMBx9DRERESqCjF3iaSLga43Nm9ncg\ncznmTwOHAE3ATzr4GCIiIlICHUoS3P1lM9sXOA+oBb4QbXqTMKvhN+6+tGMhdg719eEy0o2N4SJQ\ntbValVFEREpray7w1NPdV2Xuu/sy4KzoJluhvr7lRZ8aGjbdV6IgIiKlsjVjEpab2WNmdq6Z7Z33\niDqhurrk8pkzixuHiIhI3NZ0N5xE6Fo4C5hqZm8BdcBfgUfcfW0e4+sUGhuTy198EaZMUReEiIiU\nxtZcBfJu4G4AMzsAOJKQNPwQ+MjM/j/gIeAhd391iweSjaqrQxdD3Ntvw+LFsNNO4b66IEREpNg6\nNAXS3Z9z94vd/WCgHzAe+A9wATDPzOab2VVmdriZdc9DvBWptnbzsrfegsGDNy9XF4SIiBRLR6dA\nbuTu7xKu33CrmXUBDiK0MBwJnAZMiW6SJdMyMHMmLFkCAwbAO+9sakWIW7KkuLGJiEjnlbckIc7d\nm4GnotsvzOxTQO9CPFalqKlp2Y0wZcrmXRAQEggREZFi6FCSYGZD2qjSDHwAvB1NlZQc1da2nBYJ\nYZwCwIQJGsgoIiKF19GWhIW0vHT0lnxgZnOBi93979kbzex44DvAAYQWBwcuc/fbs+r9EPgpMBj4\nN/BTd38kq85A4GrgS8CHwB1RvTXte2qlld0F0dwMXbqEsg0bNJBRREQKr6PXbjgZeImw/PLVwJnR\n7Zqo7EXgDMLVID8PPGpmoxKOMwlYTZhW+VXgMeA2M9u4pLOZfQuYDvy/hLEO/wb+Ymb7xOpsB8wC\ndgFOiB77eOAPHXyeJVFTA5Mnw7XXhm6GnXfevI4GMoqISKF0tCVhANANGObuK+IbzOxC4Amgh7uf\naWYXA88BvyRc7yHuaHd/J3b/UTMbQEgepkVlFwI3u/vF0fHnAJ8jLAn97ajOccCeUTxvRPU+Au4w\ns4vSPCVzS2spaCCjiIgUSkdbEk4BZmQnCLBxtsMMwkWgcPflwB8JLQrZdd/JLgNeICQhmNluwGeA\nu2L7bCCs1xCfQFgL1GcShMj9wDpgbHueWLmprk4u10BGEREplI4mCX2Bqla2VwHxRvJGoEuOxx4B\nzI/+vUf0d15WnVeAHc1s51i9FnXcfR3wWuwYqZS0lgLA2FSnPiIiUs462t1QD5xuZn9295fjG6Lr\nOvwE+EeseE8gYWJfS2Y2BjgG+O+oqE/0N7vFoim2/T/R381aNaJ6fRLKUyNpLYVMgqClm0VEpBA6\nmiT8hDDI8KVo9sKCqHwYcBiwEjgdwMy2J8w4uK+1A5rZrsBtwAPuflMH46so2Wsp6OqRIiJSSB1K\nEtz9JTPblzB48AhCFwHAm8Dvgd+4++Ko7gfAfq0dz8x2JFws6k3ChaQyMi0GvWnZUtAna3sTyYs2\n9QH+mcNTSpXWrh6pJEFERDqqwysuuvsSotaCjjCzKuAvhNkSX8la1yAzzmAPQgJB7P677v6fWL0W\nYw/MrBuwG2H6ZEVpa8ZDfX1IJNQVISIiW6PDSUK06uJ3gKGEX+zZAxOb3f3YNo6xLWGmwqeBg939\n7fh2d3/dzOYT1jyYFe2zTXQ//nu6DjjRzHZx90wy8VWgO1BxKwokXT0SwngFdUWIiEhHdXRZ5pOA\nG6PjrADeS6iWy4qMvydcCOoMoK+Z9Y1te8HdPySsk3CLmS0E/g58j5BUnBirew/wc+A+M5tM6Hq4\nErgtzWskbEnS0s0QBjSqK0JERDqqoy0J/0OYhni8u89vq3IrDo/+XpWwbSiw0N1vN7MdgP8DTCas\nuPgVd/9XpqK7f2RmYwmrP97FpmWZz+1AbGVrSzMeamrgj39M3keLL4mISK46miT0BaZ2MEHA3XfN\nsd71hCWeW6uzmDB9slPInvGQ0VpXhIiISC46upjS34Hd8xGI5JcWXxIRkY7KxzoJs8zsX8Cf3H19\nHmKSPGitK0JERCQXHV0nYb6ZXUK4RsN1ZrYUyE4Umt1drQ0lsKWuCBERkVx0dHbDT4FLCDMb/kny\n7AYRERFJoY52N0wCZgNfjaYpioiISIXo6MDFHsB9ShBEREQqT0eThDrgkHwEIiIiIuWlo90NPwfu\nMbPfATcAi9h84CLuvrKDjyMiIiJF1tEkIbPU8WeB01qp17WDjyMiIiJF1tEkYQq5XZtByoyuECki\nIm3p6DoJF+YpDikiXSFSRERy0dGBi5JCrV0hUkREJENJQifU2JhcritEiohInJKETqi6OrlcV4gU\nEZE4JQmdkK4QKSIiuejo7AZJoa25QqRmQ4iIdD5KEjqp9lwhUrMhREQ6J3U3SJs0G0JEpHNSkiBt\n0mwIEZHOSUmCtEmzIUREOiclCdImzYYQEemcymbgopkNA84FRgB7A3PdfVRWnYXALlm7LnP3/ln1\n9gKmRcdaAcwALnL3za5QKW3bmtkQIiKSfmWTJBASgyOBp4HtWql3GyEByFgX32hmfYDZwMvAOGB3\n4HJCq8kFeYy3U2nPbAgREakM5ZQkPOjuDwCY2T3ATluo1+juT7dynFOAHsDX3X0l8LCZ9QIuNLPf\nRGUiIiLShrIZk+DuG/J0qFpgVlYycAchcRiZp8cQERGpeGWTJLTDyWa2zszeM7N7zCx7jMIewLx4\ngbsvAtZE20RERCQHaUsSHgBOBcawaZDjXDPrHavThzBYMVtTtE1ERERyUE5jEtrk7mfE7s41syeB\nF4EfAL8tTVQiIiKVKW0tCS24+78AB4bHipuA3gnV+0TbREREJAepThIizdEtYx5ZYw/MbDBQRdZY\nBREREdmyVHU3ZDOzfQgJwR9ixXXAuWbW091XRWXfBNYCc4ocYqelS0uLiKRf2SQJZlZFWEwJYCDQ\ny8yOi+4/BHwR+DbwF2AJITm4AFgE3BQ71HTgdOA+M7sU2A24ELhCayQUhy4tLSJSGcomSQD6AXdn\nlWXuDwXeiur8FvgksByYCfws/uXv7k1mNga4GniQMNPhSkKiIEXQ2qWllSSIiKRH2SQJ7r4Q6NJG\ntTE5HutlYHRHY5Kto0tLi4hUhkoYuChlRpeWFhGpDEoSJO90aWkRkcpQNt0NUjl0aWkRkcqgJEEK\nQpeWFhFJP3U3iIiISCIlCSIiIpJISYKIiIgkUpIgIiIiiTRwUVJH14UQESkOJQmSKrouhIhI8ai7\nQVKltetCiIhIfilJkFTRdSFERIpHSYKkiq4LISJSPEoSJFV0XQgRkeLRwEVJFV0XQkSkeJQkSOro\nuhAiIsWh7gYRERFJpCRBREREEilJEBERkURKEkRERCSRkgQRERFJpNkNIll0ASkRkaBskgQzGwac\nC4wA9gbmuvuorDpdgPOBCcBOQD1wuru/mFVvL2BadKwVwAzgIndfX+CnISmnC0iJiGxSTt0NewNH\nAg7M30Kd84DJwKXA0cBqYLaZ9c9UMLM+wGygGRgHTAHOBi4qWORSMXQBKRGRTcopSXjQ3Qe7+/HA\nv7M3mtn2hCThEne/2t1nA8cTkoGJsaqnAD2Ar7v7w+4+nZAgTDKzXgV/FpJquoCUiMgmZZMkuPuG\nNqocDPQC7ort8z7wIBBf0b8WmOXuK2NldxASh5H5iVYqlS4gJSKySdkkCTnYA1gPvJpV/kq0LV5v\nXryCuy8C1mTVE9mMLiAlIrJJ2QxczEEfYHXC4MMmoMrMurn7uqjeioT9m6JtIlukC0iJiGySpiRB\npCh0ASkRkSBN3Q1NwA5m1jWrvA+wJmpFyNTrnbB/n2ibiIiI5CBNLQnzgK7AMMI0yYzsMQjzyBp7\nYGaDgaqseu2iBXYkX/RaEpG0SFNLwpPASsK0RwDMrIqwXkJ8dnsdcISZ9YyVfRNYC8zZmgfOLLDT\n0AAbNmxaYKe+fmuOJp2ZXksikiZl05IQfeEfGd0dCPQys+Oi+w+5+xozmwpMNrMmQqvAJEKiMy12\nqOnA6cB9ZnYpsBtwIXBF1rTInLW2wI5+AUp76LUkIsWSj1bLskkSgH7A3VllmftDgYXAVEJScD7Q\nF3gW+LK7L8vs4O5NZjYGuJqwhsIK4EpCorBVtMCO5IteSyJSDPlaYr5skgR3Xwh0aaNOM/Dr6NZa\nvZeB0fmKrbo6/Adn0wI70l56LYlIMeSr1TJNYxJKRgvsSL7otSSSHvX1MGUKTJgQ/qZp7FC+Wi3L\npiWhnGmBHcmXQr+WNHNCJD/SfkXYfLVaKknIkRbYkXwp1Gsp7R9qSnC2LM3/N2mNPe2DjGtrW34e\nZLS31VJJgkiFSPOHWjESnLR+WaU5+Utz7GkfZJyvVkslCSIVIs0faoVOcNL8ZZXm5C/NsVfCION8\ntFpq4KJIhUjzZa4LneC09mVV7tKc/KU5dg0yDtSSIFIh8tUH2ZpCNdkX+ldbmr+s0vyLNs2xa8B6\noCRBpEIUY+ZEoZrsC53gpPnLqhjJX6GkOXbQgHVQkiBSUQr5oVbI/uVCJzhp/rJK8y/aNMcugZIE\nEclJoZvsC5ngpP3LKs2/aNMcuyhJEJEcpbnJHvRlJbI1NLtBRHKi0d4inY9aElrqCrB06dJSxyFS\ndqqrYdw4mDMHli2DT30KRo4M5YsXlzo6Edkase+7rknbuzQ3NxcvmjJnZocCc0sdh4iISJEd5u5P\nZBeqJaGleuAwoBFYX+JYRERECq0rUE34/tuMWhJEREQkkQYuioiISCIlCSIiIpJISYKIiIgkUpIg\nIiIiiTS7IUdmthcwDRgBrABmABe5e2pnQZjZ8cB3gAOA3oADl7n77bE6jwMjE3bv4e4fFCPOfDCz\n7wM3Jmya4O7TozpdgPOBCcBOhNG+p7v7i8WKMx9aOWcAB7v7U2a2ENgla9syd+9fwNA6zMyGAecS\n3od7A3PdfVRWnZzOY7m/p9t6rmZWDUwCDgd2B5qAR4Hz3X1JrN4o4LGEh7jU3c8rVPztkeN5XUgO\nr9kKOK+jSD5fAH9z9yOiet+njc+0fFCSkAMz6wPMBl4GxhHekJcTWmIuKGFoHTUJeAM4C3gHOBK4\nzcx2cvdpsXqPAT/L2vfD4oSYd6OBtbH7r8f+fR4wmfAGnkf4/5ltZvu4e5pW2DoV6JVVNgX4HC2n\nOd1G+DDNWFfguPJhb8Lr9Glguy3UafM8puQ93dZzPQD4GuFL8BngU8CFwJPRc12dVf8kWr7eExbZ\nLplcziu08ZqtkPP6PCGBiBv1wwvwAAAgAElEQVQC3AkkXWattc+0DlOSkJtTgB7A1919JfCwmfUC\nLjSz30RlaXS0u78Tu/+omQ0gfKjG34jvuvvTxQ2tYOoTPjwxs+0JXy6XuPvVUdlTwEJgIuXzAdMm\nd385ft/MugGfB+50949jmxpTeF4fdPcHAMzsHkJLwUbtOI9peE+3+lyBJ4A94ufUzJ4ntAgeC9yc\nVf8ld/9XAePtiLaea0Zbr9nUn9coxhbP0cwOAzYAdyUcL/EzLV80JiE3tcCsrBfYHYQX45aadcte\nVoKQ8QKQkkv25NXBhF/fG9+E7v4+8CDh/KfZWKAPcHtbFcudu29oo0qu57Hs39NtPVd3X5GV9OHu\n84E1pOw9nMN5zVXqz+sWfAuYE+9GKhYlCbnZg9BsuZG7LyK8GfcoSUSFMwKYn1V2uJmtiW6zzGy/\nUgSWJ6+Z2cdm5mb241j5HoRVNl/Nqv8K6T/HJwCL2XzJ8ZPNbJ2ZvWdm95hZdn9vGuV6HivyPR29\nN6vY/D0MoaVwvZktNLMLzCxxrf4y19ZrtuLOq5l9htBVuKUkf0ufaXmhJCE3fQgDYLI1RdsqgpmN\nAY4h9OFlzAHOAI4AfkToG5trZrsWPcCOaST0U38HOJrQnDfdzM6KtvcBVicMbmoCqqIm+9Qxsyrg\nq8Bd7h5fXvUBwtiFMWwaRDXXzHoXP8q8yvU8Vtx72sy2Aa4iJEj/N7bpPWAq8H3C+/h+4CLgiiKH\n2FG5vGYr7rwSkvyPgHuzytv6TMsLjUkQAKIv/duAB9z9pky5u/8yVm2umc0mZOpnRrdUcPdZwKxY\nUV3Uf32BmV1VorCK4WjgE2T9CnH3M2J355rZk8CLwA+A3xYvPMmjSwhfnCPd/aNMobu/QOhGzJht\nZh8Ck8zs4i10O5adTvyaPYEwq+HdeGFbn2n56sJRS0JumghTBLP1ibalmpntSBg1+yZhBPQWRaPD\n/w4ML0JohXYPsCOwK+E87pDQBNsHWOPuaRj5n+QEYIG7P9tapWhAm5P+85rreayo97SZnUr4df09\nd38mh13uIfxITG3X4RZes5V2Xj8L7Enu44nin2l5oSQhN/PI6s8ys8GEvr95iXukRNQc/RegG/AV\nd1+Tw27N0S3tmmN/5xGuhjYsq85mfZxpETXD1pL7B0wlnNdcz2PFvKfN7FjCbKSfuvudOe7WnPU3\nrbJfsxVzXiMnEKY3PpBj/byfVyUJuakDjjCznrGybxJO3pzShNRxZrYtcDfwaWCsu7+dwz79gUOB\n5wocXjEcR1gf4k3gSWAlcHxmY5RAHU3y3OQ0+BrQnRySBDPbh/Dhmvbzmut5rIj3dLTwzq3ANHe/\nrB27Hgd8DLxUiLiKYQuv2Yo4rzEnEKZM5jrFMf6Zlhcak5Cb6cDpwH1mdimwG2HRkivKZN7t1vo9\nYVGPM4C+ZtY3tu0FwAj9nHcTXnRDCCvZbSBlfYBmdi/wD8KHYlfCB8c3CSvxbQA+MLOpwGQza2LT\nIjzb0HLNiDQ5Afinu78SLzSzo4BvE1qQlhA+aC8AFgE3FTnGdom+8I+M7g4EepnZcdH9h9x9TY7n\nsezf0209V8Lqg/cTnuOdZnZQbPf/uPtr0XGuBf5DWEhrXXTMicBv3X15wZ9IDnJ4rl8kt9ds6s9r\npjU3Op+7Eha7SzpOW59peaEkIQfu3hSN/L+aMN96BXAl4cWXZodHf5MG7g0FlgNdCIlCX2AV8Dhw\nTDStKE0c+G9gMOE5vQx8193/FKszlfBlcj7h+T4LfNndlxU51g4zs50Io8AnJ2x+C+hHSPQ+STjP\nM4GflcsHaSv6EZLWuMz9oYRFk9o8jyl5T7f1XA8k9L9/ltCCEnczYTYDhOmf4wlfNt2ABcDZJL/v\nS6Wt55rTa7ZCzuvC6N8nEGambKklM5fPtA7r0tyc9i4pERERKQSNSRAREZFEShJEREQkkZIEERER\nSaQkQURERBIpSRAREZFEShJEREQkkZIEERERSaQkQURERBIpSRAREZFEShJEREQkkZIEERERSaQk\nQURERBIpSRAREZFEShJEREQkkZIEERERSaQkQURERBIpSRAREZFEShJEREQk0balDqCcmFl3oAZo\nBNaXOBwREZFC6wpUA/Xu/mH2RiUJLdUAc0sdhIiISJEdBjyRXagkoaVGgFtvvZX+/ftv1QFeWvYS\njy98nLfff5t+n+jHqF1Hsd+n9strkCIiIvmwdOlSTjrpJIi+/7IpSWhpPUD//v0ZNGhQu3eub6jn\ngSUPQDfo3q077/EeDyx5gJ3770zNwJq8BysiIpIniV3sGriYR3UL6hLLZy6YWeRIREREOk5JQh41\nrkpsrWHJqiVFjkRERKTjlCTkUXXP6sTyAT0HFDkSERGRjiubMQlmNgw4FxgB7A3MdfdRse3VwCTg\ncGB3oAl4FDjf3ZfE6o0CHkt4iEvd/bxCxQ9QO6yWGc/P2Kx87LCxhXxYERGRgiibJIGQGBwJPA1s\nl7D9AOBrwAzgGeBTwIXAk2a2j7uvzqp/EvB67H5DvgPOlhmcOHPBTJasWsKAngMYO2ysBi2KiEgq\nlVOS8KC7PwBgZvcAO2VtfwLYw90/zhSY2fOAA8cCN2fVf8nd/1XAeBPVDKxRUiAiIhWhbJIEd9/Q\nxvYVCWXzzWwNoE5/ERGRPCubJGFrmNl+QBUwP2Hzo2bWF3iL0EVxibtrqWUREZEcpTZJMLNtgKuA\nV4H/G9v0HjCVsLzyOuArwEXAzsAZRQ5TREQktVKbJACXEGZCjHT3jzKF7v4C8EKs3mwz+xCYZGYX\nu/s7RY5TREQklVK5ToKZnUqYLvk9d38mh13uISREuoiCiIhIjlKXJJjZscA04KfufmeOuzVn/RUR\nEdnMeeedx9e//vWiP+59992HmfH+++8DsHjxYsyMxx5LWvaneFLV3RAtlHQrMM3dL2vHrscBHwMv\nFSIuERGpDKeeeioffPBBqcOgX79+3Hnnney2224ljaNskgQzqyIspgQwEOhlZsdF9x8CdgHuB+YB\nd5rZQbHd/+Pur0XHuRb4D1BPGLh4JDAR+K27Ly/4ExERkdQaMmRIqUMAoFu3buy///6lDqOsuhv6\nAXdHt4OAvWL3+wEHAr2BzwJPAk/FbpNjx3kFOAa4jTDr4UvA2cA5xXgSIiLSMfUN9UyZM4UJf5nA\nlDlTqG+oL9pjx7sbMl0A7s4PfvAD9t9/f8aOHcvf/va3Fvs8++yznHjiiQwfPpzhw4czbtw46uo2\nXRXYzLjlllta7DNt2jQOPPDALcaR1N0wevRoLr30Um666Sb+67/+i5qaGs466yxWrlyZj6eeqGxa\nEtx9IdCllSo3Rbe2jvM74Hd5CUpERIqqvqG+xTVwGlY2bLxfqtVszznnHL7xjW9w8sknc8sttzBp\n0iRmz55N//79Wb16NaeccgpjxozhtNNOo7m5mfnz57Nq1aqCxFJXV4eZcfHFF7N06VKmTp3KFVdc\nwYUXXliQxyubJEFERKRuQV1i+cwFM0uWJHzve9/juONC7/fee+/NIYccwmOPPca3vvUt3njjDVat\nWsXkyZPZYYcdADj00EMLFsu2227LNddcw7bbhq/vBQsW8NBDDxUsSSin7gYREenkGlc1JpYvWbUk\nsbwY4l/6ffr0Yccdd2Tp0qVAGMNQVVXFOeecw+zZswva9A9w4IEHbkwQAIYNG8by5cv56KOPWtlr\n6ylJEBGRslHdszqxfEDP0l2ip2fPni3ud+vWjXXr1gHQu3dvbrzxRj766CPOPPNMRowYwY9+9CPe\neuutgsTSq1evFve32247mpubN8aTb0oSRESkbNQOq00sHztsbJEjyd3+++/PDTfcwLPPPsu0adNY\nuHAhZ5999sbt3bp12+yX/nvvvVfsMLeKxiSIiEjZyIw7mLlgJktWLWFAzwGMHTa2ZOMR2mP77bdn\n9OjRvPrqq1x33XUby/v3789rr7228f6GDRt4+umnSxFiuylJEBGRslIzsCYVSQHA448/zr333suY\nMWMYMGAAy5Yt48477+SggzYt5fOlL32J2267jT333JPBgwdzzz33sHr16hJGnTslCSIiIltpyJAh\ndOnShSuvvJLly5ez4447MmrUKCZNmrSxzsSJE3n33Xe56qqr2G677TjppJMYNmwYt956awkjz02X\n5mZdziDDzHYF3njkkUcYNGhQqcMREREpqMWLFzNmzBiAodF6RS1o4KKIiIgkUpIgIiIiiZQkiIiI\nSCIlCSIiIpJISYKIiIgkUpIgIiIiiZQkiIiISCIlCSIiIpJISYKIiIgkUpIgIiIiiZQkiIiISCIl\nCSIiIpJISYKIiIgkUpIgIiIiiZQkiIiISCIlCSIiIpJISYKIiIgkUpIgIiIiibYtdQAZZjYMOBcY\nAewNzHX3UVl1ugDnAxOAnYB64HR3fzGr3l7AtOhYK4AZwEXuvr7AT0NERKRilFNLwt7AkYAD87dQ\n5zxgMnApcDSwGphtZv0zFcysDzAbaAbGAVOAs4GLCha5iIhIBSqnJOFBdx/s7scD/87eaGbbE5KE\nS9z9anefDRxPSAYmxqqeAvQAvu7uD7v7dEKCMMnMehX8WYiIiFSIskkS3H1DG1UOBnoBd8X2eR94\nEKiN1asFZrn7yljZHYTEYWR+ohUREal8ZZMk5GAPYD3walb5K9G2eL158QruvghYk1VPREREWpGm\nJKEPsDph8GETUGVm3WL1ViTs3xRtExERkRykKUkQERGRIkpTktAE7GBmXbPK+wBr3H1drF7vhP37\nRNtEREQkB2lKEuYBXYFhWeXZYxDmkTX2wMwGA1VZ9URERKQVaUoSngRWEqY9AmBmVYT1Eupi9eqA\nI8ysZ6zsm8BaYE4R4hQREakI5bTiYhVhMSWAgUAvMzsuuv+Qu68xs6nAZDNrIrQKTCIkOtNih5oO\nnA7cZ2aXArsBFwJXZE2LFBERkVaUTZIA9APuzirL3B8KLASmEpKC84G+wLPAl919WWYHd28yszHA\n1YQ1FFYAVxISBREREclR2SQJ7r4Q6NJGnWbg19GttXovA6PzFpyIiEgnlKYxCSIiIlJEShJEREQk\nkZIEERERSaQkQURERBIpSRAREZFEShJEREQkkZIEERERSaQkQURERBIpSRAREZFEShJEREQkkZIE\nERERSaQkQURERBKVzQWeKll9Qz11C+poXNVIdc9qaofVUjOwptRhiYiItEpJQoHVN9Qz4/kZG+83\nrGzYeF+JgoiIlDN1NxRY3YK6xPKZC2YWORIREZH2yWuSYGZdzawqn8dMu8ZVjYnlS1YtKXIkIiIi\n7ZPvloTzgFV5PmaqVfesTiwf0HNAkSMRERFpH3U3FFjtsNrE8rHDxhY5EhERkfbRwMUCywxOnLlg\nJktWLWFAzwGMHTZWgxZFRKTsKUkogpqBNUoKREQkddTdICIiIonabEkws/3acbz+HYhFREREykgu\n3Q0vAs05Hq9LO+qKiIhIGcslSfhBwaMQERGRstNmkuDuNxcjEBERESkvqZrdYGaPAyO3sPlgd3/K\nzBYCu2RtW+buGi8hIiLSDu1OEsxsCPAdYCjQhzAOIa7Z3Y/NQ2xJTgV6ZZVNAT4H1MfKbgOmxe6v\nK1A8IiIiFatdSYKZnQTcGO23AngvoVrBBi66+8tZ8XQDPg/c6e4fxzY1uvvThYpDRESkM2hvS8L/\nAK8Ax7v7/ALE015jCa0Zt5c6EBERkUrT3iShLzC1TBIEgBOAxcDcrPKTzex0YC3wMHC2u79Z7OBE\nRETSrL0rLv4d2L0QgbRXdEnqrwJ3uXu8i+MBwtiFMcC5wAhgrpn1Ln6UIiIi6dXeloSfALPM7F/A\nn9x9fQFiytXRwCfI6mpw9zNid+ea2ZOEBaF+APy2eOGJiIikW7uSBHefb2aXADOA68xsKZCdKDS7\nezFaG04AFrj7s61Vcvd/mZkDw4sQk4iISMVo7+yGnwKXEGY2/JPk2Q0FF3Ud1AK/yXGXZrRctIiI\nSLu0t7thEjAb+Kq7f1iAeHL1NaA7OcxqMLN9gD2APxQ6KBERkUrS3iShB3BfiRMECF0N/3T3V+KF\nZnYU8G3gL8ASQnJwAbAIuKnIMYqIiKRae2c31AGHFCKQXJnZToSZC3ckbH4L6EcYoPg34JeEKZCH\nuvvKogUpIiJSAdrbkvBz4B4z+x1wA+EX+mYzHAr5hezu7wDbbWHbS4QEQkRERDqovUnCq9HfzwKn\ntVKv69aFIyIiIuWivUnCFDRLQEREpFNo7zoJFxYoDhERESkzbQ5cNLMJ0eWhRUREpBPJpSXhf4Cr\nzWwe8FB0m5t1aWYRERGpMLkkCTsBhxJWODwSOBtYaWaPAH8F6ty9sXAhioiISCm0mSREF3GaE93O\nM7NBwFGEpOEq4Hoze4nQwvBX4KmsqzKKiIhICrV3MSXcfbG7X+fuxwA7AmOBx4BjgSeAd8zsdjM7\nML+hioiISDG1dwpkC+7+EWFFw4eBSWa2G5taGf4LeKbDEYqIiEhJdChJyOburwPTopuIiIikWJtJ\ngpld0crmZuAD4E1glru/ma/AREREpLRyaUk4M8djrTezy939vI4EJCIiIuUhl9kNrQ5uNLMegBGu\n5XCumb3q7jfkKT4REREpkQ6PSXD3tcCLwA/NbBfgFMIVIkVERCTF2j0Fsg11wJ55PqaIiIiUQL6T\nhPVAlzwfU0REREog30nCGGB+no8pIiIiJZCXdRKiq0ROBL4CnJWPY4qIiEhp5bJOQhNhPYQt2R7o\nTuhmuMndf5en2ERERKSEcmlJeIDWk4QPgEWEq0G+mJeoREREpORyWSfh+0WIQ0RERMpMu8YkmNnd\nwD+BfwEvRddqiG/fF1jj7q/lL0QREREphfYOXBxGGJzYHWg2szXAv4GXCInDwUANsHs+gxQREZHi\na1eS4O6fM7OuhGWY9wX2Az4LnAB8Iqr2Vl4jFBERkZJo9xRId18PvBzd7gQws27A/wHOAI7KZ4Ai\nIiJSGnlZTMnd17n7xcCjwP/k45giIiJSWnlZTCnmCQqYJJjZ94EbEzZNcPfpUZ0uwPnABGAnoB44\nXdMzRURE2qe9sxv+QJjd8L+E2Q0rsqoMA5blKbbWjAbWxu7HZ1mcB0wGzgXmAZOA2Wa2j7svLUJs\nbapvqKduQR2Nqxqp7llN7bBaagbWlDosERGRFtrbkjAWGB/9u9nMGghJgwP9gKOBk/IX3hbVu/vq\n7EIz256QJFzi7ldHZU8BCwnLRl9QhNhaVd9Qz4znZ2y837CyYeN9JQoiIlJO2ju7YYiZ9QL2iW77\nRn+/S2jaB/izmS0AXoluL7v77fkLuVUHA72Au2Ixv29mDwK1lEGSULegLrF85oKZShJERKSsbM3s\nhpXAk9FtIzP7FJuShkwCcQRQBeQ7SXjNzPoCrwFXuPt1UfkehMtVv5pV/xXgm3mOYas0rmpMLH9x\n6YtMmTNFXRAiIlI28jZw0d2XEcYjzI6Xm9nQfD0G0EgYb/APoCthfYbpZlbl7lcCfYDV0TTNuCag\nysy6ufu6PMbTbtU9q2lY2dCi7O3332bxysXsVBUaY9QFISIi5SDfsxs24+5v5PFYs4BZsaK6aBzC\nBWZ2Vb4ep5Bqh9W2GJMA8NbKtxjSe8hmddUFISIipZSXdRJK7B5gR2BXQovBDtGqkHF9CNeUKGkr\nAoSWgfHDxzOo1yC26bINg3oNYpfeu7Bz1c6b1V2yakkJIhQREQkK3pJQBM2xv/MI3RDDCDMuMvaI\ntpWFmoE1LVoIpsyZslkXBMCAngOKGZaIiEgLldCScBzwDvAmYTDlSuD4zEYzqyJMzUyeVlAGaofV\nJpaPHTa2yJGIiIhskqqWBDO7lzBo8SVCi8E3o9vp7r4B+MDMpgKTzayJTYspbQNMK03Ubcu0Ksxc\nMJMlq5YwoOeAjQmCZjyIiEippCpJIHQh/DcwGOhCuMjUd939T7E6UwlJwflAX+BZ4MvR7Iuyld0F\noUWXRESk1FKVJLj7z4CftVGnGfh1dEstLbokIiKlVgljEirSlhZd0owHEREpFiUJZaq6Z3ViuWY8\niIhIsShJKFOa8SAiIqWWqjEJnUnSjIchvYdQt6COP77wR812EBGRglOSUMbiMx4020FERIpN3Q0p\n0dpsBxERkUJQkpASmu0gIiLFpiQhJTTbQUREik1JQkpotoOIiBSbBi6mxJau76BBiyIiUihKElIk\n+/oOIiIihaTuBhEREUmkJEFEREQSqbsh5eob6qlbUEfjqkatwigiInmlJCHFtAqjiIgUkrobUkyr\nMIqISCEpSUgxrcIoIiKFpCQhxbQKo4iIFJKShBTTKowiIlJIGriYYlqFUURECklJQsq1tgpja9Mj\nCz11UlMzRUTST0lChWpteiRQ0KmTmpopIlIZNCahQrU2PbLQUyc1NVNEpDKoJaFCbc30yHxNndTU\nTBGRyqCWhArV2vTIQk+d1NRMEZHKoCShQrU2PXJrpk7WN9QzZc4UJvxlAlPmTKG+oX6rHltERNIj\nVd0NZnY88B3gAKA34MBl7n57rM7jwMiE3Xu4+wfFiLMc5DI9Mtepk+0diKipmSIilSFVSQIwCXgD\nOAt4BzgSuM3MdnL3abF6jwE/y9r3w3wHU+7T/FqbHtnatmytDUTMx/FFRKQ8pS1JONrd34ndf9TM\nBhCSh3iS8K67P13IQDrTND8NRBQR6ZxSNSYhK0HIeAEo+oi4zjTNTwMRRUQ6p1QlCVswApifVXa4\nma2JbrPMbL98P2hn+nWtgYgiIp1TqpMEMxsDHANcHiueA5wBHAH8CBgCzDWzXfP52J3p13XNwBrG\nDx/PoF6D2KbLNgzqNYjxw8dXXLeKiIi0lLYxCRtFX/q3AQ+4+02Zcnf/ZazaXDObDcwDzoxueVE7\nrLbFmISMSv11rYGIIiKdTyqTBDPbEagD3gROaq2uuy81s78Dw/MZg6b5lU65zyoREakUqUsSzKwK\n+AvQDfiKu6/JYbfm6JZX+nVdfJ1pVomISKmlakyCmW0L3A18Ghjr7m/nsE9/4FDguQKHJ0XQmWaV\niIiUWtpaEn5PWEDpDKCvmfWNbXsBMOASQiLxJmHQ4vnABuC3xQ1VCqEzzSoRESm1tCUJh0d/r0rY\nNhRYDnQhJAp9gVXA48Ax7r6oGAFKYVX3rKZhZcNm5ZU4q0REpNRSlSS4+645VDuy0HFI6XS2WSUi\nIqWUqiRBRLNKRESKR0mCpI5mlYiIFEeqZjeIiIhI8ShJEBERkURKEkRERCSRxiSIZCn0ss9aVlpE\n0kJJgkhMoZd91rLSIpIm6m4QiSn0ss9aVlpE0kRJgkhMoZd91rLSIpImShJEYqp7VieW52vZ50If\nX0Qkn5QkiMTUDqtNLM/Xss+FPr6ISD5p4GKONCK9cyj0ss+FPr5ep1um/xuR9lOSkAONSO9cCr3s\nc6GOX4zXaVq/aPUeFtk66m7IgUakSxoU+nWa+aJtWNnAhuYNG79o6xvq83L8QtJ7WGTrKEnIgUak\nSxoU+nWa5i9avYdFto66G3JQ3bOahpUNm5VrRLqUk0K/Tgv9RVvIrgy9h0snrV1UkO7Y80UtCTnQ\niHRJg0K/Tgs5fbPQXRl6D5dGmruo0hx7PqklIQeFHpEukg+Ffp3WDqttMfgvIx9ftK11ZeQj/rS/\nh9P6i7bQ57WQ0hx7Rj5eN0oSclToEe8i+VDI12khv2iLMWYgre/hNM/MSPNYkDTHDvl73ShJEJGc\nFeqLVmMGtizNv2jTfF7THDvk73WjMQkiUnIaM7Blaf5Fm+bzmubYIX+vG7UkiEjJpX3MQCGl+Rdt\nms9rmmOH/L1ulCSISFlI65iBQivkgNFiSPN5TXPs+XrdKEloqSvA0qVLSx2HiAgA1VQzbsA45iyc\nw7L3l/GpT3yKkbuOpLq5msWLF5c6PClTub5uYt93XZOO06W5ubkI4aaDmR0KzC11HCIiIkV2mLs/\nkV2oloSW6oHDgEZgfYljERERKbSuQDXh+28zakkQERGRRJoCKSIiIomUJIiIiEgiJQkiIiKSSEmC\niIiIJNLshhyZ2V7ANGAEsAKYAVzk7qmdBWFmxwPfAQ4AegMOXObut8fqPA6MTNi9h7t/UIw488HM\nvg/cmLBpgrtPj+p0Ac4HJgA7EUb7nu7uLxYrznxo5ZwBHOzuT5nZQmCXrG3L3L1/AUPrMDMbBpxL\neB/uDcx191FZdXI6j+X+nm7ruZpZNTAJOBzYHWgCHgXOd/clsXqjgMcSHuJSdz+vUPG3R47ndSE5\nvGYr4LyOIvl8AfzN3Y+I6n2fNj7T8kFJQg7MrA8wG3gZGEd4Q15OaIm5oIShddQk4A3gLOAd4Ejg\nNjPbyd2nxeo9Bvwsa98PixNi3o0G1sbuvx7793nAZMIbeB7h/2e2me3j7mlaYetUoFdW2RTgc7Sc\n5nQb4cM0Y12B48qHvQmv06eB7bZQp83zmJL3dFvP9QDga4QvwWeATwEXAk9Gz3V1Vv2TaPl633zN\n3tLJ5bxCG6/ZCjmvzxMSiLghwJ1A0lWbWvtM6zAlCbk5BegB/397dx5rR1mHcfwLyGJF4FLABdEW\nKU9VFCMkCGiUsCslKChVRKoYJAYouBFWQaKsIkhlSVS2sBSKUopiAQ1YAUE2gUB/QOVCUYQCF1Ar\ntKX1j3dOGaZzeqa955575tznk9zMPbOdd/LO8jvv+8778vmIeAW4SdI6wAmSTsvm1dGEiHg+9/mP\nkt5NuqnmL8QXI+IvnU3akPlryc0TSWuRHi4nR8SUbN4dQD9wCN1zg2kpIh7Of5a0BrA1MDUiFuUW\nPVPDfJ0REdMBJE0jlRQstQL5WIdrernHCvwZGJ/PU0n3kkoE9wYuLqz/QEQ8NITpHYxWx9rQ6pyt\nfb5maXzTMUr6JLAYuKpkf6X3tHZxm4RqdgdmFk6wK0knY7Ni3a5XCBAa7gO6f+SY9tuO9Ot76UUY\nEf8FZpDyv852A/qAK1O4KxQAAAiySURBVFqt2O0iYnGLVarmY9df062ONSJeKgR9RMSjwHxqdg1X\nyNeqap+vTXwJuDVfjdQpDhKqGU8qtlwqIp4iXYzjhyVFQ2db4NHCvF0kzc/+Zkr6yHAkrE3mSFok\nKSR9Mzd/PKmXzccK6z9C/fN4IvA0y3Y5fqCkBZJeljRNUrG+t46q5mNPXtPZtTmKZa9hSCWFr0vq\nl3SspNK++rtcq3O25/JV0uakqsJmQX6ze1pbOEiopo/UAKZoIFvWEyTtCOxFqsNruBWYDOwKHESq\nG5slaUzHEzg4z5DqqfcHJpCK886XdES2vA/4T0njpgFgVFZkXzuSRgF7AldFRL571emktgs78kYj\nqlmS1u18Ktuqaj723DUtaVXgbFKAdF1u0cvAKcAk0nV8LXAicGaHkzhYVc7ZnstXUpC/ELimML/V\nPa0t3CbBAMge+pcD0yPiosb8iPhBbrVZkm4mReqHZ3+1EBEzgZm5WTdk9dfHSjp7mJLVCROAt1H4\nFRIRk3MfZ0m6Hbgf+BpwVueSZ210MunB+amIWNiYGRH3kaoRG26W9BrwbUknNal27Doj+JydSHqr\n4cX8zFb3tHZV4bgkoZoB0iuCRX3ZslqTtD6p1eyTpBbQTWWtw28DPtaBpA21acD6wBhSPq5dUgTb\nB8yPiDq0/C8zEXg8Iu5e3kpZg7ag/vlaNR976pqW9C3Sr+sDIuLOCptMI/1IrG3VYZNzttfydUvg\nA1RvT5S/p7WFg4RqZlOoz5K0Canub3bpFjWRFUdfD6wB7BER8ytstiT7q7sluels0mhomxXWWaaO\nsy6yYtjdqX6D6YV8rZqPPXNNS9qb9DbS9yNiasXNlhSmdVU8Z3smXzMTSa83Tq+4ftvz1UFCNTcA\nu0p6e27evqTMu3V4kjR4kt4CXA2MA3aLiOcqbPNO4BPAPUOcvE7Yh9Q/xJPA7cArwBcaC7MAagLl\n7ybXweeANakQJEjagnRzrXu+Vs3Hnrims453LgPOiYgzVmDTfYBFwANDka5OaHLO9kS+5kwkvTJZ\n9RXH/D2tLdwmoZrzgcOAX0s6FdiU1GnJmV3y3u3KOpfUqcdkYLSk0bll9wEi1XNeTTrp3kvqyW4x\nNasDlHQNcBfpprga6caxL6knvsXAq5JOAY6TNMAbnfCsypv7jKiTicDfIuKR/ExJnwW+QipB+ifp\nRnss8BRwUYfTuEKyB/5nso8bA+tI2if7/LuImF8xH7v+mm51rKTeB68lHeNUSR/PbT4vIuZk+zkP\nmEfqSGtBts9DgLMi4oUhP5AKKhzrDlQ7Z2ufr43S3Cw/x5A6uyvbT6t7Wls4SKggIgaylv9TSO9b\nvwT8lHTy1dku2bSs4d5Y4AVgFVKgMBr4N3ALsFf2WlGdBPB1YBPSMT0MfDUiLs2tcwrpYXIU6Xjv\nBnaOiGc7nNZBk7QBqRX4cSWL5wIbkQK99Uj5/Hvg6G65kS7HRqSgNa/xeSyp06SW+ViTa7rVsW5D\nqn/fklSCkncx6W0GSK9/foP0sFkDeBz4DuXX/XBpdayVztkeydf+7P+JpDdTmpVkVrmnDdoqS5bU\nvUrKzMzMhoLbJJiZmVkpBwlmZmZWykGCmZmZlXKQYGZmZqUcJJiZmVkpBwlmZmZWykGC2QgnaZKk\nJd02sqekL0t6TtJb27jPfkkXreS2t2Ud9JiNGO5MyawHSaraAcrYIU3ISsq6DD8B+FlE/G+Yk9Nw\nGnCZpJ9U6cLcrBc4SDDrTfsXPh9O6sa32MXrPOBS4ErgtQ6kq6o9gfcDv2jzfkXqVnxlzCCNC3Ew\n8MO2pcisi7nHRbMRQNK1wEcjYsxwp6UKSTOAtSNih+FOS56kc0gja46LCN88ree5JMFshJM0CbgQ\nGBsR/dm8fuB+4OfAqaQx7R8BDo6IuyQdABxDGvTrTmBSRDxR2O92wImkMQZWA+4AjoyI5Y40KWkt\n0rgiy/xaz6pRziYNbHN89v13AwdGxGOSvgccCmwI3JSl68Xc9v3ALRExqXDs25L6yt+PNKzwjcBB\nETGvkISbSIMjbQE8uLzjMOsFbrhoZs2MBy4hjTR4DPAe4HpJBwJHAxeQAohtKFQLSNqJNBjYmqSH\n+XHZ9n+S9MEW37sVaSCie5ss3wH4MfAr4EfZ+r+RdDTwReAM0miAewCnVzzWc4EPkdpBnEcaWnpK\nyXqNAGf7ivs1qzWXJJhZMwK2iYi7ACQ9DUwlPXjHNYYZlrQ6cJSkTSJirqRVSQ/amRExYenOpF+S\nhjU+nvSrvZnx2fSJJss3BzaPiLnZfheSgpVJwIc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    +      "image/png": 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vhlAohIeHh8YpkYmIiMg0tSgkpKamYujQoVi/fj0sLCy0VRMREREZgRaNSaiq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\nAAAASUVORK5CYII=\n",
           "text/plain": [
    -       ""
    +       ""
           ]
          },
          "metadata": {},
    @@ -357,7 +359,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 187,
    +   "execution_count": 7,
        "metadata": {
         "collapsed": true
        },
    @@ -375,7 +377,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 188,
    +   "execution_count": 8,
        "metadata": {
         "collapsed": true
        },
    @@ -393,7 +395,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 189,
    +   "execution_count": 9,
        "metadata": {
         "scrolled": true
        },
    @@ -404,7 +406,7 @@
            "array(68.0)"
           ]
          },
    -     "execution_count": 189,
    +     "execution_count": 9,
          "metadata": {},
          "output_type": "execute_result"
         }
    @@ -422,7 +424,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 190,
    +   "execution_count": 10,
        "metadata": {},
        "outputs": [
         {
    @@ -434,9 +436,9 @@
         },
         {
          "data": {
    -      "image/png": 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siES5VjUIRo0tmojjLRrtOlNKqcBaNH/DWiHgPWA11od3kxGRC4AXgKeB5UAP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\nXQTQxxizx/NcoBuftRvrMtfx/LrnOVp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    +      "image/png": 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0tYKr7cqqaG6obnAq+RTH44+z8teVnEw8WVPhCSFErVBp09moUaN48803efPN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\nigoNIYQQl/oX2mMKUIiJxFcAAAAASUVORK5CYII=\n",
           "text/plain": [
    -       ""
    +       ""
           ]
          },
          "metadata": {},
    @@ -464,7 +466,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 235,
    +   "execution_count": 11,
        "metadata": {},
        "outputs": [
         {
    @@ -476,9 +478,9 @@
         },
         {
          "data": {
    -      "image/png": 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9bi8E4kUkxrWqQTAabNFE1bVotOtMKaUCa9H8BWuFgHeB1Vgf3q1GRM4Hngee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\n7CeNdOsZki4gDVToqbisPv6Nxqwe+4BvgPvyvvT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RjBo1ih9++IG8vLzyLjXJy8tjz549jBo1qkrB1XYlVTS3Mm9xKvEUR+OOEvZb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\nhBCv+j/FGp0rKGHB0gAAAABJRU5ErkJggg==\n",
           "text/plain": [
    -       ""
    +       ""
           ]
          },
          "metadata": {},
    @@ -510,7 +512,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 192,
    +   "execution_count": 12,
        "metadata": {
         "collapsed": true
        },
    @@ -531,7 +533,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 193,
    +   "execution_count": 13,
        "metadata": {
         "collapsed": true
        },
    @@ -550,7 +552,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 194,
    +   "execution_count": 14,
        "metadata": {
         "collapsed": true
        },
    @@ -568,7 +570,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 195,
    +   "execution_count": 15,
        "metadata": {
         "collapsed": true
        },
    @@ -589,7 +591,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 196,
    +   "execution_count": 16,
        "metadata": {
         "collapsed": true
        },
    @@ -625,7 +627,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 197,
    +   "execution_count": 17,
        "metadata": {},
        "outputs": [
         {
    @@ -671,7 +673,7 @@
            "dtype: float64"
           ]
          },
    -     "execution_count": 197,
    +     "execution_count": 17,
          "metadata": {},
          "output_type": "execute_result"
         }
    @@ -689,7 +691,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 198,
    +   "execution_count": 18,
        "metadata": {
         "collapsed": true
        },
    @@ -724,15 +726,15 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 199,
    +   "execution_count": 19,
        "metadata": {},
        "outputs": [
         {
          "name": "stdout",
          "output_type": "stream",
          "text": [
    -      "CPU times: user 177 ms, sys: 2.99 ms, total: 180 ms\n",
    -      "Wall time: 178 ms\n"
    +      "CPU times: user 203 ms, sys: 3.14 ms, total: 206 ms\n",
    +      "Wall time: 199 ms\n"
          ]
         }
        ],
    @@ -749,7 +751,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 200,
    +   "execution_count": 20,
        "metadata": {},
        "outputs": [
         {
    @@ -1155,7 +1157,7 @@
            "[92 rows x 2 columns]"
           ]
          },
    -     "execution_count": 200,
    +     "execution_count": 20,
          "metadata": {},
          "output_type": "execute_result"
         }
    @@ -1173,7 +1175,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 201,
    +   "execution_count": 21,
        "metadata": {},
        "outputs": [
         {
    @@ -1185,9 +1187,9 @@
         },
         {
          "data": {
    -      "image/png": 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k5xVduRLmzQtpMUVE5ARS1ouDVbPW7vHuW2u3AXd5NimBhQtzFwsD2LQpdz8l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K5MmT8fX1NeV1cHBg2bJlREdHM3nyZBwdHenTpw/Tp0+32LWUZOtW1UGzTh24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\nIiIistj/Ah9HuT4H5ZzgAAAAAElFTkSuQmCC\n",
           "text/plain": [
    -       ""
    +       ""
           ]
          },
          "metadata": {},
    @@ -1222,7 +1224,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 202,
    +   "execution_count": 22,
        "metadata": {
         "collapsed": true
        },
    @@ -1255,7 +1257,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 203,
    +   "execution_count": 23,
        "metadata": {},
        "outputs": [
         {
    @@ -1264,7 +1266,7 @@
            "(-5.9399999999999995, 0.0)"
           ]
          },
    -     "execution_count": 203,
    +     "execution_count": 23,
          "metadata": {},
          "output_type": "execute_result"
         }
    @@ -1282,7 +1284,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 204,
    +   "execution_count": 24,
        "metadata": {
         "collapsed": true
        },
    @@ -1303,7 +1305,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 205,
    +   "execution_count": 25,
        "metadata": {
         "collapsed": true
        },
    @@ -1321,15 +1323,15 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 206,
    +   "execution_count": 26,
        "metadata": {},
        "outputs": [
         {
          "name": "stdout",
          "output_type": "stream",
          "text": [
    -      "CPU times: user 85.3 ms, sys: 4.04 ms, total: 89.3 ms\n",
    -      "Wall time: 86.8 ms\n"
    +      "CPU times: user 149 ms, sys: 2.15 ms, total: 151 ms\n",
    +      "Wall time: 145 ms\n"
          ]
         }
        ],
    @@ -1346,7 +1348,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 207,
    +   "execution_count": 27,
        "metadata": {},
        "outputs": [
         {
    @@ -1533,7 +1535,7 @@
            "182    91.759884 -0.000789"
           ]
          },
    -     "execution_count": 207,
    +     "execution_count": 27,
          "metadata": {},
          "output_type": "execute_result"
         }
    @@ -1551,14 +1553,14 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 208,
    +   "execution_count": 28,
        "metadata": {},
        "outputs": [
         {
          "data": {
    -      "image/png": 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IOz/2BpUN4/ngg0MwaRL1wYn87Gcezj8fbrjBjSoVkeFNASBJuLuKeoEz4cOj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\nACAikqQUAEREkpQCgIhIkhp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os0yv12MytWxsjUYjer2+RXlHSkiAxYshOhrC+wfSQ9/AHSGl+KktHP7gUKf+biGE8FTt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\nXhHvvINzprAQQnS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    -       ""
    +       ""
           ]
          },
          "metadata": {},
    @@ -1580,7 +1582,7 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 209,
    +   "execution_count": 29,
        "metadata": {
         "scrolled": false
        },
    @@ -1745,7 +1747,7 @@
            "182 -0.091388    0.890527"
           ]
          },
    -     "execution_count": 209,
    +     "execution_count": 29,
          "metadata": {},
          "output_type": "execute_result"
         }
    @@ -1765,181 +1767,116 @@
       },
       {
        "cell_type": "code",
    -   "execution_count": 210,
    +   "execution_count": 30,
        "metadata": {},
        "outputs": [
         {
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    " - ], - "text/plain": [ - " G X\n", - "2 -0.137599 -100.000000\n", - "4 -0.169870 -77.434912\n", - "6 0.130056 -19.505817\n", - "8 0.211674 -4.504691\n", - "10 0.143431 -2.674804\n", - "12 0.056565 -1.472096\n", - "14 -0.051320 -0.482966\n", - "16 -0.178243 0.648509\n", - "22 -0.637911 1.495184\n", - "32 -1.282330 1.246544\n", - "42 -1.682102 2.058923\n", - "52 -1.960815 2.688650\n", - "62 -2.000588 2.243049\n", - "72 -1.869449 2.598662\n", - "82 -1.665704 2.426032\n", - "92 -1.425725 2.657894\n", - "102 -1.159541 1.045825\n", - "122 -0.713099 2.627447\n", - "142 -0.430551 -1.933447\n", - "162 -0.207506 3.583700\n", - "182 -0.091388 0.890527" - ] - }, - "execution_count": 210, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + " G X\n", + "0.0 290.000000 0.000000\n", + "0.5 287.030000 0.000000\n", + "1.0 284.104550 -0.000044\n", + "1.5 281.229268 -0.000090\n", + "2.0 278.403529 -0.000096\n", + "2.5 275.620863 -0.000020\n", + "3.0 272.869334 0.000179\n", + "3.5 270.131906 0.000541\n", + "4.0 267.386792 0.001052\n", + "4.5 264.615400 0.001636\n", + "5.0 261.809705 0.002223\n", + "5.5 258.971601 0.002740\n", + "6.0 256.112255 0.003160\n", + "6.5 253.245932 0.003498\n", + "7.0 250.384283 0.003770\n", + "7.5 247.536483 0.003992\n", + "8.0 244.709378 0.004176\n", + "8.5 241.907820 0.004334\n", + "9.0 239.134995 0.004478\n", + "9.5 236.392528 0.004620\n", + "10.0 233.680592 0.004763\n", + "10.5 230.998839 0.004906\n", + "11.0 228.347255 0.005044\n", + "11.5 225.726142 0.005176\n", + "12.0 223.136086 0.005300\n", + "12.5 220.577749 0.005417\n", + "13.0 218.051663 0.005528\n", + "13.5 215.558239 0.005633\n", + "14.0 213.097773 0.005732\n", + "14.5 210.670550 0.005825\n", + "... ... ...\n", + "167.0 90.506027 -0.000442\n", + "167.5 90.548441 -0.000454\n", + "168.0 90.590749 -0.000465\n", + "168.5 90.632952 -0.000477\n", + "169.0 90.675052 -0.000488\n", + "169.5 90.717051 -0.000499\n", + "170.0 90.758950 -0.000511\n", + "170.5 90.800752 -0.000522\n", + "171.0 90.842458 -0.000534\n", + "171.5 90.884070 -0.000545\n", + "172.0 90.925591 -0.000557\n", + "172.5 90.967023 -0.000568\n", + "173.0 91.008367 -0.000580\n", + "173.5 91.049626 -0.000591\n", + "174.0 91.090802 -0.000603\n", + "174.5 91.131899 -0.000614\n", + "175.0 91.172917 -0.000626\n", + "175.5 91.213861 -0.000638\n", + "176.0 91.254731 -0.000649\n", + "176.5 91.295531 -0.000661\n", + "177.0 91.336264 -0.000673\n", + "177.5 91.376932 -0.000684\n", + "178.0 91.417539 -0.000696\n", + "178.5 91.458085 -0.000708\n", + "179.0 91.498576 -0.000719\n", + "179.5 91.539013 -0.000731\n", + "180.0 91.579400 -0.000743\n", + "180.5 91.619739 -0.000755\n", + "181.0 91.660033 -0.000767\n", + "181.5 91.700286 -0.000779\n", + "\n", + "[364 rows x 2 columns]\n" + ] } ], "source": [ - "# I'm not sure what this means by decreasing dt, but decreasing the time interval should do something.\n", - "slope_func(init, 1/2, system)\n", + "import pandas as pd\n", + "system = pd.Series({'init': init, 'k1': k1, 'k2': k2, 'k3': k3,\n", + " 'I': I, 'Gb': Gb, 'Ib': Ib, 't0': 0, 't_end': 182, 'dt': 0.5})\n", + "\n", + "\n", + "def update_func(state, t, system):\n", + " G, X = state\n", + " dGdt = -system.k1 * (G - system.Gb) - X * G\n", + " dXdt = system.k3 * (I(t) - system.Ib) - system.k2 * X\n", + " G += dGdt * system['dt']\n", + " X += dXdt * system['dt']\n", + " return pd.Series({'G': G, 'X': X})\n", + "\n", + "\n", + "def run_simulation(system, update_func):\n", + " frame = pd.DataFrame(columns=system.init.index, dtype=np.float64)\n", + " frame.loc[system.t0] = system.init\n", + " ts = np.float64(np.arange(system.t0, system.t_end - system['dt'], system['dt']))\n", + " for t in ts:\n", + " frame.loc[t + system['dt']] = update_func(frame.loc[t], t, system)\n", + " system.results = frame\n", + "\n", + "run_simulation(system, update_func)\n", + "\n", + "\n", + "system2 = pd.Series({'init': init, 'k1': k1, 'k2': k2,\n", + " 'k3': k3, 'I': I, 'Gb': Gb, 'Ib': Ib, 'ts': data.index})\n", + "\n", + "\n", + "system2.results = pd.DataFrame(scipy.integrate.odeint(slope_func, list(\n", + " system2.init), system2.ts[:-1], (system,)), columns=system.init.index, index=system2.ts[:-1], dtype=np.float64)\n", + "\n", "diff = system.results - system2.results\n", - "percent_diff = diff / system2.results * 100\n", - "percent_diff.dropna()\n", - "# These errors are lower." + "percent_diff = (diff / system2.results * 100).dropna()\n", + "print(system.results)\n" ] }, { @@ -2338,7 +2275,9 @@ { "cell_type": "code", "execution_count": 246, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "system = make_system(*best_params, data)\n", @@ -2396,7 +2335,9 @@ { "cell_type": "code", "execution_count": 248, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "def error_func(params, data):\n", @@ -2513,7 +2454,9 @@ { "cell_type": "code", "execution_count": null, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "indices(*best_params)" @@ -2768,7 +2711,9 @@ { "cell_type": "code", "execution_count": null, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "# Solution goes here\n", @@ -2796,7 +2741,9 @@ { "cell_type": "code", "execution_count": null, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "phi1 = (data.insulin.max() - data.insulin[0])/(system.k*(data.glucose.max() - data.glucose[0]))\n", @@ -2806,7 +2753,9 @@ { "cell_type": "code", "execution_count": null, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "phi2 = gamma * 10e4\n", diff --git a/code/chap08mine.org b/code/chap08mine.org index 2e03693d..f9ad2a36 100644 --- a/code/chap08mine.org +++ b/code/chap08mine.org @@ -176,7 +176,7 @@ Modify the last line of error_func to return errors.loc[8:], which includes only system= pd.Series({'init': init, 'k1': k1, 'k2': 'k2', 'k3': k3, 'Gb': Gb, 'Ib': Ib, - 'I': scipy.interpolate.interp1d(data.insulin.index, data.insulin.values), + 'I': cipy.interpolate.interp1d(data.insulin.index, data.insulin.values), 'ts': data.index}) return system From f610bd3a0a5f7820c3b034bd22e7fc4960935112 Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Wed, 25 Oct 2017 20:21:33 +0000 Subject: [PATCH 46/51] change typo --- code/chap08-fig01.pdf | Bin 14131 -> 14131 bytes code/chap08-fig02.pdf | Bin 15893 -> 15893 bytes code/chap08-fig03.pdf | Bin 15414 -> 15414 bytes code/chap08-fig04.pdf | Bin 12094 -> 10459 bytes code/chap08mine.ipynb | 565 +++++++++++++++++++----------------------- 5 files changed, 256 insertions(+), 309 deletions(-) diff --git a/code/chap08-fig01.pdf b/code/chap08-fig01.pdf index 6fbb38efca80aaeaf91d23052c0219e7366a400c..760c457df66210d4d1713b6667cb3281683c7886 100644 GIT binary patch delta 17 Ycmdm-w>fXaHX{}zLj%jryNoJX07U)<#{d8T delta 17 Ycmdm-w>fXaHX{~8b5qmJyNoJX07Wnc%>V!Z diff --git a/code/chap08-fig02.pdf b/code/chap08-fig02.pdf index 1595cfa99264630792fd347abfb334f3802297bf..abc8ce31e1fc3f322aaab1644c540816ed04263b 100644 GIT binary patch delta 17 YcmbPQGqq-ehb4=Vp@HRQAIp<006hc-DF6Tf delta 17 YcmbPQGqq-ehb4=lxv9lwAIp<006jqQQ_UB$002bc2Fd^c diff --git a/code/chap08-fig04.pdf b/code/chap08-fig04.pdf index c413a9fa8f3eba65cba055bfc36c81f015fcadad..4282829c898e1bd90c8efc17ef32f115791955ac 100644 GIT binary patch delta 2725 zcmZuzd0bQ15+DYcG%# zIUq2&1vbomI!1RB=l!s`F(Ynkxaa;uyjIfC*MYw|oud5dw)V+Qop1QwY355$ymw-? z{2OuE9=-5BO*!B*Xa$F(r3G=_jO6;ZeVcD0E4=&O9q#g^M--piTew1C&}txz`B84j zTT^|&BU!|>dURH`$=`l4GrP((h?;ojm|{45XEI~>Uk)cNuO(Hw=bqLxetd-O@j4;N z-PfzSCpBt(M%fAnFkhx58~=<3-*Ty_I@x{jOpD;+Y7! zx1D*`z3N$@RC%O-xK9zauPyv2m8JJRQnJ_Zh~v`#7w^CVGG9s8{4ex*LrPM@pzZJ? z?%_WorR&b+-jd!Zk2w`=eU^XX5%rV{IcrXhw`%b z6d#@2IZ{~pEUI};zAz*zs&|GwzQgo(f6-1eZ0Lqn+A6c;rLIp@q3G#QE0e&4ts{MC z*ozx@+RmT)u6ZT2d(Mw`81yT9lxjbq?DbF>ATQHuN`q5I%a|*Rp3Pi*jilG`zQ1^9 zd&WJN!qvUM2h4wVBk?zT%wcGrRf%gPhspK}*{jd3iKW<-Mhz zbkm;Jz24E((EQT%A^5qx^^4p6^!mY<-s@G~HeI{STp4wjAMU5ue)sP9FQ=@PCQccW z`rTF~ZEe-r^sde6)!(tBsSxAVhrl5)8`dvgmg`7Uu<*jv@|AY$IA<0((K-9zPVVV6fO)U(?c)+}!~ zJF}2FBb4U)2Rff_*VW$j_*1!XubWhAIi?QH z<^Ep>`j)u*y>ou}s&Wromg(fYaV$f6WOkD3Dwz&N{%}jb(wS-FKy%Iat&=wJR_^Hk zPek#R1V<+;(>|wDf%Q%I@9wG3{-(@x=3wNuZkhVr8|#3``?c943xpQkS%FHT zU9oX3^3h8H`8l~Q<{|sO+(S9KcXzOg%eQN8i8pB*lny)Y%NO?iA z4%E)tZD!jA4YdUgg9ZYNrX8XKUC4lP^Eg;=Q~X`&(BT!b#zBwMObDiWuN;$;vv$*Mu5gg6j3(enp&F%3Tz7YCap zC$z*S=_jPexDbe7*qGz0V;VZ@#4y+}ILMesVuOo}1Q5z}*L8CPhZp#e5b*l~JADoc zqX^0abmue@3i6y6CBg!XU?&zNhNv0?79bej%yf*0w=xYwxj6T948MVi(hPIM>0-zH#qk@bi36(*6$pvklLSz@{fVoyF@gi@JYDvGBHIBb~e=;#x? 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zh`bZF(iVdL7vsg}UJ#Yc%Z7XXn+&AGBWWc@hO~ce1d&VuS7TJ(S^ULThq|f|3JcU( z6@)^jt)ibok(U>k9fJ`HEN{GBeo=IQOkO(Op3Kk) TCfx@Kf*?djs;KO+HbMReV1sjm diff --git a/code/chap08mine.ipynb b/code/chap08mine.ipynb index 7ab9685d..72d448ad 100644 --- a/code/chap08mine.ipynb +++ b/code/chap08mine.ipynb @@ -15,7 +15,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 64, "metadata": { "collapsed": true }, @@ -50,7 +50,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 65, "metadata": {}, "outputs": [ { @@ -237,7 +237,7 @@ "182 90 7" ] }, - "execution_count": 3, + "execution_count": 65, "metadata": {}, "output_type": "execute_result" } @@ -256,14 +256,14 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 66, "metadata": {}, "outputs": [ { "data": { - "image/png": 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PCwvDvHnzAFQt4Wlrawtzc3ON8g4ODsJaz5aWlpDL5bC3t9c6r1Qq1VoGlIiIDK/WxJKV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\n4ccff0Rubi78/f2RmpqqUUa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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -285,14 +285,14 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 67, "metadata": {}, "outputs": [ { "data": { - "image/png": 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Ur+8+vIuM+xmwtbBVupUGgMWGiJo0jQqNn58f7OzsIJfLsWrVKowZMwY9evRQ\naiMQCGBtbQ0vLy9069ZNL2FNSbBHsKKQAMAtyS0AgJu9m1K7pMwkFhoiatI0KjTe3t7w9vYGUHUb\nbdiwYYop+Um96uKRlJmE3KJcmAnM0K1tNzjaKN9WzC1SvQVJRNSUaN29uXrBMwB4+PAhJBKJ2g4C\n7N5cVWyqC070mWilW2nVnO14noioadO60JSUlGDDhg3Yv38/CgoKamzHKWiUPXkrrVqQR5AB0hAR\nNR6tC83SpUvx3XffYdiwYejTpw/s7e31kavJefJWmrOdM4I8gvh8hoiaPK0LzfHjxzFx4kRER0fr\nI0+T9vittOpZA77840t2dSaiJk3rQgMA3bt313WOZqV61oBq7OpMRE2Z1kP4/f39kZaWpo8szQZn\nDSCi5kTrQjNnzhzcvHkTS5cuRUZGBgoLC7nwmZbUzRoAsKszETVNWt86CwwMBABcunQJe/furbEd\ne53V7MlZA6qxqzMRNUVc+MwA2NWZiJoTk1/47M6dOwgKCsKjR4+Qnp6OVq1aAaiacy0uLg67d+/G\ngwcP8Oyzz2LJkiVGMT0OuzoTUXNSr15n1bKyspCfn48uXbrAzs5OV5m08sknn8DGxgaPHj1S2h4f\nH4/Y2FgsXLgQIpEICQkJCA8Px5EjR4xidunHuzoDVT3Ros9Ec5E0Impy6rVwzIEDBzB48GCMHDkS\nYWFhuHjxIgAgPz8fAQEBOHLkiE5D1uT8+fNITU3FG2+8obS9pKQE8fHxiIiIQFhYGAYOHIh169ZB\nIBBg586djZJNG1wkjYiaMq0Lzffff49FixbB09MTixYtUprnzMHBAd27d8fBgwd1GlKdiooKLFu2\nDDNnzkSbNm2U9qWnp0MqlSI4OFixzcbGBkOHDkVqaqres2mL3Z2JqCnTutDExcXBz88PW7ZswZgx\nY1T2P/vss7hy5YpOwtVmz549KC0tRWhoqMo+sVgMc3NzdOzYUWm7u7s7xGKx3rNpi92diagp07rQ\nZGVlISAgoMb9bdq0wYMHDxoUqi4PHjzAunXrsHjxYlhYWKjsl0gksLGxgbm5udJ2e3t7yGQylJaW\n6jWftpzsnNRuZ3dnImoKtC40dnZ2KCwsrHG/WCxG27ZtGxSqLjExMfD29saQIUP0+nUaS7BHsNrt\n7O5MRE2B1oXG19cX+/btUzv6PysrC3v37sULL7ygi2xqXbt2DYmJiYiMjIREIoFEIoFMJgNQtShb\ncXExhEIhHj16hIqKCqX3FhYWwtraGpaWlnrLVx/9XPphqs9UuApdYSYwg6vQFVN9prLXGRE1CVp3\nb46KisKECRPw4osvwt/fHwK4B1XWAAAVjUlEQVSBAIcPH8ahQ4dw7NgxODg4KC2Opms3btxAWVkZ\nXn31VZV9gwcPxiuvvILRo0ejoqICN27cgEgkUuwXi8VKr43Jk92diYiaCq0LTfv27ZGYmIiYmBgc\nPnwYcrkciYmJaNWqFYKCgjB//nw89dRT+sgKAPDx8cHXX3+ttC01NRVbtmxBfHw83Nzc4OLiAltb\nWyQlJWHmzJkAAJlMhlOnTmHixIl6y0ZERKrqNWDT0dERK1aswIoVK5Cfn4/Kyko4ODjAzKxew3K0\n4uDggOeff15pW05O1bxhffv2VcwMEBERgdjYWNjb2ysGbFZWVmLy5Ml6z0hERP/VoJkBgKpf/MYo\nIiIClZWViIuLQ0FBAby8vJCQkKD3jgq6Ur0wGmcKICJTJ5A/PuJSA8uXL8fZs2eRnJysdv+IESPg\n7++Pd999VycBG1t2djYCAgKQkpICV1dXg2R4cmG0auwgQETGqrbfnVrf6zpz5ozSiPsnjRw5EidP\nntQ+JSlwpgAiakq0LjR5eXlwcXGpcb+zszPy8vIaFKq540wBRNSUaF1ohEIhsrKyatwvFosVD+Sp\nfjhTABE1JVoXGj8/P+zZs0ftfGYZGRnYs2cPfH19dRKuueJMAUTUlGjd62zu3LlITU3F+PHjERgY\nCA8PDwBVI/ZTUlLQunVrvP322zoP2pxwYTQiakrqNWDz22+/xZo1a3Dy5EkkJVU9oG7VqhVGjhyJ\nqKgotG/fXudBmxvOFEBETUW9xtG0a9cOn376KeRyOfLz8wFUjacRCAQ6DUdERKavQQM2BQKBXqeb\nIWXqBnEC0MnATg4QJSJ9aVChefjwISQSCdSN+XR2Zg8pXXpyEGeOJAcrUldAIBDA0cZRsa26jTZF\nQt2x63McIiJ1tC40JSUl2LBhA/bv34+CgoIa212+fLlBwUiZukGctyS3IMB/C021pMwkrQpEbQNE\nWWiIqKG0LjRLly7FgQMHEBgYiD59+sDe3l4fuegJ6gZxPip7pLattgM7OUCUiPRJ60Jz/PhxTJgw\nAdHR0frIQzVwsnNCjiRHaZuNhQ0EUO2Aoe3ATnXHrs9xiIjUqde8/t27d9d1DqqDukGcbkI3uNm7\nqWx/cmDn+ZzziD4TjRlHZiD6TDTO55yv89jqjkNEVB9aX9H4+/sjLS0NISEh+shjEgzRQ0vdIM6p\nPlNVtj05sFOTB/0cIEpE+qR1oZkzZw7mzJmDpUuXIiQkBE5OTjA3N1dpZ2trq5OAxsaQPbRqGsRZ\n29fV9EE/B4gSkb5oXWgCAwMBAJcuXcLevXtrbNdUe52ZWg8tPugnIkPTutBERkY26xkATO0XNx/0\nE5GhaV1oZs+erY8cJsPUfnEHewSrXa2TD/qJqLHUq9dZteq5zvLz89XODtAUmVoPrX4u/TDVZypc\nha4wE5jBVejKJaGJqFHVawoasViMzz//HOfOnYNMJgMAWFtbw8/PD3PnzoVIJNJpSGNiij20+KCf\niAxJ60KTkZGB0NBQlJWVYdiwYejUqRMAICsrCydOnMC5c+ewa9cudO3aVedhjQV/cdeMk3MS0ZO0\nLjRr1qyBUCjEzp074eLiorQvNzcXoaGh+Oyzz7BlyxadhXzcsWPHcPDgQfz111+QSqXo1KkT3njj\nDYwePVqp3TfffIOtW7fi9u3b6Ny5M9555x0MGDBAL5moCifnJCJ1tH5Gk56ejkmTJqkUGaBqxuaQ\nkBD8/vvvOgmnzvbt29GqVSssXrwYsbGxeP755zF//nzs2LFD0ebIkSP48MMP8dJLL2HLli3w8PDA\nW2+9hatXr+otF9Xe9ZuImq8GLROgjr67Pm/atAkODg6K1wMGDMDdu3eRkJCAyZMnAwDWr1+PsWPH\nIjIyEgDw3HPP4fLly4iPj8eaNWv0mq85M7Wu30TUOLS+ounduzd2796NvLw8lX15eXnYvXs3evfu\nrZNw6jxeZKp169YNd+/eBQDcunULf//9N4KD/9s7zMzMDCNGjEBqaqreclFV1291jLXrNxE1Dq2v\naKKiohAWFoagoCAMHz4cHTt2BFDVGeD48eMwMzPDggULdJ2zVhcuXFB0ShCLxQCg0vPN3d0dBQUF\nyM/PV1usqOE4ZoeI1NG60PTo0QP79u1DTEwMjh8/rtS92dfXF2+//TY8PDx0HrQmP//8M06cOIEV\nK1YAAAoLCwEAQqFQqV31ujmFhYUsNHpiil2/iUj/6vWMxsPDAxs3bkRlZSXy8/MBVN3SMjNr0PhP\nrWVnZ2P+/PkICAjAyy+/3Khfm9Rj128iepJGlaGsrAxr1qxRmUTTzMwMbdu2Rdu2bWFmZoa9e/fi\ns88+Q0VFhV7CPq6goADTpk2Ds7Oz0gP+6iuXoqIipfbVVzpcEZSIqHFpVGj279+P7du3o2/fvrW2\n69u3LxISEpCYmKiTcDWRyWSYPn06ysrKEBcXB2tra8W+6mcz1c9qqonFYrRu3Zq3zYiIGplGheb7\n779HYGAg3N3da23n7u6O4cOH49ChQzoJp055eTnmzp2Lv//+G1u3bsVTTz2ltN/NzQ0dO3ZEUtJ/\nx25UVlYiKSkJfn5+estFRETqaVRoMjIy0K+fZvfd+/Tpg4yMjAaFqs1HH32EM2fOYObMmSgoKMCF\nCxcU/0pLSwFUzTCdmJiI2NhYpKWl4b333sONGzcQERGht1xERKSeRp0BSkpK0LJlS40O2LJlS5SU\nlDQoVG1+/PFHAMDy5ctV9qWkpMDV1RWjR4/Go0ePsGXLFsTGxqJz586Ii4tDly5d9JaLdEdX86Vx\n3jUi46BRoXn66aeRmZmp0QEzMzPh6OjYoFC1OXnypEbtJk6ciIkTJ+otB+mHruZL47xrRMZDo1tn\nAwcOxIEDB/DgwYNa2+Xn5+PAgQMYOHCgTsJR86Or+dI47xqR8dCo0EybNg0ymQxTpkzBn3/+qbbN\nn3/+ifDwcMhkMrz55ps6DUnNh67mS+O8a0TGQ6NbZx06dEBMTAzmz5+PV199FR06dEDnzp3RqlUr\nPHz4ENeuXcPNmzdhZWWFzz77TDEtDZG2dLVUtqktuU3UlGk8lN/f3x+HDh3ChAkTIJPJcOLECRw8\neBAnTpzAo0ePMGHCBBw8eBCBgYH6zEtNnK6Wyja1JbeJmjKtpqBxc3NDdHQ0AEAqleLhw4do1aoV\nbG1t9RKOmh9dzZfGedeIjEe916OxtbVtNgWG3WQbl67mS9PVcZriz78pfk9kvHS+8FlTw26yzVtT\n/Pk3xe+JjBsLTR1q6ybL/ymbPl39/I3pCoKfaWpsLDR1YDfZ5k0XP39ju4LgZ5oaW+MuIGOCuDxx\n86aLn7+xDR7lZ5oaG69o6sDliZs3Xfz8dXkFoYtbcPxM18yYbnEaY576YqGpA7vJNm+6+PnravCo\nrm7B8TOtnrHd4jS2PA3BQqMBLk/cvDX056+rKwhdPsQ3ps+0sfzVbmydJIwtT0N+Tiw0RHqmqyuI\npvgQ35j+aje282tMeRr6c2K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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -314,7 +314,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 68, "metadata": {}, "outputs": [ { @@ -326,9 +326,9 @@ }, { "data": { - "image/png": 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vhlAohIeHh8YpkYmIiMg0tSgkpKamYujQoVi/fj0sLCy0VRMREREZgRaNSaiq\nqsJLL73EgEBERNQKtSgkDB8+HKdPn9ZWLURERGREWhQS5s+fj4sXL2LZsmXIz89HRUUFZDKZ2h8i\nIiIyPS0ak1B/2+f8/Hykp6c/tt/58+db8jRERERkAC0KCbNnz27SvRnI+PAOkURE1JgWhYSYmBht\n1UF6xDtEEhFRU7RoTAKZpifdIZKIiKgeQ8IzqLRUczvvEElERA0xJDyDnJ01t/MOkURE1BBDwjOI\nd4gkIqKmaNHARTJN9YMTMzPrTjG4uNQFhCcNWuTVEEREzx6GhGdUc+4QyashiIieTTzdQI3i1RBE\nRM8mhgRqFK+GICJ6NjEkUKN4NQQR0bOJIYEaxashiIieTUYzcPHq1avYvHkzfv/9dxQUFMDX1xdp\naWkqfcRiMYqLi1XaOnbsiOPHj6u0FRQU4NNPP0VeXh5sbW0xadIkzJkzB2ZmZjrfj9boaa6GICIi\n02c0IeHSpUvIzs6Gl5cXHj58+Nh+48aNQ3h4uHLZ3NxcZX1FRQUiIyPh7u6OxMREXLt2DStXrkRt\nbS3mz5+vs/pbu+ZcDUFERK2D0YQEsViMUaNGAQDmzp2Lu3fvauzXqVMneHt7P3Y7GRkZuH//PhIS\nEmBjY4Nhw4ZBJpMhISEBUVFRsLGx0Un9RERErY3RjElo00Y7peTk5MDf318lDISEhKCqqgqnTp3S\nynMQERE9C4wmJDTVt99+i759+2LAgAGYO3eu2hgFiUQCkUik0ubi4gIrKytIJBJ9lkpERGTSjOZ0\nQ1OIxWJ4e3vDyckJly9fRkJCAsLCwrBnzx7Y2toCAKRSqfLfDQmFQkilUn2XTEREZLJMKiTExcUp\n/+3r64v+/ftj/Pjx2LFjByIjIw1XGBERUStkcqcbGurZsyfc3Nxw7tw5ZZtQKIRMJlPrK5VKIRQK\n9VkeERGRSTPpkAAAAoEAAoFAuSwSidTGHpSWlkIul6uNVSAiIqLHM6nTDY+6ePEiJBIJJk+erGwb\nPnw4Nm/eDJlMprzCYd++fbC0tMTAgQMNVeozh7eWJiIyfUYTEuRyObKzswEAN27cgEwmQ+b/3WYw\nMDAQJ0+exO7duzFixAh06tQJEokE69evh7OzMyZOnKjcTmhoKNLS0hATE4OoqCgUFhYiISEBkZGR\nnCNBT3hraSKi1sFoQkJZWRliY2NV2uqXDx48CCcnJ5SVlWH58uWorKxE+/btERAQgPnz56t8+dvZ\n2SE1NRXx8fGYOXMmhEIhIiIiEBMTo9f9eZY96dbSDAlERKbDaEKCq6srLly48MQ+W7ZsadK23N3d\nsXXrVm2URU+Bt5YmImodTH4wnAIXAAAgAElEQVTgIhkf3lqaiKh1YEggreOtpYmIWgejOd1ArQdv\nLU1E1DowJJBO8NbSRESmj6cbiIiISCOGBCIiItKIIYGIiIg0YkggIiIijThwkUwO7wtBRKQfDAlk\nUnhfCCIi/eHpBjIpT7ovBBERaRdDApkU3heCiEh/GBLIpPC+EERE+sOQQCaF94UgItIfDlwkk8L7\nQhAR6Q9DApkc3heCiEg/eLqBiIiINGJIICIiIo0YEoiIiEgjhgQiIiLSiCGBiIiINOLVDUSP4A2k\niIjqGM2RhKtXr2Lp0qV45ZVX0Lt3b4SHh6v1USgUSEpKQmBgIPr164ewsDCcP39erV9BQQEiIiLg\n5eUFf39/rF27FjU1NfrYDTJx9TeQKi4Gamv/voFUbq6hKyMi0j+jCQmXLl1CdnY23Nzc0L17d419\nNmzYgMTERERFRSEpKQnW1taIjIzErVu3lH0qKioQGRkJgUCAxMREzJ49GykpKfjyyy/1tCdkyngD\nKSKivxnN6QaxWIxRo0YBAObOnYu7d++qrL9//z42bNiA6OhoTJ06FQDg7e0NsViMbdu2Yf78+QCA\njIwM3L9/HwkJCbCxscGwYcMgk8mQkJCAqKgo2NjY6HfHyKTwBlJERH8zmiMJbdo8uZTTp09DJpMh\nuMHk/dbW1hg5ciSOHj2qbMvJyYG/v79KGAgJCUFVVRVOnTql/cKpVeENpIiI/mY0IaExEokEZmZm\naqcievToAYlEotJPJBKp9HFxcYGVlZVKPyJNeAMpIqK/Gc3phsZIpVJYW1vDzMxMpd3Ozg5yuRzV\n1dWwsLCAVCqFra2t2uOFQiGkUqm+yiUTxRtIERH9zWRCApG+8AZSRER1TOZ0g1AoxL1799QuZayo\nqICVlRUsLCyU/WQymdrjpVIphEKhXmolIiJqDUzmSIJIJEJNTQ2uXr2qMubg0TEIIpFIbexBaWkp\n5HK52liF5uAEO6QtfC8RkakwmSMJPj4+sLGxQWaDC9blcjkOHz6MgIAAZdvw4cNx7NgxlaMJ+/bt\ng6WlJQYOHPhUz80Jdkhb+F4iIlNiNEcS5HI5srOzAQA3btyATCZTBoLAwEBYWVkhOjoaiYmJsLOz\ng0gkQkpKCmpra1VmZwwNDUVaWhpiYmIQFRWFwsJCJCQkIDIy8qnnSHjSBDv8DZCag+8lItIXbRy1\nNJqQUFZWhtjYWJW2+uWDBw/C1dUV0dHRqK2tRXJyMsrLy9G3b1+kpKSgY8eOysfY2dkhNTUV8fHx\nmDlzJoRCISIiIhATE/PUtXGCHdIWvpeISB/qj1rWqz9qCTQvKBhNSHB1dcWFCxee2EcgEODdd9/F\nu++++8R+7u7u2Lp1q9Zqc3au+w9+FCfYoebie4mI9EFbRy1NZkyCIXGCHdIWvpeITEduLhAfD7z7\nbt3fpjR2SFtHLY3mSIIx4wQ7pC26fi/xygki7dDW4XpD0dZRS4aEJuIEO6QtunovmfqHGgPO45ny\n/42p1m7qg4yDg1U/D+o196glQwJRK2HKH2r6CDim+mVlyuHPlGs39UHG2jpqyZBA1EqY8oeargOO\nKX9ZmXL4M+XaW8MgY20cteTARaJWwpRvc63rgPOkLytjZ8rhz5Rr5yDjOjySQNRKaOsc5JPo6pC9\nrn9rM+UvK1P+jdaUa+eA9ToMCUSthD6unNDVIXtdBxxT/rLSR/jTFVOuHeCAdYAhgahV0eWHmi7P\nL+s64Jjyl5Up/0ZryrVTHYYEImoSXR+y12XAMfUvK1P+jdaUayeGBCJqIlM+ZA/wy4roafDqBiJq\nEo72Jnr28EhCAzU1NQCA69evG7gSIuPj7Ay89hqQnQ3cuAE8/zwQGFjXXlRk6OqI6GnUf9/Vf/89\niiGhgVu3bgEAwsLCDFwJkWn4/ntDV0BE2nDr1i1069ZNrV2gUCgUBqjHKFVVVeHMmTNwdHSEmZmZ\nocshIiLSqZqaGty6dQt9+/aFpaWl2nqGBCIiItKIAxeJiIhII4YEIiIi0oghgYiIiDRiSCAiIiKN\neAlkExUUFODTTz9FXl4ebG1tMWnSJMyZM8ekr4LYv38/du3ahbNnz0Imk8HNzQ1vv/02xo0bp+wT\nHh6OU6dOqT32jz/+QLt27fRZbovs3LkTH3zwgVr7P//5T0yZMgUAoFAokJycjK+//hp3796Fp6cn\n4uLi0Lt3b32X2yKPe80AICMjA/3794dYLEbxI9MnduzYEcePH9dHiU/t6tWr2Lx5M37//XcUFBTA\n19cXaWlpKn2a+joa+890Y/t68+ZNpKSk4Pjx4ygsLIRQKMTgwYOxYMECPP/888p+J0+exLRp09S2\nHxUVhUWLFullXxrTlNe1qe9ZU39dH/d6AYC/vz82b94MoGmfadrAkNAEFRUViIyMhLu7OxITE3Ht\n2jWsXLkStbW1mD9/vqHLe2qpqalwdXXFBx98AHt7e+Tk5GDhwoW4e/cuwsPDlf0GDRqEBQsWqDzW\nwsJC3+VqxZYtW1Qu8+nSpYvy3xs2bEBiYiIWL14MkUiElJQUREZG4ocffoCjo6Mhyn0qH3/8MWQy\nmUrbl19+iXPnzsHT01PZNm7cOJXX2dzcXG81Pq1Lly4hOzsbXl5eePjwocY+TXkdTeFnurF9PXv2\nLA4cOIBJkyahX79+KCsrw7p16zBlyhTs2bMHzz33nEr/VatWqbzfGwYJQ2vK6wo0/p5tDa/riy++\niG+++UalraSkBPPnz0dAQIBa/yd9pmmFghqVlJSk8PX1VVRWVirbNmzYoOjXr59Km6kpKytTa1uw\nYIFi5MiRyuWpU6cqYmJi9FmWTuzYsUPRs2dPhUwm07i+qqpK4ePjo1i3bp2y7a+//lIMGjRIsXr1\nan2VqRP3799X+Pn5KZYuXapsGzlypGLFihUGrOrp1NTUKP8dExOjmDp1qsr6pr6OpvAz3di+VlRU\nKB48eKDSJpFIFD179lTs3LlT2XbixAlFz549FRcuXNBtwS3Q2L4qFE17z7aG11WTjRs3Knr16qW4\nfv26sq2xzzRt4ZiEJsjJyYG/vz9sbGyUbSEhIaiqqnrsYV1T4ODgoNbWu3dv3Lx50wDVGNbp06ch\nk8kQ3OAGBdbW1hg5ciSOHj1qwMpa7ujRo6ioqFA5jWSq2rR58kdWU19HU/iZbmxfhUIh2rZVPRjs\n5uYGKysrk/sZbmxfm6o1vK6a7N27F35+fgY5+sOQ0AQSiQQikUilzcXFBVZWVpBIJAaqSjfy8vLg\n5uam0nbs2DF4eXnBy8sL06dPR35+voGqa7mXXnoJffr0wejRo5GRkaFsl0gkMDMzQ/fu3VX69+jR\nw+Rf43379sHJyQm+vr4q7d9++y369u2LAQMGYO7cuWrne01RU1/H1voznZ+fD7lcrrb/ABAREYHe\nvXtDLBYjMTHxsXP1G7PG3rOt8XX9888/ce7cuceG/Md9pmkLxyQ0gVQqha2trVq7UCiEVCo1QEW6\n8csvv+DAgQNYvny5ss3Pzw/jx49Ht27dUFxcjKSkJISFhWHXrl1wdXU1YLXN4+joiNjYWPTr1w81\nNTXYt28fPv74Y1RVVSEyMhJSqRTW1tZqg5vs7Owgl8tRXV1tkuMw5HI5Dh06hDfffBMCgUDZLhaL\n4e3tDScnJ1y+fBkJCQkICwvDnj17NL7XTUVTX8fW+DNdW1uLzz77DN27d4dYLFa229raIjo6Gr6+\nvjA3N8fhw4exbt063LlzB3FxcQasuHma8p5tja/r3r17YW5ujpdfflmlvbHPNG1hSCAAQFFRERYu\nXIigoCBMnDhR2T537lzlv319fTF06FAEBwdjy5Yt+OijjwxR6lMJCAhQGfQTGBiI+/fvY/369Y8d\nSdwaHD58GPfu3UNISIhKe8MvB19fX/Tv3x/jx4/Hjh07tPoBQ/rzxRdfIC8vD9u2bVMZ0NenTx/0\n6dNHuTx06FBYWFggNTUVs2bN0nja0Rg9q+/Zffv2YdiwYWjfvr1Ke2Ofado6hcPTDU0gFArVRosD\ndalVKBQaoCLtKi8vR1RUFFxcXLBq1aon9nV0dISPjw/OnTunp+p0Z/To0SgvL0dxcTGEQiHu3bun\ndgi2oqICVlZWJnkUAaj7LaRbt24qVzVo0rNnT7i5uZn869rU17G1/Uynp6dj8+bNWLlyJby8vBrt\nP3r0aDx8+BAXLlzQQ3W6oek929pe1/z8fFy+fFkt5D9Ow880bWFIaAKRSKR2Pqu0tBRyuVzt/Jep\nkcvlmDlzJh48eIDk5GRYWVk1+hiBQKBy6NpUNdwHkUiEmpoaXL16VaWPpnOcpqKyshI5OTlN/oBp\nDa9rU1/H1vQznZWVhWXLluG9997D2LFjm/SY+tfZ1F/vR9+zrel1BepCvqWlJYKCgprUXxevJ0NC\nEwwfPhzHjh1TSaj79u2DpaUlBg4caMDKWubhw4eIjY3FlStXsGnTJnTo0KHRx9y6dQu//fYbXnzx\nRT1UqFtZWVmwt7dH586d4ePjAxsbG2RmZirXy+VyHD58WOO1yabgp59+QnV1dZOuarh48SIkEonJ\nv65NfR1by8/0yZMnsWjRIkydOhXTp09v8uOysrLQtm1beHh46LA63dL0nm0tr2u9vXv3YuTIkWpz\nXjxOw880beGYhCYIDQ1FWloaYmJiEBUVhcLCQiQkJCAyMlLlUhtT88knnyA7OxsfffQRysvLkZeX\np1zXp08fSCQSrF69GmPGjIGLiwtKS0uRnJyMNm3aICIiwoCVN19MTAw8PT3h4eGB2tpa7Nu3D/v2\n7UNcXBzatGmDdu3aITo6GomJibCzs1NOwlNbW6syeYsp2bt3L3r16oUePXqotB85cgS7d+/GiBEj\n0KlTJ0gkEqxfvx7Ozs4q41GMkVwuR3Z2NgDgxo0bkMlkykAQGBgIKyurJr2OpvAz3di+lpSUYPbs\n2RCJRBg7dqzKz6+DgwO6du0KoG5yLQcHB3h6esLc3BzZ2dlIT09HREQE7O3t9b9jGjS2rydPnmzS\ne7Y1vK71R3Pz8vJQXFyMDz/8UON2GvtM0xaBQqFQaG1rrVhBQQHi4+ORl5cHoVCIN954AzExMUYz\n1efT0DTNab2DBw/C3NwccXFxOH/+PMrLy/Hcc89h4MCBmDdvntoXj7FbvXo1srKycP36dSgUCri7\nu2PatGkYP368so9CoUBSUhK+/vprlJeXo2/fvoiLi1MZ9GUq7ty5g4CAAMTGxiI6OlplXX5+Pj7/\n/HNcuHABlZWVaN++PQICAjB//nyjmoVPk6Kiosceej148CBcXV2b/Doa+890Y/t66tQpjdPyAsCE\nCROwYsUKAMDWrVuxfft2FBUV4cGDB+jWrRsmTZqEiIgIoznd0Ni+ymSyJr9nTf11rb9q7LPPPsN3\n332Hn3/+WeOYqKZ8pmkDQwIRERFpxDEJREREpBFDAhEREWnEkEBEREQaMSQQERGRRgwJREREpBFD\nAhEREWnEkEBEREQaMSQQERGRRgwJREREpBFDAhEREWnEkEBEREQaMSQQERGRRgwJREREpBFDAhER\nEWnEkEBEREQaMSQQERGRRgwJREREpBFDAhEREWnU1tAFGJOqqiqcOXMGjo6OMDMzM3Q5REREOlVT\nU4Nbt26hb9++sLS0VFvPkNDAmTNnEBYWZugyiIiI9Co9PR2+vr5q7QwJDTg6OgKo+89ycnJ6qm38\nceMPHLlyBDf/uolOz3XCiO4j0O/5ftosk4iISCuuX7+OsLAw5fffoxgSGqg/xeDk5ARXV9dmPz63\nOBe7SnYBFkA7i3aoQAV2leyCo5Mj/Dr7abtcIiIirXjcKXYOXNSi/QX7NbZnFmTquRIiIqKWY0jQ\notLKUo3tJZUleq6EiIio5RgStMjZ1llju4uti54rISIiajmjCQlXr17F0qVL8corr6B3794IDw9X\nWX/z5k2sXLkSr776Kvr374/AwEC8//77uHHjhkq/kydPwsPDQ+3PqlWrdL4Pwe7BGtvHuI/R+XMT\nERFpm9EMXLx06RKys7Ph5eWFhw8fqq0/e/YsDhw4gEmTJqFfv34oKyvDunXrMGXKFOzZswfPPfec\nSv9Vq1ahS5cuyuXnn39e5/tQPzgxsyATJZUlcLF1wRj3MRy0SEREJsloQoJYLMaoUaMAAHPnzsXd\nu3dV1g8YMAD79+9H27Z/l9ynTx+MGTMGP/74IyZMmKDS38PDAz179tR94Y/w6+zHUEBERK2C0YSE\nNm2efOZDKBSqtbm5ucHKygo3b97UVVlERETPLKMZk/A08vPzIZfL0b17d7V1ERER6N27N8RiMRIT\nE1FTU6P/AomIiEyY0RxJaK7a2lp89tln6N69O8RisbLd1tYW0dHR8PX1hbm5OQ4fPox169bhzp07\niIuLM2DFREREpsVkQ8IXX3yBvLw8bNu2Debm5sr2Pn36oE+fPsrloUOHwsLCAqmpqZg1axYcHBwM\nUS4REZHJMcnTDenp6di8eTNWrlwJLy+vRvuPHj0aDx8+xIULF/RQHRERUetgciEhKysLy5Ytw3vv\nvYexY8c26TECgUDlbyIiIk3+8Y9/YOLEiXp/3p07d8LDwwN//fUXAKCoqAgeHh44fPiw3mtpyKRO\nN5w8eRKLFi3C1KlTMX369CY/LisrC23btoWHh4cOqyMiIlM3a9YsVFVVGboMdOrUCd988w1EIpFB\n6zCakCCXy5GdnQ0AuHHjBmQyGTIz626MFBgYiJKSEsyePRsikQhjx45FXl6e8rEODg7o2rUrAODj\njz+Gg4MDPD09YW5ujuzsbKSnpyMiIgL29vb63zEiIjIZ9d8lhmZhYQFvb29Dl2E8IaGsrAyxsbEq\nbfXLBw8exP/7f/8PlZWVyM/PR2hoqEq/CRMmYMWKFQCAHj16YPv27UhNTcWDBw/QrVs3vP/++4iI\niNDPjhARUYvkFudif8F+lFaWwtnWGcHuwXqbpO4f//gHLl68iJ07d2Lnzp344IMPsHv3bqxYsQK/\n//47nJycsGDBArz88svKx/z6669YvXo18vPzAQBdunTBzJkzERxcN1W/h4cHlixZgqlTpyofs27d\nOmzbtg0nT57UWEdRURGCgoKQlJSEkSNHAqibdHD06NF4/vnn8b//+7+Qy+Xw9/fHJ598onEuIW0w\nmpDg6ur6xIGFrq6uTTpPNG3aNEybNk2bpRERkZ7kFudi0+lNyuViabFy2VCz2S5atAiTJ0/G9OnT\nsW3bNixYsAAHDhyAk5MTZDIZZs6ciaCgIMyePRsKhQIXL15EZWWlTmrZv38/PDw88Omnn+L69etY\nsWIFVq9ejX/+8586eT6jCQlERET7C/ZrbM8syDRYSIiIiMAbb7wBAHjxxRcxbNgwHD58GFOmTMGf\nf/6JyspKLFmyBDY2NgAAf39/ndXStm1bfPXVV8pbFBQUFGDfvn06Cwkmd3UDERG1XqWVpRrbSypL\n9FzJ3xp+6dvb28PBwQHXr18HUDeGwdraGosWLcKBAwcglUp1WsugQYNU7mHk7u6OsrIyPHjwQCfP\nx5BARERGw9nWWWO7i62Lniv5m62trcqyhYUFqqurAQB2dnZISUnBgwcPMG/ePAwZMgTR0dEoLCzU\nSS2Pjj0wNzeHQqFQ1qNtDAlERGQ0gt2DNbaPcR+j50qaztvbG5s3b8avv/6KdevW4cqVK1i4cKFy\nvYWFhdpv+hUVFfou86lwTAIRERmN+nEHmQWZKKksgYutC8a4jzHYeITmsLS0hFgsxqVLl5CcnKxs\nd3JywuXLl5XLtbW1OHHihCFKbDaGBCIiMip+nf1MIhQAwJEjR7Bjxw4EBQXBxcUFN27cwDfffIPB\ngwcr+4waNQr/+te/0Lt3b3Tp0gXffvstZDKZAatuOoYEIiKip9S1a1cIBAKsWbMGZWVlcHBwwIgR\nI7BgwQJlnzlz5uDOnTtYu3YtzM3NERYWBnd3d6Snpxuw8qYRKBQKhaGLMBb1k1ccPHgQrq6uhi6H\niIhIpxr73uPARSIiItKIIYGIiIg0YkggIiIijRgSiIiISCOGBCIiItKIIYGIiIg0YkggIiIijRgS\niIiISCOGBCIiItKIIYGIiIg0YkggIiIijRgSiIiISCOGBCIiItKIIYGIiIg0YkggIiIijRgSiIiI\nSCOGBCIiItKIIYGIiIg0MpqQcPXqVSxduhSvvPIKevfujfDwcLU+CoUCSUlJCAwMRL9+/RAWFobz\n58+r9SsoKEBERAS8vLzg7++PtWvXoqamRh+7QURE1GoYTUi4dOkSsrOz4ebmhu7du2vss2HDBiQm\nJiIqKgpJSUmwtrZGZGQkbt26pexTUVGByMhICAQCJCYmYvbs2UhJScGXX36ppz0hIiJqHdoauoB6\nYrEYo0aNAgDMnTsXd+/eVVl///59bNiwAdHR0Zg6dSoAwNvbG2KxGNu2bcP8+fMBABkZGbh//z4S\nEhJgY2ODYcOGQSaTISEhAVFRUbCxsdHvjhEREZkoozmS0KbNk0s5ffo0ZDIZgoODlW3W1tYYOXIk\njh49qmzLycmBv7+/ShgICQlBVVUVTp06pf3CiYiIWimjCQmNkUgkMDMzUzsV0aNHD0gkEpV+IpFI\npY+LiwusrKxU+hEREdGTmUxIkEqlsLa2hpmZmUq7nZ0d5HI5qqurlf1sbW3VHi8UCiGVSvVSKxER\nUWtgMiGBiIiI9MtkQoJQKMS9e/fULmWsqKiAlZUVLCwslP1kMpna46VSKYRCoV5qJSIiag1MJiSI\nRCLU1NTg6tWrKu2PjkEQiURqYw9KS0shl8vVxioQERHR45lMSPDx8YGNjQ0yMzOVbXK5HIcPH0ZA\nQICybfjw4Th27JjK0YR9+/bB0tISAwcO1GvNREREpsxo5kmQy+XIzs4GANy4cQMymUwZCAIDA2Fl\nZYXo6GgkJibCzs4OIpEIKSkpqK2tVZmdMTQ0FGlpaYiJiUFUVBQKCwuRkJCAyMhIzpFARETUDEYT\nEsrKyhAbG6vSVr988OBBuLq6Ijo6GrW1tUhOTkZ5eTn69u2LlJQUdOzYUfkYOzs7pKamIj4+HjNn\nzoRQKERERARiYmL0uj9ERESmTqBQKBSGLsJYFBUVISgoSBlKiIiIWrPGvvdMZkwCERER6RdDAhER\nEWnEkEBEREQaMSQQERGRRgwJREREpBFDAhEREWnEkEBEREQaMSQQERGRRgwJREREpBFDAhEREWnE\nkEBEREQaMSQQERGRRkZzF8jWLLc4F/sL9qO0shTOts4Idg+GX2c/Q5dFRET0RAwJOpZbnItNpzcp\nl4ulxcplBgUiIjJmPN2gY/sL9mtszyzI1HMlREREzaPVkFBTUwO5XK7NTZq80spSje0llSV6roSI\niKh5tBoSNmzYAB8fH21u0uQ52zprbHexddFzJURERM3D0w06FuwerLF9jPsYPVdCRETUPBy4qGP1\ngxMzCzJRUlkCF1sXjHEfw0GLRERk9BgS9MCvsx9DARERmRyebiAiIiKNGj2SkJ+f3+SN3b59u0XF\nEBERkfFoNCSMHz8eAoGgSRtTKBRN7ktERETGrdGQ8Pnnn+ujDiIiIjIyjYaECRMm6KMOIiIiMjIm\ndXVDeHg4Tp06pXFdRkYG+vfvD7FYjOLiYpV1HTt2xPHjx/VRIhERUavR7JBQUlKCXbt2oaioCFKp\nFAqFQmW9QCDAunXrtFZgQx9//DFkMplK25dffolz587B09NT2TZu3DiEh4crl83NzXVSDxERUWvW\nrJCwe/dufPjhh3j48CGEQiFsbGzU+uhy4KK7u7vKcnV1Nc6cOYPg4GC0bfv3rnTq1Ane3t46q4OI\niOhZ0KyQsGbNGohEIqxduxZubm66qqnJjh49ioqKCowbN87QpRAREbU6zZpMqby8HKGhoUYREABg\n3759cHJygq+vr0r7t99+i759+2LAgAGYO3eu2hgFIiIialyzjiT4+PigsLBQV7U0i1wux6FDh/Dm\nm2+qnOIQi8Xw9vaGk5MTLl++jISEBISFhWHPnj2wtbU1YMVERESmpVlHEuLi4pCVlYWdO3eipqZG\nVzU1yeHDh3Hv3j2EhISotMfFxWHcuHHw9fXFm2++ic2bN+PmzZvYsWOHgSolIiIyTc06kuDm5oZ3\n3nkHcXFxWLp0KRwdHdGmjWrOEAgEOHDggFaL1GTv3r3o1q2bylUNmvTs2RNubm44d+6czmsiIiJq\nTZoVEjZu3IjVq1dDKBTCw8PDYIfvKysrkZOTgxkzZjSpv0Ag4HTRREREzdSskJCamoqhQ4di/fr1\nsLCw0FVNjfrpp59QXV3dpKsaLl68CIlEgsmTJ+uhMiIiotajWSGhqqoKL730kkEDAlB3qqFXr17o\n0aOHSvuRI0ewe/dujBgxAp06dYJEIsH69evh7OyMiRMnGqhaIiIi09SskDB8+HCcPn0aoaGhuqqn\nUXfu3MGJEycQGxurts7JyQllZWVYvnw5Kisr0b59ewQEBGD+/PkaJ34iIiKix2tWSJg/fz7mzp2L\nZcuW4Y033oCzszPMzMzU+unyC9nBwQFnz57VuK5Xr17YsmWLzp6biIjoWdKskPDyyy8DAPLz85Ge\nnv7YfufPn29ZVURERGRwzQoJs2fP5lUCREREz4hmhYSYmBhd1UFERERGptEZF//1r3+hpKREH7UQ\nERGREWk0JKxZswZBQUEICQnBypUrceLECTx8+FAftREREZEBNXq64cSJE/jtt9+Qk5OD7OxspKSk\nwMbGBkOGDEFgYCCGDx+OTp066aNWIiIi0iOBQqFQNOcB169fx5EjR5CTk4NffvkFVVVV8PDwQGBg\nIAIDA9G/f3+THdxYVFSEoKAgHDx4EK6uroYuh4iISKca+95r1sBFoG7CotDQUISGhuLBgwc4deoU\ncnJykJWVheTkZNjZ2WHYsGGIiIiAl5eXVnaCiIiI9K/ZIaEhc3NzDBs2DMOGDcMHH3yAwsJC5VGG\n3NxchgQiIiIT1qKQ8MBiaXUAABwpSURBVKguXbogPDwc4eHh2twsERERGUCjIeHzzz9/7DqBQIB2\n7drBxcUF/v7+6Ny5s1aLIyIiIsNpNCQ09V4IZmZm+K//+i8sWrSoxUURERGR4TUaEvLz85+4vqqq\nCn/++SfS09OxefNmdOvWDZMmTdJagURERGQYjU6m1BhLS0v07t0by5Ytw5AhQ5CRkaGNuoiIiMjA\nWhwSGho+fDgkEok2N0lEREQGotWQ0KZNGzRzbiYiIiIyUloNCb/88gu6d++uzU0SERGRgWglJJSU\nlOC///u/ceTIEUycOFEbmyQiIiIDa/TqBj8/vyfei+H+/fuorq6GQqHAhAkTMG3aNK0WSERERIbR\naEgICgp6YkiwsLCAi4sLhg8fjt69e2u1OCIiIjKcRkPCihUr9FEHERERGZlm3bth7ty56NWrF3r2\n7AkPDw906dJFZf2FCxdgZWWFrl27arVIIiIi0r9mhYRr167hyJEjqK6uhkAggKWlJV544QV4eHjg\nhRdewO+//47//Oc/OHDggK7qJSIiIj1pVkj4/vvvUVNTgz///BMXL17EhQsXkJ+fj71790IulwMA\nnJ2ddVIoERER6VezbxVtZmYGd3d3uLu7Y+zYsQCA6upqbNy4EVu3bkVycrLWiyQiIiL908o8CRYW\nFpg9ezYGDx6M1atXa2OTREREZGBanXFxwIABOHHihDY3qWLnzp3w8PBQ+/P1118r+ygUCiQlJSEw\nMBD9+vVDWFgYzp8/r7OaiIiIWqtmnW5YsmSJytUNQqFQZf21a9fQoUMHrRaoyZYtW2BpaalcbniV\nxYYNG5CYmIjFixdDJBIhJSUFkZGR+OGHH+Do6Kjz2poitzgX+wv2o7SyFM62zgh2D4ZfZz9Dl0VE\nRKSiWSHh6NGj2L59OwBAIBDg+eefR69eveDm5oaysjIcPnwYq1at0kmhDXl6euK5555Ta79//z42\nbNiA6OhoTJ06FQDg7e0NsViMbdu2Yf78+TqvrTG5xbnYdHqTcrlYWqxcZlAgIiJj0qyQcOTIEchk\nMly8eBGXLl3CxYsXcfHiRXz//fe4e/cuAGD27Nno1q0bevToAZFIBHd3d4wbN04nxT/q9OnTkMlk\nCA4OVrZZW1tj5MiROHr0qFGEhP0F+zW2ZxZkMiQQEZFRafbVDTY2NvDx8YGPj49K++3bt5WhoT5A\nHD16FFVVVVoPCS+99BLKy8vRpUsX/Nd//Rf+f3t3HxTVdf4B/AsIiMoiBKIQlIAMRORFCWokEiNO\nikTboI0THECoBqpRJIBpa2Vq1JLGxpKZahGiRq3JxI5VS4kgrYZARKtOzNaqxRQ3GllBGHV5iYu8\n7P7+cNgf617YFffucpfvZyYzcvbe3efm3Lv77D3nOZuYmAgAUCgUcHBwMPglykmTJqG8XPjD2dIa\n2hoE2+WNcmyu2swhCCIiGjIeO0noj6enJzw9PREdHa3XfvPmTXO9BLy8vJCVlYXw8HD09PSgrKwM\nGzduREdHB9LS0tDa2opRo0bBwcFBbz83Nzeo1Wp0dnbCycnJbPEMhrerN5StSr22ph+aUN9aD89R\nngA4BEFEREOD2ZKE/jy6dPOTiImJQUxMjO7vOXPm4MGDB9i5c6dkfn0yPjBeb04CANxsvYmJboZL\nWXMIgoiIrMmsJZDWEBcXB5VKBaVSCZlMhvv376Onp0dvm5aWFri4uFj9LgLw8M7Am5FvwlfmC3s7\ne/jKfOHn5gevUYaVF7fablkhQiIioodEv5Mgtr4/Yx0QEICenh7cuHEDAQEBunaFQqH3t7VNf2a6\n3h2CzVWbDYYgAMDH1ceSYREREemR/J2EiooKuLu745lnnkFkZCTGjBmD48eP6x5Xq9WorKzUG6YY\nauID4wXb5wfOt3AkRERE/09SdxIyMzMRFhaG4OBgaDQalJWVoaysDHl5ebC3t4ezszMyMjJQWFgI\nNzc33WJKGo0GKSkp1g6/X713FY7XHcettlvwcfXRJQiseCAiImuRVJLg7++Pw4cPo7GxEVqtFoGB\ngdi6dSsSEhJ022RkZECj0aC4uBgqlQqhoaHYu3cvPD09rRi5cY8OQXDRJSIisjZJJQk5OTnIyckZ\ncBs7OzusWrUKq1atslBU4uCiS0REZG2Sn5Ngq/pbdIkVD0REZClMEoYob1dvwXZWPBARkaUwSRii\nWPFARETWJqk5CcOJUMXDRLeJKK8rx8fffMxqByIiEh2ThCGsb8UDqx2IiMjSONwgEQNVOxAREYmB\nSYJEsNqBiIgsjUmCRLDagYiILI1JgkSw2oGIiCyNExclor/fd+CkRSIiEguTBAl59PcdiIiIxMTh\nBiIiIhLEJIGIiIgEcbhB4s4rz6O8rhwNbQ1chZGIiMyKSYKEcRVGIiISE4cbJIyrMBIRkZiYJEgY\nV2EkIiIxMUmQMK7CSEREYmKSIGFchZGIiMTEiYsSxlUYiYhITEwSJG6gVRgHKo8Uu3SSpZlERNLH\nJMFGDVQeCUDU0kmWZhIR2QbOSbBRA5VHil06ydJMIiLbwDsJNmow5ZHmKp1kaSYRkW3gnQQbNVB5\npNilkyzNJCKyDUwSbNRA5ZGDKZ08rzyPzVWbserzVdhctRnnlecH9dpERCQdkhpuKC8vR0lJCS5f\nvoz29nb4+/tj+fLlWLhwoW6blJQUnDt3zmDfixcvwtnZ2ZLhWpUp5ZGmlk4+7kRElmYSEdkGSSUJ\n+/btg6+vL9avXw93d3dUV1cjNzcX9+7dQ0pKim67mTNnIicnR29fJycns8cz1Mv8BiqPHOixRw00\nEdEcz09EREOTpJKEnTt3wsPDQ/f3rFmz0NTUhL179+olCWPHjsXUqVNFjWU4lflxIiIR0fAkqTkJ\nfROEXpMnT0ZTU5PFYxlOZX6ciEhENDxJKkkQIpfL4e/vr9d26tQpREREICIiAitWrEBtba3ZX3c4\nfbvmREQiouFJUsMNjzpz5gxOnDiB9957T9c2ffp0JCQkwM/PD0qlEkVFRUhKSkJJSQl8fX3N9tre\nrt5QtioN2m3x2zUnIhIRDU+STRLq6+uRm5uLefPmYfHixbr2tWvX6v4dFRWF6OhoxMfHY//+/diw\nYYPZXj8+MF5vTkIvW/12zYmIRETDjySTBJVKhfT0dPj4+GDbtm0Dbuvl5YXIyEhcuXLFrDHw27X1\nDPWqEiIiWyG5JEGtVmPlypXo6upCcXExXFxcjO5jZ2cHOzs7s8fCb9eWN5yqSoiIrE1SExe7u7uR\nlZWF69evY/fu3XjqqaeM7tPc3Iyvv/4aU6ZMsUCEJLbhVFVCRGRtkrqTsGnTJlRVVWHDhg1QqVSQ\ny+W6x0JCQqBQKFBQUID58+fDx8cHDQ0NKC4uhr29PVJTU60YOZnLcKoqISKyNkklCTU1NQCA/Px8\ng8dOnjwJd3d3aLVaFBQUQKVSYfTo0ZgxYwbefvtt+PjYXtXBcDScqkqIiKxNUknCF198YXSbXbt2\nWSASspbhVlVCRGRNkkoSiFhVQkRkOUwSSHJYVUJEZBmSqm4gIiIiy2GSQERERIKYJBAREZEgzkkg\neoTYyz5zWWkikgomCUR9iL3sM5eVJiIp4XADUR9iL/vMZaWJSEqYJBD1Ifayz1xWmoikhEkCUR/e\nrt6C7eZa9lns5yciMicmCUR9xAfGC7aba9lnsZ+fiMicOHHRRJyRPjyIveyz2M/P87R//H9D9PiY\nJJiAM9KHF7GXfRbr+S1xnkr1g5bXMNHgcLjBBJyRTlIg9nna+0GrbFVCo9XoPmjPK8+b5fnFxGuY\naHCYJJiAM9JJCsQ+T6X8QctrmGhwONxgAm9XbyhblQbtnJFOQ4nY56nYH7RiDmXwGrYeqQ5RAdKO\n3Vx4J8EEnJFOUiD2eSpm+abYQxm8hq1DykNUUo7dnHgnwQRiz0gnMgexz9P4wHi9yX+9zPFBO9BQ\nhjnil/o1LNVvtGL3q5ikHHsvc5w3TBJMJPaMdyJzEPM8FfOD1hJzBqR6DUu5MkPKc0GkHDtgvvOG\nSQIRmUysD1rOGeiflL/RSrlfpRw7YL7zhnMSiMjqOGegf1L+RivlfpVy7ID5zhveSSAiq5P6nAEx\nSfkbrZT7VcqxA+Y7b5gkENGQINU5A2ITc8KoJUi5X6Ucu7nOGyYJffT09AAAGhsbrRwJEdFD3vDG\naz6voep6FW7/cBvjRo/DnGfnwFvrjfr6emuHR0OUqedN7+dd7+ffo5gk9NHc3AwASEpKsnIkRET9\n+xv+Zu0QSIIGOm+am5vh5+dn0G6n1Wq1YgYlJR0dHbh06RK8vLzg4OBg7XCIiIhE1dPTg+bmZoSG\nhmLkyJEGjzNJICIiIkEsgSQiIiJBTBKIiIhIEJMEIiIiEsQkgYiIiASxBNJEdXV12LJlC+RyOVxd\nXbFkyRKsWbNG0lUQ5eXlKCkpweXLl9He3g5/f38sX74cCxcu1G2TkpKCc+fOGex78eJFODs7WzLc\nJ3LkyBGsX7/eoP3dd9/F0qVLAQBarRbFxcX47LPPcO/ePYSFhSEvLw+TJ0+2dLhPpL8+A4CDBw9i\n2rRpiI2NhVKpvxqbp6cnampqLBHioN24cQN79uzBN998g7q6OkRFReHAgQN625jaj0P9mjZ2rE1N\nTdi7dy9qampw8+ZNyGQyvPDCC8jJycG4ceN02509exbLli0zeP709HSsW7fOIsdijCn9auo5K/V+\n7a+/AGD27NnYs2cPANPe08yBSYIJWlpakJaWhsDAQBQWFuL777/H1q1bodFokJ2dbe3wBm3fvn3w\n9fXF+vXr4e7ujurqauTm5uLevXtISUnRbTdz5kzk5OTo7evk5GTpcM1i//79emU+EyZM0P37o48+\nQmFhIX7xi18gICAAe/fuRVpaGj7//HN4eXlZI9xB2bhxI9rb2/Xa/vjHP+LKlSsICwvTtS1cuFCv\nnx0dHS0W42D973//Q1VVFSIiItDd3S24jSn9KIVr2tixXr58GSdOnMCSJUsQHh6OO3fuYPv27Vi6\ndClKS0sxevRove23bdumd773TSSszZR+BYyfs7bQr1OmTMFf/vIXvbZbt24hOzsbMTExBtsP9J5m\nFloyqqioSBsVFaVta2vTtX300Ufa8PBwvTapuXPnjkFbTk6Odu7cubq/k5OTtZmZmZYMSxSHDx/W\nBgUFadvb2wUf7+jo0EZGRmq3b9+ua/vhhx+0M2fO1BYUFFgqTFE8ePBAO336dO1vfvMbXdvcuXO1\n77//vhWjGpyenh7dvzMzM7XJycl6j5vaj1K4po0da0tLi7arq0uvTaFQaIOCgrRHjhzRtf3rX//S\nBgUFaa9evSpuwE/A2LFqtaads7bQr0J27dqlfe6557SNjY26NmPvaebCOQkmqK6uxuzZszFmzBhd\n24IFC9DR0dHvbV0p8PDwMGibPHkympqarBCNdV24cAHt7e2Ij///X34bNWoU5s6di6+++sqKkT25\nr776Ci0tLXrDSFJlbz/wW5ap/SiFa9rYscpkMowYoX8z2N/fHy4uLpK7ho0dq6lsoV+FHDt2DNOn\nT7fK3R8mCSZQKBQICAjQa/Px8YGLiwsUCoWVohKHXC6Hv7+/XtupU6cQERGBiIgIrFixArW1tVaK\n7sm98sorCAkJQVxcHA4ePKhrVygUcHBwwLPPPqu3/aRJkyTfx2VlZRg/fjyioqL02v/6178iNDQU\nzz//PNauXWsw3itFpvajrV7TtbW1UKvVBscPAKmpqZg8eTJiY2NRWFjY71r9Q5mxc9YW+/W7777D\nlStX+k3y+3tPMxfOSTBBa2srXF1dDdplMhlaW1utEJE4zpw5gxMnTuC9997TtU2fPh0JCQnw8/OD\nUqlEUVERkpKSUFJSAl9fXytG+3i8vLyQlZWF8PBw9PT0oKysDBs3bkRHRwfS0tLQ2tqKUaNGGUxu\ncnNzg1qtRmdnpyTnYajVanzxxRd44403YGdnp2uPjY3F1KlTMX78eFy7dg07duxAUlISSktLBc91\nqTC1H23xmtZoNMjPz8ezzz6L2NhYXburqysyMjIQFRUFR0dHVFZWYvv27bh79y7y8vKsGPHjMeWc\ntcV+PXbsGBwdHfGjH/1Ir93Ye5q5MEkgAEB9fT1yc3Mxb948LF68WNe+du1a3b+joqIQHR2N+Ph4\n7N+/Hxs2bLBGqIMSExOjN+lnzpw5ePDgAXbu3NnvTGJbUFlZifv372PBggV67X0/HKKiojBt2jQk\nJCTg8OHDZn2DIcv5wx/+ALlcjk8++URvQl9ISAhCQkJ0f0dHR8PJyQn79u3DW2+9JTjsOBQN13O2\nrKwML774IsaOHavXbuw9zVxDOBxuMIFMJjOYLQ48zFplMpkVIjIvlUqF9PR0+Pj4YNu2bQNu6+Xl\nhcjISFy5csVC0YknLi4OKpUKSqUSMpkM9+/fN7gF29LSAhcXF0neRQAefgvx8/PTq2oQEhQUBH9/\nf8n3q6n9aGvX9Keffoo9e/Zg69atiIiIMLp9XFwcuru7cfXqVQtEJw6hc9bW+rW2thbXrl0zSPL7\n0/c9zVyYJJggICDAYDyroaEBarXaYPxLatRqNVauXImuri4UFxfDxcXF6D52dnZ6t66lqu8xBAQE\noKenBzdu3NDbRmiMUyra2tpQXV1t8huMLfSrqf1oS9d0RUUFfvvb3+Kdd97Bq6++atI+vf0s9f5+\n9Jy1pX4FHib5I0eOxLx580zaXoz+ZJJggpdeegmnTp3Sy1DLysowcuRIzJgxw4qRPZnu7m5kZWXh\n+vXr2L17N5566imj+zQ3N+Prr7/GlClTLBChuCoqKuDu7o5nnnkGkZGRGDNmDI4fP657XK1Wo7Ky\nUrA2WQr++c9/orOz06Sqhm+//RYKhULy/WpqP9rKNX327FmsW7cOycnJWLFihcn7VVRUYMSIEQgO\nDhYxOnEJnbO20q+9jh07hrlz5xqsedGfvu9p5sI5CSZITEzEgQMHkJmZifT0dNy8eRM7duxAWlqa\nXqmN1GzatAlVVVXYsGEDVCoV5HK57rGQkBAoFAoUFBRg/vz58PHxQUNDA4qLi2Fvb4/U1FQrRv74\nMjMzERYWhuDgYGg0GpSVlaGsrAx5eXmwt7eHs7MzMjIyUFhYCDc3N90iPBqNRm/xFik5duwYnnvu\nOUyaNEmv/csvv8Tf//53vPzyy3j66aehUCiwc+dOeHt7681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kIZ4kvOvuT7dynOOAPYFh7v4GgJl9BNxhZhe5+6v5DjwX9fVQVweNjVBdDbW1UFNTikhE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\nhjU+nvSrvZnx2fSJJss3BzaPiLnZfheSgpVJwIc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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -359,7 +359,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 69, "metadata": { "collapsed": true }, @@ -377,7 +377,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 70, "metadata": { "collapsed": true }, @@ -395,7 +395,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 71, "metadata": { "scrolled": true }, @@ -406,7 +406,7 @@ "array(68.0)" ] }, - "execution_count": 9, + "execution_count": 71, "metadata": {}, "output_type": "execute_result" } @@ -424,7 +424,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 72, "metadata": {}, "outputs": [ { @@ -436,9 +436,9 @@ }, { "data": { - "image/png": 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0tYKr7cqqaG6obnAq+RTH44+z8teVnEw8WVPhCSFErVBp09moUaN48803efPN\nNwkNDaV379506NABX19f7OwKh/NqNBquX7/OuXPn+PXXXzly5AgKhYJnn33W4l+gJpWsaE4mnuSP\n5D/Izs8GIDkrmS1RWwDo6dOzRmIUQoiaVmmimTFjBpMmTWLXrl38+9//JiIiwjA3xN7eHr1ej0aj\nAUCv19OmTRtmzZrFE088gYuLi2Wjr2ElK5p9l/cZKhu4k4giYyIl0QghGqwqDQZwdnZm6tSpTJ06\nlYSEBE6fPk1sbCwZGRkANG7cmICAALp27Vpv+2PKUrKiSc5KNk40/0tESVlJ9zw2IYSoLUwedebr\n64uvr68lYqlzSlY0Xi5exKTFGI4VDX/2dvG+57EJIURtcU9GndVXxefRWFtZMzJopGE+TfHzI4JG\n3PPYhBCitqiTiea7777jscceo1u3bvTr14+XX36ZGzduGF2j1+vZsGEDAwYMoHPnzkycOJGLFy+a\nNQ6jpjOFNT19evJI20dwtnVGgQJXB1emhUyT/hkhRINW5xLN4cOHWbhwId26dWPdunUsWrSIP/74\ng+effx6dTme4btOmTaxbt47p06ezYcMGnJycmDJlCqmpqWaLxajp7H/zaLp5dSPEK4R+/v0YETRC\nkowQosGrcwtxffvtt3Ts2JF//OMfhmPOzs7MmjWLuLg4AgMDUavVbNq0ibCwMCZNmgRA165dGTx4\nMNu3b2fBggVmiaVkRQPgZOtkOFa0FI0QQjRkda6iKSgowNnZ2ehY0VYFer0egKioKFQqFSNHjjRc\n4+TkxKBBgzh+/LjZYimronG0dTQcy83PNdtnCSFEXVWtRJOdnU1ycjJJSUml/ljKE088walTp9iz\nZw8qlYq4uDg+/PBDevXqRVBQEACxsbFYW1vTqlUro/cGBgYSGxtrtlgqq2hyCyTRCCGEyU1narWa\nNWvWsHv3bsM8mrKYu+O9yMCBA1m+fDn/93//x9///ncAunXrxvr16w3XKJVKnJycsLa2Nnqvm5sb\nubm5aDQaw6oG1VFmRWNzp6KRpjMhhLiLRLN06VL27NnDkCFD6N69O25ubpaIq1wnTpzg9ddf5+mn\nn6Z///7cvn2b1atXM3v2bLZt21YquVhSWRWNNJ0JIYQxkxPNwYMHGTNmDMuWLbNEPJV67733GDx4\nMC+99JLhWLt27Rg5ciSHDx9m2LBhuLq6kpOTg1arNUo8mZmZODo6mqWaAeOKxrAfjbU9CoWicGke\nrYYCXYHR3BohhGho7qqPpkOHDuaOo8piY2Np37690bGAgAAcHByIj483vNZqtVy7dq3UewMCAswW\nS1nbBCgUCuN+GqlqhBANnMmMaGeFAAAgAElEQVSJZvDgwZw4ccISsVSJt7c3Fy5cMDp25coV8vLy\n8PHxASAkJARnZ2ciIyMN1+Tm5nL06FH69etntljK2iYAjPtpZECAEKKhM7lNZ968ecybN4+lS5cy\nbtw4vLy8yuwXKTkE2VzGjRvH8uXLad68Of379+fWrVusXbsWHx8fBgwYABSuKh0WFsa6detwc3Mj\nICCArVu3otPpmDx5stliKauiAemnEUKI4kxONEOGDAHgwoUL7Ny5s9zrLDXq7Omnn8bW1pYdO3bw\n5Zdf4uLiQvfu3XnxxRdxcrrTZBUWFoZOp2Pjxo1kZGQQHBzM1q1badasmdliKa+ikUmbQghxh8mJ\nZvbs2Yb9aGqCQqFgwoQJTJgwodLrZs6cycyZMy0Sh16vR6e/s+SNleJOK6TMpRFCiDtMTjRz5861\nRBx1TvFmMyuFlVHyNeqjkaYzIUQDV61xt3q9nvT0dACaNGlSo5XOvVbWZM0ixftopOlMCNHQ3VWi\niY2N5cMPP+Snn34iN7fwN3ZHR0f69evH/PnzzTqEuLYqXtGUnCcjTWdCCHGHyYnm0qVLTJw4kfz8\nfIYOHUrr1q0BiIuL49ChQ/z000988cUXtGvXzuzB1iblDQQAWYZGCCGKMznRrFixAldXV7Zv326Y\nt1IkKSmJiRMn8sEHH7B582azBVkblTe0GWR4sxBCFGfyhM2oqCjGjx9fKslA4WTKcePGcerUKbME\nV5tVVNFI05kQQtxh9v1oGsqAgAorGmk6E0IIA5MTTbdu3dixYwcpKSmlzqWkpLBjxw66detmluBq\nsypXNNJ0JoRo4Ezuo1m4cCGTJk1ixIgRDBs2zLC5WFxcHAcPHsTKyopFixaZO85ap8p9NNJ0JoRo\n4ExONB07dmTXrl2Eh4dz8OBBo+HNffv25YUXXjDsdFmfyagzIYSomruaRxMUFMTatWvR6XSkpaUB\n4O7ujpWV2bt8aq2K5tEUr2jyCvLQ6/UNpu9KCCFKqtbKAFZWVmZdpLIuKdAVGP5esunMSmGFg42D\nIcnkFeQZJR8hhGhIGk4JYmYVNZ2BLEMjhBBFKq1o2rVrh5WVFWfOnMHOzo527dpV2gykUChKbU5W\n31Q0GAAK+2nSKVwHTgYECCEaskoTTdG2ADY2NkavG7rKKhoZ4iyEEIUqTTQltwV44okncHd3x8HB\noczrc3NzDSs612eVVjTSdCaEEMBd9NGEhoZy8ODBcs8fPXqU0NDQagVVF5hU0UjTmRCiATM50ej1\n+grP5+fnN4hhzlXpoykiTWdCiIasSsObVSoVSqXS8DojI4OkpKRS1ymVSr7//ns8PDzMF2EtJaPO\nhBCiaqqUaLZt28batWuBwhFl77zzDu+8806Z1+r1ehYuXGi+CGupyioaaToTQohCVUo0/fr1w8XF\nBb1ez7vvvsvo0aPp2LGj0TUKhQJHR0eCg4Np3769RYKtTSqtaGQZGiGEAKqYaLp06UKXLl2Awma0\nYcOGcd9991k0sIoUFBTwySefsHv3bpKSknB3d2fEiBG88sorhmv0ej0bN25kx44dpKen06lTJ159\n9VWzJUFTRp1JH40QoiEzeQmaOXPmWCIOkyxevJgTJ04wZ84cAgICSE5O5sqVK0bXbNq0iXXr1vHy\nyy8TEBDA1q1bmTJlCt9++61Z+pBk1JkQQlTNXa11plarOXDgABcuXCArKwudTmd0vqgfxxJ+/PFH\n9u/fzzfffFPuKtFqtZpNmzYRFhbGpEmTAOjatSuDBw9m+/btLFiwoNpxmNJHI01nQoiGzOREk5iY\nyNNPP01iYiKurq5kZWXh5uZGVlYWWq2WJk2a4OTkVPmN7tLXX39Nr169KtyKICoqCpVKxciRIw3H\nnJycGDRoEMePHzdPojGhj0aazoQQDZnJE17ef/99VCoVX331FZGRkej1esLDwzl9+jSLFi3CwcGB\njz/+2BKxAnD27FlatWrFsmXLCAkJoUuXLsyZM4cbN24YromNjcXa2tqwKVuRwMBAYmNjzRKHSX00\n0nQmhGjATE40J06cYPz48XTu3NloYqadnR3Tpk2jV69eFms2A0hNTSUiIoKLFy8SHh7O8uXLOX/+\nPHPmzDFMJlUqlTg5OWFtbZwA3NzcyM3NRaPRVDuO4hVNyf1ooPSos8omugohRH1lctNZXl4ePj4+\nADg7O6NQKMjKyjKc79atG++99575IizHunXraNKkCQAeHh5MmjSJEydO8OCDD1r8s6HEfjRlNJ3Z\nWttiY2VDga4ArU5Lvi4fO2u7exKbEELUJiZXNF5eXoZmKhsbG1q0aMGZM2cM52NiYrC3tzdfhCW4\nurpy3333GZIMQPfu3bG1tSUmJsZwTU5ODlqt1ui9mZmZODo6YmdX/Qd+ZU1nICs4CyEE3EVF06tX\nLw4fPmwY5vzYY4+xadMmlEolOp2OvXv38sgjj5g90CKBgYGo1eoyzxU15QUEBKDVarl27RoBAQGG\n87GxsUavq6OywQBQ2E+jVBcu3ZOTn4Obg5tZPlsIIeoSkyuasLAwZsyYYejnmDFjBo8++igHDhzg\n8OHDPPzwwyxZssTsgRYZOHAg0dHRpKWlGY6dPHmS/Px82rZtC0BISAjOzs5ERkYarsnNzeXo0aP0\n69fPLHFUpaIxGnkmAwKEEA2UyRWNt7c33t7ehtf29va8/fbbvP3222YNrDxPPfUUn3/+OTNnzuT5\n558nOzubFStW0Lt3b3r06GGIKSwsjHXr1uHm5maYsKnT6Zg8ebJZ4qhKRSNNZ0IIYWKiyc3NZcaM\nGYwePZonnnjCUjFVyNnZmU8//ZS33nqLhQsXYmtrS2hoaKkqKiwsDJ1Ox8aNG8nIyCA4OJitW7fS\nrFkzs8Rhah+NTNoUQjRUJiUaR0dHzp8/z6hRoywVT5W0bNmSzZs3V3iNQqFg5syZzJw50yIxVLWP\npog0nQkhGiqT+2j69u3LL7/8YolY6hST+2ik6UwI0UCZnGjmz5/PlStXWLJkCWfOnOHWrVuoVKpS\nf+o7U/topOlMCNFQmTwYoGj9sJiYGPbs2VPudRcvXrz7qOoAowmb5VU0ssumEEKYnmhmz56NQqGw\nRCx1ilHTWXl9NDK8WQghTE80c+fOtUQcdY5R05msDCCEEOUyuY8mKSmJvLy8cs/n5eWRlJRUraDq\ngqpUNJdvX+ZU8imOxx9nb/ReTiaevFfhCSFErWFyogkNDeXgwYPlnj9y5AihoaHVCqouqKyiOZl4\nkoiLEWTnZ6NHT1pOGluitkiyEUI0OCYnmsqWu8/PzzfaPqC+qqyi2R+z32j7gLyCPNJy04iMiSx1\nrRBC1GdV6qNRqVQolUrD64yMjDKbx5RKJd9//z0eHh7mi7CWqmw/muSsZOys7XC2dUaVr0KHjlPJ\np7iQeoGkrCS8XLwYGTSSnj4972XYQghxz1Up0Wzbto21a9cChTPu33nnnXI3N9Pr9SxcuNB8EdZS\nlU3Y9HLxIlGZSPtm7fnz5p9k5GWQoc5AZaXihuoGOr2OLVFbACTZCCHqtSolmn79+uHi4oJer+fd\nd99l9OjRdOzY0egahUKBo6MjwcHBtG/f3iLB1iaVTdgcGTSSLVFbcLR1pHOLzvwn9j8ANLJrxKXb\nl7CztsPNwY3ImEhJNEKIeq1KiaZLly506dIFKGxGGzp0qGFJ/oaqsoqmKHlExkQWNpU5exUOcVaA\nHj2xGbF0bdGVpKz6P0JPCNGwmTyPpmjDM4Ds7GyUSmWZAwSKbyVQH1VlCZqePj0NCWfZD8u4knaF\nP5L+QIeOLE0WablpdPHsck/iFUKImmJyolGr1axZs4bdu3eTkZFR7nX1fQmaqiyqWVxRU5qXixeJ\nWYkAXM28yst9XrZYjEIIURuYnGiWLl3Kv//9b4YOHUr37t1xc2uY2xNXpaIprqiy+ebSN3zz1zc4\n2Djg5+Yny/kIIeo9kxPNwYMHGTt2LMuWLbNEPHWCXq9Hp9cZXlspqjZvqKgprYdPDz7772fEZ8Yz\n49sZ/K3t33iozUMyKEAIUS+ZnGgAOnToYO446pSSzWamViVNHZty+fZlCvSFK0CfTj5NclYyIEOd\nhRD1j8lT+AcPHsyJEycsEUudYWqzWUlHrx7F19XX8Ppa5jV0ep2sGiCEqJdMTjTz5s0jPj6epUuX\ncunSJTIzMxvcxmemDgQoKTkrGR8XH+ys7ABQa9Ukq5JlqLMQol4yuelsyJAhAFy4cIGdO3eWe119\nHnVW3YqmaNUAP1c/rmRcAeB65nW6e3U3W4xCCFFbyMZnd6G6FU3xoc4JWQmotWo0Og1NHZuaM0wh\nhKgV6vzGZzdu3GDEiBHk5OQQFRVFo0aNgMKRYRs3bmTHjh2kp6fTqVMnXn31VbMsj1Pdiqb4qgGp\n2akkZiXi5+ZHXEYcOfk5RhumCSFEXVet9fzj4uI4deoUWVlZ5orHZO+//z5OTqUfzJs2bWLdunVM\nnz6dDRs24OTkxJQpU0hNTa32Z1a3ooHCZPPagNf4+qmvGR40HIDj8cd5YucTLPthmexbI4SoN+4q\n0ezZs4f+/fszatQoJk2axLlz5wBIS0sjNDSUb7/91qxBlufkyZMcP36cZ5991ui4Wq1m06ZNhIWF\nMWnSJHr37s2qVatQKBRs37692p9b3YqmOGsrawKbBHLx1kWy87O5rrxOXHqcbJImhKg3TE403333\nHYsXL6Zt27YsXrzYaJ0zd3d3OnTowDfffGPWIMui1Wp58803mTVrFk2aNDE6FxUVhUqlYuTIkYZj\nTk5ODBo0iOPHj1f/s/UV70VjqmuZ13CycTLcu2hOjQx3FkLUByYnmo0bN9KvXz82b97M6NGjS53v\n1KkTf/31l1mCq8iXX36JRqNh4sSJpc7FxsZibW1Nq1atjI4HBgYSGxtb7c+ubBtnU91Q3cDfzd/w\n+mbOTfR6vQx3FkLUCyYnmri4OEJDQ8s936RJE9LT06sVVGXS09NZtWoVS5YswdbWttR5pVKJk5MT\n1tbGScDNzY3c3Fw0Gk21Pr9AV2D4e3WbzqBwuHMzp2aGe+UW5JKdn423S/1eAVsI0TCYnGhcXFzI\nzMws93xsbCzNmjWrVlCVCQ8Pp0uXLgwYMMCin1MecwwGKG5k0EisFFZGw5tvZt9kRNCIat9bCCFq\nmsmJpm/fvuzatavM2f9xcXHs3LmTgQMHmiO2Ml2+fJmIiAhmz56NUqlEqVSSm5sLFG7KlpeXh6ur\nKzk5OWi1WqP3ZmZm4ujoiJ2dXbViMOdgACgcgTYtZBqdmndCgQJnW2e8Xbzp4d2j2vcWQoiaZnJP\n9sKFCxkzZgx/+9vfGDx4MAqFgn379rF3717279+Pu7u70eZo5nbt2jXy8/N56qmnSp3r378/Tz75\nJA8//DBarZZr164REBBgOB8bG2v0+m6Zu6KBwmTTzasbLx98mWxNNgAxaTG0adrGLPcXQoiaYnKi\n8fT0JCIigvDwcPbt24deryciIoJGjRoxYsQIXnzxRZo2tdwM95CQED777DOjY8ePH2fz5s1s2rQJ\nPz8/fHx8cHZ2JjIyklmzZgGQm5vL0aNHGTt2bLVjMHdFU8TGyoYQrxCOXyscGfdH0h+SaIQQdd5d\njc318PDgnXfe4Z133iEtLQ2dToe7uztWVtWa/1kl7u7uPPDAA0bHEhMLd6zs0aOHYWWAsLAw1q1b\nh5ubGwEBAWzduhWdTsfkyZOrHYMlKpoi9/vcb0g0p5JP8VTwU1Xe70YIIWqjak8CcXd3N0ccZhcW\nFoZOp2Pjxo1kZGQQHBzM1q1bzTJQwVIVDUCQexCNHRpzOe0yp5JPMX73eDo278jIoJGyV40Qok4y\n+Vflt99+m+HDh5d7fvjw4bz33nvVCspUjz/+OH/99ZehmgFQKBTMnDmTH3/8kbNnz/Kvf/3LbBu2\nWbKisVJY0dihsWGlgBvZN0hUJspKAUKIOsvkRPPDDz8YzbgvadSoURw5cqRaQdV2lqxooHBoc5Hb\nObfRaAvn/chKAUKIusjkRJOSkoKPj0+55729vUlJSalWULWdJSsagNz8XMOSNAX6AuIy4gBkpQAh\nRJ1kcqJxdXUlLi6u3POxsbFGTVj1kaUrGm9XbwKa3BmGfSP7Bhl5GbJSgBCiTjI50fTr148vv/yy\nzPXMLl26xJdffknfvn3NElxtZemKZmTQSNwd3fFw8jAci0mLYUjAELN/lhBCWJrJo87mz5/P8ePH\neeKJJxgyZAhBQUFA4Yz9w4cP07hxY1544QWzB1qbWLqiKRpdtufSHvZG78XB2gE/Nz9u5dwy+2cJ\nIYSl3dWEza+//poVK1Zw5MgRIiMLO6gbNWrEqFGjWLhwIZ6enmYPtDaxdEUDhcmmp09PhgYOZcef\nO4DCwQBdPbvi5+Znkc8UQghLuKt5NC1atOCf//wner2etLQ0oHA+jUKhMGtwtVXxisYc+9FUpH/L\n/pxIOEFcehwFugL++cs/mdp1Kt28uln0c4UQwlyq9ZRUKBQWXW6mtjKqaCzQdFaclcKKyZ0n897P\n75GgTCA+M55DsYfo6tmVFx54AYVCwf6Y/SRnJePl4nXXEztPJp40y32EEKKkaiWa7OxslEql0S6b\nRby96+8IKXNvfFYZH1cfhgUO47Ujr5GnzQPgdMppntr9FAqFAkcbR2ytbfFx8eF65nUAk5LEiesn\nePv42yQoE7CztuM+zX0kKhNNvo8QQpTF5ESjVqtZs2YNu3fvJiMjo9zrLl68WK3AajNzb3xWFVHJ\nUXTz7Mal25dIzyvcWE6VX7hVg72NPWqtmtiMWJJVyWw7s40e3j2q1JR5IfUCSw4vISW7cO5TnjaP\n0ymnaePehsiYSEk0QohqMznRLF26lD179jBkyBC6d++Om5ubJeKq1e7FYICSkrOSsbW2JdgjmGuZ\n10jKSjJKeEVyC3I5evUoq39fzZgOY/By8Srzfjezb7Lr/C7O3jjLjewbRue0ei2Xbl9CpVFRoCuw\neD+UEKJ+M/kJcvDgQcaMGcOyZcssEU+dYOnhzWXxcvEiUZmIQqGgVeNWtHRryankUyhQ0NWzK8mq\nZOIz4ynQF9DIthHnb57nYupFBrYayN/a/g0n28KVBnLzc/n+8vccjjts+B5Otk7kFeTh4+JDak4q\nuQWFG8ll5GXwz5//yfM9nsfdsXYuniqEqP3u6ldVcy1OWVfVREUzMmgkW6K2GF4rFAr83fxRKBRY\nW1nj6+pL80bNuZZ5jcYOjQHQ6XUciTvC1xe/JikrCZVGhYONA94u3obJoAqFgofaPER8Zjx21nb4\nuvoSfTuaW7m38HPz42rGVd768S2e6/YcHZt3vCffVQhRv5icaAYPHsyJEycYN26cJeKpE2LSYjiV\nfIqc/Bz06LG1srV4X0bR/SNjIknKSsLbxZtpIdOMjgU0CWBWz1l4uXix89xOom9Hk5qTysVbd/rL\n1Fo1mepMaAa9fHvxVMenaNm4JScTTxruMzRgKE2dmnLu5jl0eh3ZmmxW/76ah9o8xEP3PST74wgh\nTKLQlzVkrAIJCQnMmzePzp07M27cOLy8vLC2Lv1bvbOzs9mCvJcSEhIIDQ3l8OHD+Pr6ljp/MvEk\nL/7nRVJzUgFo37Q9Ho08mBYyrVZ1nOv1ek6nnGZB5AJu5tw0Oudg7cADPg+w/uH1FQ4YiEmLYfOp\nzWTk3Rn00cGjA8+FPIezXd389xVCWEZFz06TK5ohQwrX27pw4QI7d+4s97r6Oupsf8x+o+HcRQ/q\n2jZCS6FQEOIVQvtm7QnQBhhiVigU2FrZolAoKh2VFuQexP/1/z8+jvqYS7cuAYWj1N768S3CuocZ\nLfwphBDlMTnRzJ49u8GsAFCW5Kxko9FeRc1ItXUJf29Xb8OcGKPjVVwJ2tXelfm95rPvr318f/l7\nANJz01nxywrGdBjDwFYDG/T/HoQQlTM50cydO9cScdQZXi5enEg4YXjtYOMAVP3Bfa+VHERQZETQ\niCrfw0phxSPtHiGgSQCfnP6EnPwctDotX577kpi0GCZ3mWz4OQghREnV6tUtWussLS2tzNUB6qOh\nAUNRa9UAKFAYHrCmPLjvpZ4+PZkWMg1fV1+sFFb4uvredX9SpxadeLX/q7Rs3NJw7I+kP1h+fHmt\nreiEEDXvroY3x8bG8uGHH/LTTz+Rm1s458LR0ZF+/foxf/58AgLqb9t96yatadesHdczr6PVa/F3\n82dE0Iha1T9TUtFK0ObQ1KkpL/V+ia/Of8WP134EIEWVwvLjy5nUeRIP+D5gls8RQtQfJieaS5cu\nMXHiRPLz8xk6dCitW7cGIC4ujkOHDvHTTz/xxRdf0K5dO7MHWxukZqfi4eSBh5MH7Zq1Y8GDC2o6\npHvO1tqWiZ0nEugeyPaz28nX5qPRavjk9CccjD1Ivjafm9k3ZXFOIQRwF4lmxYoVuLq6sn37dnx8\nfIzOJSUlMXHiRD744AM2b95stiCL279/P9988w3nz59HpVLRunVrnn32WR5++GGj67766iu2bNlC\ncnIybdq04aWXXuLBBx+s9uffzL4zVLh5o+bVvl9d1su3F/5u/mz4YwM3VDdIzUnlx/gfcbFzoX2z\n9iQqEw39Q5JshGi4TO6jiYqKYvz48aWSDBSu2Dxu3DhOnTplluDKsm3bNho1asSSJUtYt24dDzzw\nAC+++CKff/654Zpvv/2W119/nUceeYTNmzcTFBTE888/T3R0dLU/v2j+DIBHI48KrmwYvF28eaXf\nK4R4hRCfGQ9AliaLqOQoUlQp6PV6ImMiazhKIURNMvtqiZYe6rp+/Xrc3e+su/Xggw9y8+ZNtm7d\nyuTJkwFYvXo1jz76KLNnzwbg/vvv5+LFi2zatIkVK1ZU6/NTs4slGidJNFA48i6sexjfRn/LlfQr\n6NFToC8gOi2aWzm3ylz8UwjRcJhc0XTr1o0dO3aQkpJS6lxKSgo7duygWzfL7f5YPMkUad++PTdv\nFjZpXb9+natXrzJy5EjDeSsrK4YPH87x48er/fnFm86korlDoVDQ06cnXVp0wdHG0XA8LS+NS7cv\n8VvCbw1mZKIQwpjJFc3ChQuZNGkSI0aMYNiwYbRq1QooHAxw8OBBrKysWLRokbnjrNCZM2cMgxJi\nY2MBSo18CwwMJCMjg7S0tDKTVVXo9Dpu5942vJaKxtjIoJEkKhMJ8QzhasZVElWFE0U9nT355PQn\nnEo+xaTOk3C1d63hSIUQ95LJiaZjx47s2rWL8PBwDh48aDS8uW/fvrzwwgsEBQWZPdDy/Prrrxw6\ndIh33nkHgMzMTABcXY0fZkX75mRmZt51oknLTTMsre9q74q9jf3dhl0vFV/409balo7NO6JUK7Gz\ntgPgvyn/JSYthgmdJtDdq7usKCBEA3FXfTRBQUGsXbsWnU5HWloaUNikZWV1b1f1TUhI4MUXXyQ0\nNJTHH3/c4p9XvH+moY84K0/JOTvqAjURFyM4dvUYANmabDaf2swpr1NM6DQBF3uXGopUCHGvVCkz\n5Ofns2LFilKLaFpZWdGsWTOaNWuGlZUVO3fu5IMPPkCr1ZZzJ/PJyMhg+vTpeHt7G3XwF1UuWVlZ\nRtcXVTrV2RFURpyZzt7GnvGdxrPgwQVGm6dFJUfxxg9vEJUcVYPRCSHuhSolmt27d7Nt2zZ69OhR\n4XU9evRg69atREREmCW48uTm5jJjxgzy8/PZuHEjjo53Op+L+maK+mqKxMbG0rhx47tuNgOpaKqj\nXbN2vD7wdfq17Gc4lqXOYuMfG9kStYVsTXYNRieEsKQqJZrvvvuOIUOGEBgYWOF1gYGBDBs2jL17\n95oluLIUFBQwf/58rl69ypYtW2jatKnReT8/P1q1akVk5J25GzqdjsjISPr161fydiYxGnEmAwFM\n5mDjwKTOk5j3wDzDLqBQuMfP0mNL+W/Kf2swOiGEpVQp0Vy6dImePas2s7t79+5cunSpWkFV5I03\n3uCHH35g1qxZZGRkcObMGcMfjUYDFK4wHRERwbp16zhx4gSvvPIK165dIywsrFqfLU1n5tGxeUde\nH/g6vf16G44p1UrWnVxnWB1aCFF/VGkwgFqtxt6+aiOs7O3tUavV1QqqIj///DMAb7/9dqlzRTu7\nPfzww+Tk5LB582bWrVtHmzZt2LhxI/fdd99df65er5fJmmbkZOvEM12foZtXNz7/7+co1UoAfkv4\njaNxR3G1d0Wn11VrvbSTiSfZH7Of5KxkWXdNiBpUpUTTvHlzYmJiqnTDmJgYPDws9xA+cuRIla4b\nO3YsY8eONdvnKtVKNNrCisnJ1olGdo3Mdu+GrHOLziwduJSd53fyW8JvpOakcvFW4e6szZ2aczXj\nKr9e/5XhQcO5r2nVf1GIvh3NgZgDQGGTXb42X9ZdE6KGVCnR9O7dmz179vD888/TpEmTcq9LS0tj\nz549DB061GwB1hayIoDlNLJrxLPdnqWbZzfmfD/HcPxmzp2f+RdnvyDEK6TK9zyVfIrs/DsDDGwU\nNng4ebDjzx308O4hc3iEuIeq1Eczffp0cnNzefrppzl79myZ15w9e5YpU6aQm5vLc889Z9Yga4Pi\n/TMy4swyunl1o32z9mU2SxZPGlVRsp+nQF9AcnYykVcieeOHNzgUe4gsdVY57xZCmFOVKhp/f3/C\nw8N58cUXeeqpp/D396dNmzY0atSI7OxsLl++THx8PA4ODnzwwQeGZWnqE+mfuTf8G/tjbWWNZ64n\nmepMw/Gmjk0Z2WZkBe80plQrSctNQ6fXkZabRk5BYeJpZNuI5Kxkdp3fxdcXvqaLZxf6+PWhY/OO\nWCnu7YRjIRqKKq8MMHjwYPbu3cvmzZs5duwYhw4dMpzz8PBgzJgxTJs2DX9/f4sEWtOk6ezeGBk0\nki1RW2ji2IQmjneaaU3dftrHxcfQJ9O6cWuyNFmkqFKMqlGdXsfp5NOcTj6Nm4MbD/o+SB//PlKx\nCmFmJi1B4+fnx7Jly9ihWxcAABLhSURBVABQqVRkZ2fTqFEjnJ2dLRJcbWI0tFkqGospvl5aUlYS\n3i7ed7VVdsn7dPDowMIHF9KpRSdOJZ3i5+s/cyXtiuH6zLxMImMiiYyJpE3TNvTx60OIV4isZyeE\nGdz1fjTOzs4NIsFA4TDZfdH7yMzLxMnWiQRlAm2atqnpsOqtkuulmfs+ffz70Me/DymqFH6O/5kT\nCScMw6sBLt++zOXbl9lxbgc9vXviYufCf2/8lxRVSr0ZJi1Dv8W9ZPaNz+qbk4knWX9yPRl5GQDk\nFeSx488dONs5y/8x6zhPZ0+e6PAEj7Z7lHM3z/Hz9Z/588af6PQ6oHBB0H9f+jcXb13EycYJV3tX\nYtNjOZl4kqc6PkVv/9642bvhau+KrbVtDX+bqjt05RAf/fYRSo0SWytbUlQpRN+KZu4Dc3nA94Ga\nDk/UQ5JoKrE/Zj9q7Z0JqA42DigUCiJjIiXR1BPWVtZ08exCF88uKNVKTiSc4Kf4n7ihumHYnjqn\nIMcwoABg1W+rOB5/ZyM9J1sn3BzcDInHzeF//7V3w83Bjbj0OH6+/jO3sm/h7ep9TysIrU7LlfQr\n/HnjT87dPMe+6H1ljuKbt38ej7Z7FH83f/zd/PFz88PHxadOJVFRO0miqURyVjJOtk7YWdmh0WkM\n/TNJWUk1HJmwBFd7V4YFDmNowFBi02OZvm86eQV5aPXGK5KXfFDn5OeQk59DclZyqXsWn4RqrbCm\nkW0jjl09xrjgcQwPHI63i7fZH+YZeRmcv3meP2/+ycXUi+QV5BnFWpYsTRZXM65yNeOq4ZiVwgpP\nZ09D4vF388fP1Q9HW8cy7yFEWSTRVMLLxYtEZSI9vHuQV5BHI9vCFQG8XbxrODJhSQqFgkD3QAa2\nGkh8RjwZeRmotWo0Wg352nyc7Jxo2bglmXmZKNVKQ3NbWYqqIgCtXotSo0SpURbuy5N0CiuFFV4u\nXvi5+hke6KY+zHV6HbHpsZy7eY5zN89xPfN6udc62zlja2VLY4fGaHVaVPkqVBoVtlalk51OryMp\nK4mkrCROJJwwHG/m1Mwo+fi7+cvOqaJckmgqUTTc1sbKBme7O4MfRgSNqMGoxL1S9O/f1Ml4lfDi\nw631ej0qjYpMdWHSyczLNPr72RtncbRxJF+bT4G+wHCPoqpIp9eRqEwkUZlo9DD3aORhlHz83fz5\n69Zfhk58d0d3At0D0eq0XEi9UOFipE2dmhLcPJjg5sFkqbP47L+flbpmfPB4mjs353rmdeIz47mu\nvM4N1Y0y73cr5xa3cm4Z7Sfkau9aKvk0dWxap1ZhqG2DJGpbPHdLEk0lzDXcVtRNVfn3VygUuNi7\nlLtbaLIqmURlIgAarYZsTXZhBWFtS/NGzY3maBWXmp1Kanaq4WGempPKlbQrONs5k6/LJ0tTuLJB\nWaspWFtZ08a9jSG5eDp7Gj3w7aztyv1OHTw6GK7LK8gjQZlglHwSlYllVnBKtdJQURVxtHXEz9XP\nKPl4Onve88mxOr2OvII81AVq1Fq14b9Fx/IK8jh74yz7oveh1WnR6XVE347mh6s/MKj1IAKbVLxF\niiVcSb/C0bijQGETZlx6HL8l/MbotqPp6tkVext7HGwcsLe2x97GHnvr/722scfGqnY92hV6vV5f\n00HUJgkJCYSGhhpWghaiuk4mnjRMHi2uqCrKK8jjeuZ1riuvGx7oSVlJpR7mJddvK+Js60yIVwiN\nHRrTqUUnOnp0pL1HexxsHCzyfQp0BSRlJRklnwRlAuqCqq3abmtti4+LjyH5pOemE5Ucxc3sm3i5\neDEicASdPTsbEkBRYijr78UTRVnXFV2Tr82vNK7Kfr73WnXisbayLjcJFR0vel2VvzvYOHAq6VSF\n1VVFz87alfaEqIcqq4ocbBxo07SN0dysood5fGa84YH+y/VfjO6rQIGrvStNHZvy2oDX8HHxuSfN\nVDZWNobqpA99gMKK4Wb2TaPkE58ZX+bOqfnafMOgg6KBEgoU2FrZ8v/t3X1ME3cYB/BvaXkdFoZW\nQGFziBAUCyJxU0EmxjCHTtxMhgGxM3sxAyRk7sVEN8EY51ww2xzrHNliXIKLU0cwbiwjKgMW/IO4\njb3oCgqC1jGFlmJL6fX2B+vNo4UeL/WKfT6JCf3d9fr06dmnv9/97o5hGVS2VI54zTtXGmnocazX\n2ZssE4mHsTLoN/ejH5MTe/fdblz+5zKkXlIEeAfAYDZwvXQhoztUaAi5D8Z6Euq9X+Y2RosRrXda\n0W/uh0QiQbBfMGReMkTIIxAhF7f3bZudFhYYxjt21WPqsSs+PcYe7nm2iRIsWJitZq79uu76pBYa\niURi92t9+NBTj6kHOpMOUi8ppBIp91xFgAKbFm6atFiEMjNm/HP3HwBDhZyxMmBYBkG+QVgyewmv\nRze8dzfa5JTx6NB1wAorrFYrdAM63Oi7geiQaMGneVChIWSKyJyXiYrmCgR4B/Da3XViikQiQYh/\nCEL8Q5AQlsC1G8wGrvhcvn0ZLMvCaDGCxf+j+CaLCXJfOVcYfKQ+8JP5ORz2sRWM0ZZ5e3k77e3F\nzYgbdYjzfnvI+6FxxcOyLBiWGbEIDS9QQoYijYNGbvsyiQzT/Ycmxwg9zYMKDSFTxIMyMSXQJxBx\nijjEKeLQ1NWELn0XGCsDi9XC9SYigyKxO233fY3L3fI73ngkEglkkqFZsvfOlJ2IkvMluK67DoZl\nIPOScZM5hJ7mQYWGkClksq4D5y5s08elXlJIvf4frhKrl+Zu+XWXeJ6e9/TQ5wQpr13o50SFZhiG\nGToDXKvVihwJIQ++cIRj/az1uHDtAm7130LoQ6FIm5OGcDYcnZ2dYodH/iPkc7J9Z9q+Q+9FhWaY\n7u6h2wHk5OSIHAkhnukbfCN2CESAkT6n7u5uPProo7w2Oo9mGJPJhJaWFigUCkilUudPIIQQAoZh\n0N3djfj4ePj58c/hokJDCCHEpegm6YQQQlyKCg0hhBCXokJDCCHEpajQEEIIcSkqNIQQQlyKCo0A\nGo0GW7ZsQUJCAlJSUvDBBx84PCmJjO7UqVOIjY21+1dZWcmtw7Is1Go10tLSoFQqkZOTgz/++EPE\nqN1be3s73n77baxbtw5xcXHYvHmz3TpCc0r7uT0h+U1PT7fbp5cvX263nifnl07YdEKn00GlUiE6\nOhrl5eXo6OjAgQMHYLVaUVxcLHZ4U9LRo0d58+wjIyO5v48cOYLy8nK88cYbiIqKwhdffAGVSoUz\nZ85Aobi/l42fCv766y9cuHABCQkJsFgsDtcRklPazx0Tkl8AWLt2La8IeXvzb4vt8fllyajUajWb\nnJzM9vX1cW1HjhxhlUolr404d/LkSTYmJoY1GAwOl5tMJjYpKYn96KOPuLb+/n728ccfZ8vKyu5X\nmFMKwzDc34WFhWxubi5vudCc0n7umLP8sizLrly5kn333XdH3Y6n55eGzpyoq6tDSkoKAgP/vwpq\nZmYmTCYTLl68KGJkD57m5mYYDAasWbOGawsICMDKlSvx448/ihiZ+/LyGv2/sNCc0n7umLP8CuXp\n+aVC40RbWxuioqJ4bbNmzYK/vz/a2tpEimpqW716NebPn4+MjAwcP36ca29ra4NUKsWcOXN468+d\nO5dyPU5Cc0r7+cR8/fXXiI+Px+LFi7F9+3Z0dXXxlnt6fukYjRN6vR7Tpk2za5fL5dDr9SJENHUp\nFAoUFRVBqVSCYRicPXsW77zzDkwmE1QqFfR6PQICAuyuMRcUFASj0Qiz2QwfHx+Rop+ahOaU9vPx\nS09PR2JiIsLCwtDa2orDhw8jJycH1dXVXE49Pb9UaMh9k5qaitTUVO5xWloaBgYG8MknnyAvL0/E\nyAgZv127dnF/JycnY9GiRcjKysLJkyehUqnEC8yN0NCZE3K5HAaDwa5dr9dDLpeLENGDJSMjA729\nvejq6oJcLsfdu3ftpnzqdDr4+/tTb2YchOaU9vPJExMTg8ceewy///471+bp+aVC40RUVJTdGOrN\nmzdhNBrtxlzJ2N17H/eoqCgwDIP29nbeOo7Gt4kwQnNK+/nkkkgkdvu2J+eXCo0TK1asQH19Pe/X\nyNmzZ+Hn54clS5aIGNmDoaamBg8//DBmz56NpKQkBAYG4rvvvuOWG41GnDt3jjfkRoQTmlPazyfP\nlStX0NbWhgULFnBtnp5f6Z49e/aIHYQ7mzdvHr766is0NTVh5syZaGxsRFlZGbZs2YK0tDSxw5tS\nCgsL0dnZCYPBgKtXr6K8vBxnzpzBjh07kJiYCJls6JChWq2GXC5Hf38/9u/fD61WiwMHDiAgIEDk\nd+B+jEYjamtrodFoUF9fD51Oh+nTp0Oj0WD27NncibHOckr7uWPO8tvQ0IAPP/wQAwMD6OnpQV1d\nHXbv3o3g4GCUlpZyQ5Oenl+68ZkAGo0GpaWluHTpEuRyOTZu3IjCwkK6A+cYlZWVoaamBlqtFizL\nIjo6Gnl5ecjKyuLWYf+7XEplZSV6e3sRHx+PXbt2Yf78+SJG7r46OzuxatUqh8tqa2sREREhOKe0\nn9tzll+DwYD9+/fj8uXL6OvrQ3BwMFJTU1FcXIzQ0FDe+p6cXyo0hBBCXIqO0RBCCHEpKjSEEEJc\nigoNIYQQl6JCQwghxKWo0BBCCHEpKjSEEEJcigoNIQLYbkPd2dkpdig81dXVWLp0KUwm06RtMz09\nHW+99da4npudnY2DBw9OWizkwUBXbyYeKzY2VtB6tbW1Lo5kfCwWCw4fPozNmzfzbo0tphdffBGv\nv/46tm7diunTp4sdDnETdMIm8VhVVVW8x0ePHsWNGzewc+dOXvvq1avh6+sLi8UCHx8f3sUSxfT9\n99+jqKgIdXV1UCgUk7Zds9kMiURid997IaxWK1asWIHs7GwUFBRMWkxkaqMeDfFY69ev5z2uqalB\nb2+vXbuNu10q5NSpU0hOTp7UIgNgQrdj8PLyQkZGBqqqqpCfn+82RZmIi47RECKAo2M06enpePXV\nV9HQ0IANGzZAqVRiw4YN+OWXXwAAp0+fRkZGBhYuXIjc3Fxcv37dbrvNzc144YUXkJSUhMTERKhU\nKrS0tDiNZ2BgAPX19Vi2bJndstjYWOzbtw/V1dV46qmnkJCQgJycHFy7dg0AUFFRgSeffBJKpRLb\ntm1Db28v7/nDj9HY3vulS5ewb98+PPHEE0hMTER+fj7u3Llj9/rLli1DR0cHrly54vR9EM9AhYaQ\nCWhra8Obb76JVatWobi4GFqtFq+88gpOnDgBtVqN559/Hi+99BJ+/vln3p0YAaCxsRF5eXkwm83Y\nvn07ioqKoNVqkZubC41GM+rrtrS0YHBwcMSLjTY1NeHQoUN47rnnsG3bNvz2228oKCiAWq3Gt99+\ni61btyI7Oxvnz5/He++9J+i9lpSUQKPRoLCwEJs2bcK5c+dQWlpqt158fDyAoSJKCEBDZ4RMyNWr\nV3HixAkolUoAQGhoKIqLi3Hw4EHuXjvA0IH7Tz/9FDdv3kR4eDisViv27NmDlJQUqNVqbnsbN27E\nmjVr8PHHH+PQoUMjvq7tJloREREOl1+7dg01NTUIDw8HAMhkMrz//vs4ffo0qqurueGx27dvo7q6\nGiUlJU6PyYSEhKCiooIbDrNarTh27Bj6+vowbdo0br3Q0FB4e3ujtbV11O0Rz0E9GkImIDY2lisy\nAJCQkABgaPjJVmQAcOvYht7+/PNPtLe3IzMzE3fu3OH+DQ4OYvHixbh48eKor2sb7goKCnK4fPny\n5VyRuTeutWvX8o7BKJVKmM1mdHd3O32v2dnZvGMuycnJYBgGXV1ddusGBQWhp6fH6TaJZ6AeDSET\nMGvWLN5j2y/7sLAwh+06nQ4AuOMlO3bscLhdLy9hvwFHmjQ61rj0er3dc4a7t3AB4O51r9frBcdF\nPBMVGkImYKSC4GyGmu2LeOfOnYiJiRnz6wYHBwMY+pJ3NOtsrHEJKQxjea5er+f16Ihno0JDiAgi\nIyMBDPUKHM0ccyYqKgrA0FDc3LlzJzW2ibp16xYGBwfdLi4iHjpGQ4gIFixYgMjISHz++ecwGo12\nyx1NG75XfHw8vL298euvv7oqxHGzTc9etGiRyJEQd0E9GkJEIJVKsXfvXrz88stYt24dsrKyMHPm\nTGi1WjQ0NOCRRx4Z9Zphvr6+SElJwU8//eR2Z+A3NjYiIiJC8CV+yIOPejSEiGTp0qU4fvw4YmJi\ncOzYMezduxdVVVWIjIxEdna20+c/++yzaG5uxt9//30fohXGarWipqYGWVlZdFUAwqFrnREyRVks\nFmRmZuKZZ55Bfn6+2OEAGLoA6WuvvYYffvgBM2bMEDsc4iaoR0PIFCWTyVBQUIAvv/xyUm8TMBGf\nffYZcnJyqMgQHurREEIIcSnq0RBCCHEpKjSEEEJcigoNIYQQl6JCQwghxKWo0BBCCHEpKjSEEEJc\nigoNIYQQl/oX2mMKUIiJxFcAAAAASUVORK5CYII=\n", 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siES5VjUIRo0tmojjLRrtOlNKqcBaNH/DWiHgPWA11od3kxGRC4AXgKeB5UAP\n4CGsPXAuriG5NJqaWjTadaaUUt4CSTRXAwuNMb8KdTB++gvwH2PM710HROR7rJUJrgSWYiW/TiIS\n7pN4EoGSULRmwLtF496PJjwam82Gw+GgvKqcSnul19wapZRqbwItBtgQ0igaZgDgNRfGGGOAY0A/\n56GtWF136TXcuzVUgdS0TYDNZvMep9FWjVKqnQsk0fwHuDDUgTTAXmCk5wERGQh04PjSOGuAAuA6\nj2tisebTLA9VIDVtEwDe4zRaEKCUau8C6dP5I/COiPwNeBHYh1Xh5cW5EGdjeAGYLyJZHB+j+SNW\nkvnQ+dqlIjIXmC0ieVitmJlYiXVBqAKpqUUDOk6jlFKeAkk0u5z/jgDqGqdplKoz4BmgHGtpmbuw\n5tB8CdzvnCvjMhcrsdyPVR33HTDGud10SNTWotFJm0opdVwgiWYOzv1omoMxxgE87/yq77pHnV8h\n53A4sDvs7sdhtuO9kDqXRimljgtkm4CHGiGOVsez2yzMFobNdnzOqtcYjXadKaXauWBXBrBhrYwM\ncMjZimgXapqs6eI5RqNdZ0qp9i6g8maxLMFacyzH+ZUvIm+JiIQywJbKs0XjO09Gu86UUuq4QJag\nGYq1IkAU8C7H56UMAK4CxorIOcaYTSGLsgWqrRAAdBkapZTyFEjX2RNYlV7nGmP2ep4QkTSsJDQX\nuDT48Fqu2kqbQcublVLKUyBdZ6OB532TDLhXbH4BODvYwFq6ulo02nWmlFLHBboETV2D/u2iIKDO\nFo12nSmllFsgieZrYKqIpPqecB6bgrUETJvmd4tGu86UUu1cIGM09wOfA0ZE3gG2OY8L1srOVVjb\nKLdpfo/RaNeZUqqdC2TC5gYROR1rxv3VgOvP9xLgI+ABj50u2yytOlNKKf8ENGHTmUj+R0TCgG7O\nw7nGGHsdt7Updc2j8WzRlFaW4nA4vFYOUEqp9iSolQGciSVki1S2JpX2Svf3vl1nYbYwYiJi3Emm\ntLLUK/kopVR7EmjVWbtXV9cZ6DI0SinlUm+LRkTsgB2INcaUOx/XV8LsMMa06f2L6yoGAGucJo88\nQAsClFLtmz/JwLUtQKXP43atvhaNljgrpZSl3kRTw7YAr2AN/Nf46encMrlrTefaknpbNNp1ppRS\nQGBjNLuB/6nj/OXOa9q0BrVotOtMKdWOBZJo6qvTjcQa02nT/BmjcdGuM6VUe+bXgL2IxAOdPQ4l\nOVdq9tUZuBHIDkFsLZpWnSmllH/8rQybAfzR+b0D+KvzqyY2rGVq2rT6WjTadaaUUhZ/E80KrD1o\nbMA8YBGw3ucaB1AMrDfGfB+eoCPtAAAgAElEQVSyCFuoels0ugyNUkoBfiYaY8xaYC2AiCQA7xhj\nNjdmYHURkQjgt8AdQBqQCywxxszwuMbVspqCVQW3DpgeqiTYkKozHaNRSrVngSyq+XBjBNJArwEX\nAg9jbSXdGzjZ55pZwGzgd85rZgIrRWSwMSYn2AC06kwppfwT0Ox9EYkBrgFGAglUr15zGGPuCDK2\n2l57HHADMKy2VaKd8c0CHjfGPOs89jWwB5gGPBBsHA0Zo9GuM6VUe9bgRCMiJwCfAidijdskAEew\nKs7CgUNAUehCrOZ24JN6tiI4C4gH3nIdMMYUi8gyYDyhSDQNGKPRrjOlVHsWyDyaJ7GSyxnASVgF\nAjcAnYDfA8eAsaEKsAanA9tE5FkRKRCREhFZKiI9Pa4ZgLUB23afe7c4zwWtQWM02nWmlGrHAkk0\nFwJ/M8Z8y/GJmTZjTJkx5klgFbWXPodCMnAbMBxrzs4k4BTgXWcBAEAiUGSMqfK5Nw+IFZGoYIPw\nbNH47kcD1avOHI52vzycUqqdCmSMJhZrrAOgAKusOcHj/NfAU8GFVSeb8+tKY8xhABHJxtpe+kKs\nRNfovPajqaHrLDI8koiwCCrtlVTZq6iwVxAVHnR+U0qpVieQFs0+IBXAGFMJZGJ1o7mcDJQGH1qt\n8oAfXUnG6UugnOOVZ3lAJxHxzQCJQIkxpjzYIOrrOgNdwVkppSCwFs0nwJVYpcVglRrfLyKJWInr\nFuCNkERXsy1ATA3HbRzvytuKVZiQDhiPawY4zwWtvmIAsMZpCsoKAKv7LCEmocbrlFKqLQukRTMX\neFREop2PHwNeB67FSkD/wpqz0lj+CwwREc+tCM7FWszzB+fjNVjdete5LnBuX3A5sDwUQfjTovGq\nPNOCAKVUOxXIhM19WN1nrselwGTnV1P4OzAdWCYijwFxwBPASmPMl66YRGQuMFtE8jg+YTMMWBCK\nIPxp0WjXmVJKNTDROFsFy4BFxphXGyekuhljCkTkQuAZ4N9YYzPvYy386WkuVmK5H0gCvgPGGGMO\nhCKOho7R6KRNpVR71aBEY4wpEZFTgMWNFI+/cewALq3nGgfwqPMr5Pwdo3HRrjOlVHsVyBjNR8DF\noQ6ktWnwGI12nSml2qlAqs5mA0tF5FXgRaxtm6t9ihpjCoKMrUVr6BiNdp0ppdqrQBKNqzz4ZOAX\ndVxX86dvG+E1YbO2Fo3usqmUUgElmjlYqwG0a15dZ7WN0Wh5s1JKBVTe/FAjxNHqeHWd6coASilV\nq0C2CUgDco0xNX5yikgHoJtzvk2b5U+LZvvh7azPXk9JRQm7ju7ijNQzGNVrVFOFqJRSLUIgVWe7\ngf+p4/wVzmvatPpaNOsy17F0y1KKK4px4OBIyREWbljIusx1TRmmUko1u0ASja2e85EcX3Oszaqv\nRbN8x3Kv7QNKK0s5cuwIK3asaJL4lFKqpfCr60xE4rF20HRJcnah+eqMtUdMdghia9Hq248muzCb\nqPAoOkV2oqiiCDt21mev5+fcn8kqzCIlLoXx6eO1K00p1eb5O0YzA/ij83sH1sZmtW1uZsNa9qVN\nq2/CZkpcCpkFmQzsOpAfD/7I0dKjHC07SlFYEQeKDmB32Fm4YSGAJhulVJvmb6JZARzFSiLzgEXA\nep9rHEAxsN4Y833IImyh6puwOT59PAs3LKRDZAeG9hjK/+36PwA6RnVk6+GtRIVHkRCTwIodKzTR\nKKXaNL8SjTFmLbAWQEQSgKXGmB8bM7CWrr4WjSt5rNixwuoq65RilTjbwIGDXUd3MbzHcLIKs5os\nZqWUag6BzKNxbXiGiHTC2rWyWoFAmy9v9mMJmlG9RrkTzpzP57DzyE6+y/oOO3YKyws5cuwIw5KH\nNUm8SinVXBpcdSYiMSLyuIgcBPKBPVjlzL5fbZo/i2p6Gp8+npiIGFLiUtzH9uTvYWy/sY0Sn1JK\ntRSBLEHzN+A24F1gNZAXyoBaC39aNJ5cLZv3t77P++Z9YiJi6J3QG5utvmpxpZRq3QJJNFcDLxlj\nfhXqYFoLh8OB3XF8qlCYzb+Goasr7dRep/LGD2+wL38fd/33Li6Xy7ms/2VaFKCUapMCSTQAG0Ia\nRSvj223W0FZJUockth/eTqXDWgF6Y/ZGsgutqUeabJRSbU0gKwP8B7gw1IG0Jg3tNvP16Z5PSY1P\ndT/em78Xu8OuqwYopdqkQFo0fwTeEZG/YW18tg+o8r2oLW981tBCAF/Zhdn0iutFVmEW5fZyyqrK\nyC7KrnGFAaWUau0CadHsAkYAd2F1oR3CKgjw/Wqzgm3RpMSlEB4WTu/43u5j+/P3071j95DEp5RS\nLYlufBaAYFs0rlUDUuJSyCjMoKyqjHJ7OUkdkkIZplJKtQitfuMzEekFGKAjEGeMKXIed625NgXo\nCqwDpodieZxgWzSeqwbkFueSWZhJ74Te7D66m5KKEq8N05RSqrULalBARE4CugGbjTH5oQmpwZ4E\nirASjadZwGzgd8BWYCawUkQGG2NygnnBYFs0cLzUucpexYOfPcjPuT+zet9qrll8DWf2PlNXdlZK\ntRmBjNEgIr8QkQxgC/AFcIrzeFcR2SUiE0IYY11xnAuMA57yOR6DlWgeN8Y8a4xZCVyH1eU3LdjX\nDbZF4yk8LJx+if3YcmgLxRXF7C/Yz+683bpJmlKqzQhkCZobgdeATVitBPckEmPMIWAjcEuI4qsr\njnBgAdaY0SGf02cB8cBbHrEVA8uA8cG+tmeLJhSVYnvz9xIbEet+btecGi13Vkq1BYG0aO4HVhhj\nLsXaLsDXOmBoUFH55y4gGniuhnMDsEqut/sc3+I8F5T6tnFuqANFB0hLOL6P3MGSgzgcDl3ZWSnV\nJgSSaAR4v47zh7AG3xuNiCQBjwAzjTEVNVySCBQZY3zn9+QBsSISFczrV9or3d8H23UGVrlz19iu\n7uc6VnmM4opiesb1DPq5lVKquQWSaPKBLnWcHwAcCCwcvz0KfGOM+bCRX6dGoSgG8DQ+fTxhtjCv\n8uaDxQcZlz4u6OdWSqnmFkii+QiYLCJxviecVWi/BP4bbGC1EZFBwO3AHBHpLCKdAVc9cIKIdMBq\nuXRyjuN4SgRKjDHlwcQQymIAsCrQJo+czJDuQ7Bho1NkJ3rG9eTUnqcG/dxKKdXcAhnJ/gPWbpub\nsdY9cwA3icjNwA1ALvBw7bcHrT8QCXxdw7kM4GXgX0A4kI41x8ZlAFapc1BC3aIBK9mMSBnBfR/f\nR3F5MQA7juygf1L/kDy/Uko1lwa3aIwxGVjlzCuBm7CqziYB1wBLgDOMMQdDGaSPL4ELfL6ecJ67\nFGtezRqgAKukGQARiQUuB5YHG0CoWzQuEWERjEwZ6X78XdZ3IXtupZRqLgHV5jonPN4B3CEi3bAS\nVq4xxl73ncFzllB/5nlMRE50frvaY2WAucBsEcnj+ITNMKyS6KA0RovG5bRep7F672oA1mev54bB\nN/i9341SSrVEQU8CMcbkhiKQRjAXK7HcDyQB3wFjjDFBFyo0VosGIL1LOp1jOrP9yHbWZ69nwtsT\nGNR9kK4UoJRqtRqcaETkr8ClxpiTajlvgGXGmN8GG5y/jDGvYU0i9TzmwKpOezTUr9eYLZowWxid\nYzqz5dAWAA4UH6BzQWcWblgI6MZoSqnWJ5A+mcuAxXWcX4w1FtJmNWaLBqzSZpfDJYcpr7KK5HSl\nAKVUaxRIokkF9tZxfh/Qu47zrV5jtmgAjlUccy9JU+moZPfR3QC6UoBSqlUKJNHkATV2mzkJUBhY\nOK1DY7doesb3pG9iX/fjA8UHOFp6VFcKUEq1SoFO2LxLRIb4nhCRYVhrkH0UbGAtWWO3aManj6dL\nhy50i+3mPrbjyA4u7ntxyF9LKaUaWyBVZ7OxluZfLyLvAj85jw8GrgIOAw+EJryWqbFbNK4B//e2\nvsd/tv2HmPAYeif05lCJ7yLVSinV8gWyw2aGiJyCNUnyCo5PiiwE/g38wTmps81q7BYNHN8YbUy/\nMbz545uAVQwwPHk4vRPa9BCYUqqNCWgmoDEmyxhzC9AZSHZ+dTbG/KKtJxnwbtGEYj+aupx7wrn0\nSewDWKtGP7nmSTZmb2zU11RKqVAK6lPSOVelMZebaZG8WjSN0HXmKcwWxi1Db+GJr54goyCDffn7\nWLlrJcOTh3Pv6fdis9lYvmM52YXZpMSlBDyxc13mupA8j1JK+Qoq0YhIJ6wVkW2+54wx+4J57pYs\n1Buf1adXfC8u6XcJsz+ZTWlVKQAbczZyw9s3YLPZ6BDRgcjwSHrF9WJ//n6gYRM7v9n/DY+ufpSM\nggyiwqM4qfwkMgsyG/w8SilVk0BWBogBHsRa6yypjksb/xO4mYR64zN/bMjewIjkEWw9vJW80jwA\niiqKAIiOiKasqoxdR3eRXZTNa9+/xqk9T8Vmq5b/q/k592fuX3U/OcU5AJRWlbIxZyP9u/RnxY4V\nmmiUUkELpEXzN+BW4D1gNda8mnalKYoBfGUXZhMZHsngboPZm7+XrMIsr4TncqzyGJ/u+ZQF3y7g\nupOvIyUupcbnO1h8kCU/LWHTgU0cKPZe/q3KUcXWw1spKi+i0l7Z6ONQSqm2LZBPkKuBhcaYX4U6\nmNaiscuba5ISl0JmQSY2m40TO5/ICQknsD57PTZsDE8eTnZRNvvy91HpqKRjZEd+OvgTW3K3cP6J\n53O5XE5spLXSwLGKY3y4/UNW7V7l/jliI2MprSylV1wvcktyOVZ5DICjpUd58qsn+dWpv6JLh7o2\nVVVKqdoF+qfqhpBG0co0R4tmfPp498KaADabjbSENGw2G+Fh4aTGp9K9Y3f25u+lc0xnAOwOO5/s\n/oR3trxDVmEWReVFxETE0DOup3syqM1m47L+l7Evfx9R4VGkxqey7fA2Dh07RO+E3uw5uoc/ffEn\n7hhxB4O6D2qSn1Up1bYEkmj+A1wIvBjiWFqNHUd2sD57PSUVJThwEBkW2ehjGa7nX7FjBVmFWfSM\n68nkkZO9jvVN7MvUUVNJiUth8ebFbDu8jdySXPdK0ABlVWXkl+VDVzgj9QxuGHQDJ3Q+gXWZ69zP\nM6bvGJJik9h8cDN2h53i8mIWfLuAy/pfxmUnXab74yilGiSQRPNH4B0R+RtWstkHVPleZIwpCDK2\nFmld5jq+2PsFxRXWdsuHig812RL+rkmcNR33NfPMmWzM2ciMFTOqnYsJj6F7bHd+d9bv3AUDNT33\njiM7eGn9SxwtPYrD4eC/2/7Lrrxd3DHyDjpFdQrRT6WUausCSTS7nP+OAOoap2mTVWfLdyzH4XC4\nH7s+qFtahZbNZmNkykgGdh1I36q+7phtNhuRYZHYbLZ6q9LSu6Tzv+f+Ly9veJmth7YCVpXan774\nE7885ZdeC38qpVRtAkk0cwBHvVe1UdmF2V7VXq5upJa6hH/P+J7uOTFex/1cCTo+Op57zriHZWYZ\nH27/EIC8Y3k8teYprjv5Os4/8Xy/yqiVUu1XIGudPdQIcbQaKXEpfJPxjftxTEQM4P8Hd1PzLSJw\nGZc+zu/nCLOFceWAK+mb2JdXNr5CSUUJVfYq/r353+w4soNbht3ifh+UUspXUKO6ImITkW7Or3bx\nZ+2YvmMoqyoDwIbN/QHbkA/upjSq1ygmj5xManwqYbYwUuNTmTxyckDdfEN6DOGBcx/ghM4nuI99\nl/Udj69+vMW26JRSzS+g8mYREeBPwFigo/NwsYisAGYbY0yI4mtx+iT2YUDXAezP30+Vo4q0hDTG\npY9rUeMzvmorIghEUmwSvzvrd7z101t8sfcLAHKKcnh89ePcPPRmTk89PSSvo5RqOwJZgmYo1ooA\nUcC7wFbnqQFY+9GMFZFzjDGbQhZlC5JbnEu32G50i+3GgK4DmHFm9aquti4yPJKbht5Evy79WLRp\nERVVFZRXlfPKxlf4eNfHVFRVcLD4oC7OqZQCAmvRPAEcBc41xuz1PCEiaVhJaC5wafDhVSci1wG3\nAKcACYABnjLGvOlz3Z3AfUBvrM3Z7jPGrAr29Q8WH1+sunvH7sE+Xat2RuoZpCWk8cJ3L3Cg6AC5\nJbl8se8L4qLiGNh1IJkFmU1W+q2UarkCGaMZDTzvm2TAvWLzC8DZwQZWh5lAETADa+O1T4F/icjd\nrgtEZIIzjjeA8ViJ5r8iMjjYF88tyXV/361jtzqubB96xvXkD+f8gZEpI9mXby3YXVheyIbsDeQU\n5eBwOFixY0UzR6mUak6BLkFTV3lzY5c+X26M8dzT+BMR6YmVgBY4jz0EvG6MeQRARD7HmvczC7g5\nmBfPLfZINLGaaMCqvPvlKb/kv9v+y868nThwUOmoZNuRbRwqOVTj4p9KqfYjkBbN18BUEUn1PeE8\nNgVYE2xgtfFJMi4bgZ7OGPoCJwFvedxjB5ZgtW6C4tl1pi2a42w2G6N6jWJYj2F0iOjgPn6k9Ahb\nD29lbcZar4muSqn2I5AWzf3A54ARkXeAbc7jgrWycxVWy6EpnekRxwDnv1t9rtkCdBGRbsaYXAJg\nd9g5fOyw+7G2aLyNTx9PZkEmI5NHsufoHjKLrImiyZ2SeWXjK6zPXs/NQ28mPjq+mSNVSjWlQCZs\nbhCR04FHsRJLrPNUCfAR8IAx5ufQhVg3EbkIq9rtduehROe/R30uzfM4H1CiOXLsiHtp/fjoeKIj\nogN5mjbLc+HPyPBIBnUfREFZAVHhUQD8kPMDO47sYOKQiZyScoquKKBUOxHQGI0zkfyPiIQBrj/r\nc51dVE1GRE4E/gW8b4x5rbFfz3N8pr1XnNXGd85OWWUZS7cs5bM9nwFQXF7MS+tfYn3KeiYOmUhc\ndFwzRaqUaip+JRoRiQQeAXYZY/7uOu5MLAc8rvsl0AerVVNtRedQEpEuwHJgL3CTxylXyyUB71ZN\nos/5BtOKs4aLjohmwpAJjEgZwevfv86RY0cAa2vq7Ue2M3HIREamjGzmKJVSjcnfYoA7sKq6vqjn\nutXAb4DbgoipXiISC/wXa9Lo/zPGlHic9pxA6mkAcCTQ8RnQFk0wBnQdwIPnP8g5J5zjPlZYVsiL\n373Iwg0LKS4vbsbolFKNyd9EMwF41xjjO8DuxRizBXiHIEuI6yIiEVgVZP2BccaYg57njTG7sAoD\nrvO4J8z5eHkwr+1VcaaFAA0WExHDzUNvZvrp0927gIK1x89Dnz3EDzk/NGN0SqnG4u8YzTA8yoXr\n8SXWOmiN5W9Yqw7cAySJSJLHuY3GmDKseTSLRGQP8BVwK1ZimhjMC2vXWWgM6j6IB89/kCU/LWHN\nfqsSvqCsgL+t+xunp57OjYNvJDYytp5nUUq1Fv4mmhjgmJ/XHnNe31gucf77dA3n+gB7jDFvikgn\n4PfAbKyVAf6fMWZzoC/qcDh0smYIxUbGcuvwWxmRMoJ//PAPCsqsDVnXZqzl092fEh8dj91hD2q9\ntHWZ61i+YznZhdm67ppSzcjfRJMFDPLz2kFAdmDh1M8Yc6Kf170EvBSq1y0oK6C8qhywPiQ7RnWs\n5w7lj6E9hvLQ+Q+x+KfFrM1YS25JLlsObQGge2x39hzdw9f7v2Zs+lhOSjrJ7+fddngbH+34CLC6\n7CqqKnTdNaWaib+JZiXwCxF5zBhzuLaLRKQr8AusVZ3bFF0RoPF0jOrI7SNuZ0TyCKZ9OM19/GDJ\n8ff8n5v+2aDqtPXZ6ymuOF5gEGGLoFtsN9788U1O7XmqzuFRqgn5WwzwBNa+M5+KSI1/DjqPr3Je\n92Rowms5PMdntOKscYxIGcHArgNr7Jb0TBr+KKko8Xpc6agkuzibFTtX8PDnD7Ny10oKywqDilcp\n5R+/WjTGmJ0icgPW5MhvRGQnsBkoBOKAwUA/rPGZCcaY7Y0Ub7PR8ZmmkdY5jfCwcJKPJZNflu8+\nntQhifH9/V+qrqCsgCPHjmB32Dly7AgllVbi6RjZkezCbJb8tIR3fn6HYcnDGN17NIO6DyLMFtSG\ns0qpWvi9MoAxZpmIDMPa4+X/YS374pINLAT+bIzZGdoQWwbtOmsa49PHs3DDQhI7JJLYIdF9vKHb\nT/eK6+Uek+nTuQ+F5YXkFOV4tUbtDjsbszeyMXsjCTEJnJl6JqPTRmuLVakQa9ASNM45KncBiEgc\nEA8UGGPafB+EV2mztmgajed6aVmFWfSM6xnQVtm+z3Nyt5OZeeZMhvQYwvqs9Xy1/yt2Hjn+N1F+\naT4rdqxgxY4V9E/qz+jeoxmZMlLXs1MqBGy6dLs35/ppu1etWkVqqrUTwrrMdUxfMZ380nxiI2N5\ncsyTXNDngmaNUwUvpyiHr/Z9xTcZ37jLqz1FR0Qzquco4qLi+OHAD+QU5bSZMmkt/VahlpGRwUUX\nXQTQxxizx/NcoBuftRvrMtfx/LrnOVp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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -466,7 +466,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 73, "metadata": {}, "outputs": [ { @@ -478,9 +478,9 @@ }, { "data": { - "image/png": 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RjBo1ih9++IG8vLzyLjXJy8tjz549jBo1qkrB1XYlVTS3Mm9xKvEUR+OOEvZb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\nhBCv+j/FGp0rKGHB0gAAAABJRU5ErkJggg==\n", 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o0YOf/vSnrufPycnhD3/4A3PmzCE5OZn09HSOHDkCwLx585g+fTp33HEHq1ev5t5772XN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\nB09kVN9RfJ3/dZcrk5bSbxFsR48e5dJ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q4PEqv+uLwPmk90IvkaYamN7MdnmSHFLlce0I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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -512,7 +512,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 74, "metadata": { "collapsed": true }, @@ -533,7 +533,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 75, "metadata": { "collapsed": true }, @@ -552,7 +552,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 76, "metadata": { "collapsed": true }, @@ -570,7 +570,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 77, "metadata": { "collapsed": true }, @@ -591,7 +591,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 78, "metadata": { "collapsed": true }, @@ -627,7 +627,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 79, "metadata": {}, "outputs": [ { @@ -673,7 +673,7 @@ "dtype: float64" ] }, - "execution_count": 17, + "execution_count": 79, "metadata": {}, "output_type": "execute_result" } @@ -691,7 +691,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 80, "metadata": { "collapsed": true }, @@ -726,15 +726,15 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 81, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 203 ms, sys: 3.14 ms, total: 206 ms\n", - "Wall time: 199 ms\n" + "CPU times: user 192 ms, sys: 3 ms, total: 195 ms\n", + "Wall time: 192 ms\n" ] } ], @@ -751,7 +751,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 82, "metadata": {}, "outputs": [ { @@ -1157,7 +1157,7 @@ "[92 rows x 2 columns]" ] }, - "execution_count": 20, + "execution_count": 82, "metadata": {}, "output_type": "execute_result" } @@ -1175,7 +1175,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 83, "metadata": {}, "outputs": [ { @@ -1187,9 +1187,9 @@ }, { "data": { - "image/png": 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K5MmT8fX1NeV1cHBg2bJlREdHM3nyZBwdHenTpw/Tp0+32LWUZOtW1UGzTh24\ncEGlnToFmzeb12QIIYQQ1mSTAcXXX39dYp6lS5eW6lw+Pj7ExsaWtUgVxjiUtGFDuHwZsrIgMzN/\nem4hhBCiMrDJJo/7iXEoabVqqpOm0bVr+TUWQgghhLVVaA3F3/72t1LnvXTpUgWWxHaFh6vpt0GN\n9vjzT7XOR9268N//wrRp+RNgCSGEENZSoQGFq3H+6FLmLTx1tsjvJ5GQoGokunZVM2fWrg0nTqjR\nHx06WLeMQgghRIUGFHFxcRV5+vtG4aGk69eDcYTtunXQsqWaTVMIIYSwFulDYYP69QNPT3U/LQ0+\n/dS65RFCCCEqrIbiwj32GCw4rFMUz8kJhgyBDz9U+99/D+3bQ9Om1i2XEEKI+1eFBRRhYWFm01yX\n1rFjxyqgNFVPq1bQti0cPKj2166F2bPV2h9CCCGEpVVYQPH222+bBRR5eXmsXr2aCxcu8Pjjj5s6\nYOp0OjZv3kzdunUZNmxYRRWnSnrmGTh6FNLT1RofW7bAk09au1RCCCHuRxUWUBRcShxg4cKFZGZm\n8tVXX+Fp7ADwl6ioKAYPHszly5crqjhVkrs7PPUUrFmj9hMSVOdNaTUSQghhaRbrlBkfH88zzzxT\nJJgAqFmzJgMHDuSjjz6yVHGqjC5dICBA3c/Lg7g4teaHEEIIYUkWCyhSU1NJT0+/7fGMjAxSU1Mt\nVZwqQ6OBZ58Fe3u1r9PBrl3WLZMQQoj7j8UCiqCgIFavXs3x48eLHDt27BhxcXG0atXKUsWpUurU\nUTNqGn32GcjEo0IIISzJYouDzZ49m2HDhjFgwADatGlDgwYNADhz5gyHDh1Cq9Uya9YsSxWnygkP\nh0OH1GyaWVmwejVMnSrTcgshhLAMiwUUAQEBbNq0iSVLlrB7926OHDkCqHknhg0bxogRI/Dy8rJU\ncWza/v1qWfPk5PzaiZAQiIyEuXNVX4rff4fERHj4YWuXVgghxP2gQgOKtLQ0s/U8ateuzauvvsqr\nr75akU9bpe3fn79YGMD58/n7ISHQq5cKNgA2bIAWLdS6H0IIIURFqtA+FB06dGDYsGEsW7aMEydO\nVORT3TeMwUJhCQnqtl+//CXPMzNV04eM+hBCCFHRKjSg+Oc//4mfnx8rV67kiSeeICwsjDlz5rBr\n1y4yMjIq8qmrrOTk4tMPH4boaIiKAr0+v1Pmb7/Bt99arnxCCCHuTxXa5BEeHk74X8MPfvnlFxIT\nE/n2229Zt24d1apVIyQkhG7dutG9e3caNmxYkUWpMurUUc0cBaWkQFJSftPGzZtq0TCDAby91eJh\nzZtL04cQQoiKY7Fhoy1atGCmGuAFAAAgAElEQVT8+PHEx8fz/fff8+abb+Lp6cnChQsJDw+nV69e\nvPnmm+zZs4esrCxLFcvmFBweanTuHNSrZ57WoAEYp/XIzIT//Ed11hRCCCEqgsVGeRTk4eHBE088\nwRNPPIHBYODw4cPs3r2bxMRE/vvf/zJu3DgmTJhgjaJVeiEh6jYhQQ0R9fWFy5eL1j7Y2UHduuo2\nLw9OnYJt24oPSIQQQoiyskpAUZBGo6F169a0bt2aSZMmcfnyZW7cuGHtYlVqISH5gQWovhOFm0EA\nAgOhdWvYtEntb9yomj7+mgJECCGEKDcWCyguXLhwx+MajQYnJydq1apFbWnsvyvh4eZDSY3q11fL\nm//8M+TkqGaR//wHZswAR0fLl1MIIUTVZbGAIiwszGw589txcnKibdu2jBs3jrZt2xabZ+vWrXzx\nxRf8+uuvpKWl0ahRI1544QX69etnlu+TTz5h2bJlJCcn8+CDD/LSSy/RsWNHszwXL14kOjqa77//\nHkdHR/r27ctLL72Ei4vLvV+shRXXDFK/Pnz/vUpv0kTNommc9XzDBhg0yDplFUIIUTVZLKB46623\niIuLIzk5mccff9xs6u1NmzZRt25dBgwYwJkzZ9i4cSMREREsX76c9u3bFznXypUr8fPz45VXXsHT\n05Pdu3czbdo0rl27xrBhwwDYvHkzc+bMYcKECbRt25YNGzYwevRoPv30U5o0aQJAdnY2w4cPx8HB\ngffffx+9Xs/cuXPR6/XMnz/fUn+aclFcM4iRiwv4+8OJE2o0yK5d0LIlPPSQ5csphBCiarJYQJGS\nkkJ2djbbt29Hq9WaHZswYQJDhgwhIyODGTNmMG7cOJ566iliYmKKDSgWLlxIzZo1TfsdO3YkJSWF\nFStWmAKKBQsW0L9/f8aPHw9AaGgox44dY8mSJaZgYdu2bZw6dYqvvvqKen8Nk6hWrRpTp05lwoQJ\nNj2UtfB8FT4+cPWq2gBWroRZs6DQSyGEEELcE4sNG42Pj+fpp58uEkyAGvXx9NNPs3btWgA8PT0Z\nMGAAv/zyS7HnKhhMGDVr1oyUlBQAzp07x+nTp01zYADY2dnRq1cvvi0wy9Pu3btp2bKlKZgAeOSR\nR3BwcDDLZ4uMs2UaaTSq6cPTU+3r9ao/hcyiKYQQojxYLKBITU0lPT39tsfT09O5avz5DHh7e9/V\n+Q8fPkyjRo0A0Ol0APj7+5vlady4Mampqabn0el0RfI4OjpSv3590zlsVXHDQx0cYOLE/P1jx/Kn\n7BZCCCHKwmIBRcuWLYmLi+PkyZNFjp04cYI1a9bQqlUrU9qpU6dKHVT88MMP7Nixg+effx6A69ev\nAxSpDXF3dzc7rtfrcXNzK3I+rVaLXq8v1XNXViEhMGIE+PmpuSj8/KBTJzUV95kzavRHSooaSnrq\nlLVLK4QQwtZZrA/FzJkziYiI4IknnqBt27ZmnTIPHjyIq6srM2bMACAzM5Pvv/+exx57rMTzJiUl\nMW3aNHr27MmAAQMq9BpsTcGOmgVXKa1fH65dyx/1sXSp6k9Ro4Z1yimEEML2WSygaNq0KRs3bmTp\n0qV8++23HD58GABfX1+GDBnCiBEj8PHxAdTQ0U3G2ZjuIDU1lZEjR+Lr62s2KsNYE3Hjxg2zWgpj\nzYTxuFarJS0trch59Xo9TZs2vccrrZwKrlKq0UDTpmooaVKSWu9j1SoYO1YdE0IIIe6WRWfKfOCB\nB5g5c2a5nCs9PZ0xY8aQnZ3N4sWLzeaNMPaL0Ol01K1b15Su0+nw8PAwder09/cv0lciKyuLc+fO\nMaiKTdRQeNSHs7OaSfPoUbW/fTvs3QvVq6sOneHh5sNQhRBCiDuxaEBx4cIFvvjiC5KSktDr9RgK\nDTHQaDQsWLCgxPPk5OQwadIkTp8+TXx8PLVq1TI7Xq9ePRo2bEhCQgJdu3YFIC8vz2wfoFu3bkyf\nPp3z58+bAo+vv/6arKwss3xVQXGrlNaqBS1aqL4Ux4+r2olWrdTaH8bmEQkqhBBClIbFAoqNGzfy\n6quvkpOTg1arxdXVtUie0sykCfD666+TmJjIjBkzSE1NNTWfADRv3hxHR0eioqJ46aWXqFu3Lm3a\ntOHzzz/nzJkzvPvuu6a8vXr1YtGiRURFRTFp0iRu3LjBO++8Q79+/Wx6Dori3G567ilTVP8JUENI\njx1T6384OakRIBJQCCGEKA2LBRTvv/8+/v7+fPDBB6bhnffqu+++A9Tsm4Xt3LkTPz8/+vXrx61b\nt1i6dCmxsbE8+OCDLF682DRLJoCDgwPLli0jOjqayZMn4+joSJ8+fZg+fXqZylcZFTc9d+/eKr1+\nfbh0CbKy1HbsmKqpKGH5FSGEEMLEYgGFsQNlWYMJUM0SpTFw4EAGDhx4xzw+Pj7ExsaWuUy2oPD0\n3EYNG8KtW3DkiKql0OvVUNIePSxeRCGEEDbKYvNQtGnThnPnzlnq6cRdCA8Hd3e13odRcnLR2TaF\nEEKI27FYQDFz5ky2bdvGhg0byM3NtdTTilIwToIVGgoPPACurmpY6U8/gY1PGCqEEMJCLNbk0ahR\nI0aPHs3MmTOZPXs2Xl5e2NmZxzMajYYdO3ZYqkiiAGNzyMsvw9y5qv9ETg7ExsIrr6gRIUIIIcTt\nWCygWLp0Ke+99x5arZbAwMBip7wW1ufkBOPGwTvvwM2bcOMGxMSoQMPZ2dqlE0IIUVlZLKBYuXIl\nnTp1YuHChTg6OlrqacU98PJSs2a+/z7k5qraiqVLYfx4tS6IEEIIUZjFvh4yMjJ49NFHJZiwEQ8+\nCM89l7//yy/w6afWK48QQojKzWIBRbdu3Th06JClnk6Ugw4dzJdB37kTvvnGasURQghRiVksoJgy\nZQq///47b775JsePH+f69eukpaUV2UTl8uST0KZN/n58PBSYmFQIIYQALNiHwrgU+fHjx1m7du1t\n8x07dsxSRRKloNHA88/D1atw+rSa+GrpUpg8WTWLCCGEEGDBgGL8+PGlXqtDVC6OjtCxo5q2+9Il\ntSLprFnw7rtQYDFXIYQQ9zGLBRRRUVGWeipRzvbvh48+UlN0p6aq4aQ//wz/+Af8618yR4UQQggL\n9qEQtmvrVnXr7KyWO6/2Vxh6/Dh88IGaq0IIIcT9TQIKUaLk5Pz7rq7w0ENqPoqbN+HiRRVU3Lpl\nvfIJIYSwPgkoRIkKLxLm7q7W+qhRQ+2fO6eCiowMy5dNCCFE5SABhShRwbkojGrXhtGj8/dPn4Z/\n/xsyMy1WLCGEEJWIxTplCtsVEqJuExLUNNy+vtC7t0pv0gSMo4BPnVLrfnTsCDt25C+BHh6efw4h\nhBBVkwQUolSMq5EW1q2bWpX044/V/p49sH59fj+L8+dh2bL8cwghhKiapMlDlFlYGDz1lLp/7hxc\nu6bW/sjNzc+TkGCdsgkhhLAMCShEuXjsMTVNt3G0R2oq/O9/qvYCVFOJEEKIqksCClFu+vSBtm3z\n9/V6FVRkZ6t+F0IIIaouCShEuZo4ERo3zt+/cQOOHIEuXaxXJiGEEBXPJgOKM2fOMHv2bB5//HGa\nNWvGsGHDiuQJCwsjMDDQbOvcuXORfCdPniQiIoKgoCC6dOnCBx98QG7Bxn9xV0JCYM4cFUDY2amJ\nsOrVg6+/hsuXrV06IYQQFcUmR3mcOHGCxMREgoKCyDE20hejX79+ZsGGg4OD2fHr168TGRlJQEAA\nsbGxnD17lnnz5pGXl8eUKVMqrPxVnXFEyL59sGIF5OVBSgrMnQtRUdCggbVLKIQQorzZZEARFhbG\nI488AsDEiRO5du1asfm8vb0JDg6+7Xni4+PJzMwkJiYGV1dXOnfuTFpaGjExMYwcORJXV9cKKf/9\nIjQUnJzUcufZ2ar549131YRYDz1k7dIJIYQoTzbZ5GFnVz7F3r17N126dDELHPr27UtGRgb79u0r\nl+e43wUFwZQpaslzUDNpxsTA999bt1xCCCHKl00GFKX16aef0qJFC9q2bcvEiRM5f/682XGdToe/\nv79Zmq+vLy4uLuh0OksWtUpr3BimT4eaNdV+Xh6sWgWbN4PBYN2yCSGEKB822eRRGmFhYQQHB+Pj\n48OpU6eIiYlh6NChbNq0CTc3NwD0er3pfkFarRa9Xm/pIldpderAyy/DggWQlKTSNm1S03NHRICj\no3XLJ4QQomyqbA3FzJkz6devH+3ateOZZ55h+fLlpKSksH79emsX7b7l4QEvvQTNmuWnHTgA//yn\nml1TCCGE7aqyAUVhTZo0oVGjRhw9etSUptVqSUtLK5JXr9ej1WotWbz7hrOzGunRo0d+2tmz8Pbb\nIK1MQghhu+6bgAJAo9Gg0WhM+/7+/kX6SiQnJ5Oenl6kb4UoP/b2MGgQDB2q5qoANavmu+/Cd99Z\nt2xCCCHuzX0TUPz+++/odDoeKjBesVu3buzZs8eslmLLli04OzsTGhpqjWLeV7p1UyNAbtyAgwdh\n1y6YNElNjJWVZe3SCSGEuBs22SkzPT2dxMREAC5evEhaWhoJfy1n2b17d/bu3cvGjRt5+OGH8fb2\nRqfTsXDhQurUqcOAAQNM5xk0aBBxcXFERUUxcuRIzp07R0xMDJGRkTIHhYVcvw7G+cYMBrh5Ez75\nBC5ehOho8Pa2bvmEEEKUjk0GFFeuXGHSpElmacb9nTt34uPjw5UrV3j77be5ceMGHh4edO3alSlT\nppgFCu7u7qxcuZLo6GjGjBmDVqslIiKCqKgoi17P/WzrVtWvIjgYTp5UgQSoGou33oLISGjd2qpF\nFEIIUQo2GVD4+fnx22+/3THPqlWrSnWugIAAVq9eXR7FEvcgOVnd2ttDkyag1cKpU6qmIiMDFi1S\nTSNPPy1DS4UQojK7b/pQiMqpTp38+xqN2g8OBi+v/PTdu9UokHPnLF8+IYQQpSMBhbCq8PCiaa6u\n8Oab0KZNflpyslpcbMcOmV1TCCEqI5ts8hBVR0iIuk1IgAsXwNcXevdW6V26qDU/4uPVqI+cHFi3\nDn75BZ57Ln8qbyGEENYnAYWwOuNy54VpNNC5MwQEwPLlcOaMSj92DF5/Hf7+dxV0FJhaRAghhJVI\nk4eo9B54QC0u1qtXfvCQkQFr1sAHH8CVK9YtnxBCCAkohI2oVg0GDFCBxQMP5Kcbayt27VKrmAoh\nhLAOCSiETfH3h1mz4LHH8msrMjNVP4t589S6IEIIISxPAgphcxwc4KmnitZWnD6thpd+8olqEhFC\nCGE50ilT2CxjbcW2bWrGzZwcNaR050410+aAARAaqpZI37pVDT2tU0cNVS2uE6gQQoh7JwGFsGkO\nDtCvnwoc1q6F48dVemoq/Oc/sHo1XLsGbm4q/fx5WLZM3ZegQgghyo80eYgqwdsbJk+G4cPV9N1G\ne/fCTz/Bb7+pvhZGf60lJ4QQopxIDYWoMjQaVVPRqhVs2aKaPm7dUscuXoRLl6BuXahXT02iJYQQ\novxIQCGqHGdn1X+ia1c16uPkSZWel6fWA0lOVuuFZGaCk5N1yyqEEFWFNHmIKsvLC2bPVjUWBVat\nJycH0tJg5kz4+mvIzrZeGYUQoqqQGgpRpYWEwIsvqlEeR47A5cvg6an6XOj18PHH6tijj0L37lJj\nIYQQ90oCClHlFVwrJC9PLTi2aZMaCQIqsFi/XnXUNAYW1atbr7xCCGGLJKAQ9xU7O7WgWPv2sGeP\nmsPi2jV17OZN+PxzVWPRqRM88gjUrm3d8gohhK2QgELclxwcoEcP1XHzhx9UEGFcZCwzU60N8s03\n0Lq1Ciz8/WVVUyGEuBMJKMR9rVo1FVR06gT79sH27WryK1Czbh46pDY/P9UUEhqqRpEIIYQwJwGF\nEIC9PXTsCB06qBVMt2+Ho0fzjyclqZk4169XzSVdu6r5LIQQQigSUAhRgEYDzZur7cIF2LFD1VwY\nh5ZmZEBiotr8/FTNRmho/tTeQghxv5KAQojb8PWF556Dv/8dfvxRBRF//pl/PCkJYmLUrbOzCkIi\nIlSQIYQQ9xubnNjqzJkzzJ49m8cff5xmzZoxbNiwInkMBgOLFi2ie/futGrViqFDh3Ls2LEi+U6e\nPElERARBQUF06dKFDz74gNzcXEtchrAR1atDWBi89hpMm6ZqJBwcICVFLUaWlqbmt9i9G0aNghkz\n4Oef1QRaQghxv7DJGooTJ06QmJhIUFAQObf51F6yZAmxsbFMnz4df39/VqxYQWRkJJs3b8bLywuA\n69evExkZSUBAALGxsZw9e5Z58+aRl5fHlClTLHlJwgZoNNCkidrS02HCBLUQmV6fnyc3F776SgUY\nzs7QooWa5rtFC3BxsV7ZhRCiotlkQBEWFsYjjzwCwMSJE7lmnEjgL5mZmSxZsoRRo0bx7LPPAhAc\nHExYWBhr1qwxBQvx8fFkZmYSExODq6srnTt3Ji0tjZiYGEaOHIlrwfmahSjAxQUcHVWwkJ6uaisu\nXVKLkd28qfJkZMCBA2qzt4fAQDUNeIsWalpwIYSoSmyyycPO7s7FPnToEGlpaYSHh5vSqlevTo8e\nPfj2229Nabt376ZLly5mgUPfvn3JyMhg37595V9wUaXUqaNuXVygQQNo21ZtwcFFJ8TKzVWjRuLj\n1Rois2ap+7/8Yr6suhBC2CqbrKEoiU6nw97enoYNG5qlN27cmK1bt5rl69Chg1keX19fXFxc0Ol0\nhIWFWaK4wkaFh8OyZfn7Gg3UqAEjRkC7dmo+i59/hsOH1aqnBaWkqG3XLjV7Z6NG0LSp2ho1Un00\nhBDCllTJgEKv11O9enXs7e3N0t3d3UlPTycrKwtHR0f0ej1uxYz302q16As2jAtRDOP6IAkJaoip\nry/07p2f7uentr594epVtTjZr7+qjpxZWfnnycuDU6fU9uWXarKtRo0gIEBt/v6ytogQovKrkgGF\nEJZScOGxO6lZEx5+WG3Z2XDypGruOHpUBSMF5eTAiRNqA1XzUaeOCjIaNlS3vr6qX4YQQlQWVTKg\n0Gq13Lp1i9zcXLNaiuvXr+Pi4oKjo6MpX1paWpHH6/V6tFqtxcor7i8ODtCsmdoAbtyA335T2/Hj\nqimkIINBBR0XLsB33+Wfo149qF9fbfXqqSCjWpX8jxZC2IIq+fHj7+9Pbm4uZ86cwd/f35Su0+nM\n9v39/dHpdGaPTU5OJj093Szfvdi/Xy04lZysfl2Gh5ful6y4/7i5qT4X7dqpfb1e1WCcPKkWKNu/\nX40cqV5dBQ7e3qqWQ6dTm5G9PTzwANStm7/5+kKtWrKwmRCi4lXJgKJNmza4urqSkJDAuHHjAEhP\nT2fXrl0MHDjQlK9bt24sX76ctLQ000iPLVu24OzsTGho6D0///795p31zp/P35egQpREq4U2bdTI\nkJ07IShITZ5144ZaEdXdHZycij4uNze/JmP//vx0Bwfw8cnfHnhABSXe3jI3hhCi/NhkQJGenk5i\nYiIAFy9eJC0tjYSEBAC6d++Oi4sLo0aNIjY2Fnd3d9PEVnl5eWazag4aNIi4uDiioqIYOXIk586d\nIyYmhsjIyDLNQVFgIImZhAQJKETpGd9H9vYqiHB3V/t+fjBpEpw7p0aPGLfLl4s/T3a2ynvuXNFj\nbm5qTozatfO3WrXU5ukpTShCVCSDQfWZKo8tN/fujhfeT0pSHcPt7dXMwH373v33lU1+XFy5coVJ\nkyaZpRn3d+7ciZ+fH6NGjSIvL4/FixeTmppKixYtWLFiBbULTBDg7u7OypUriY6OZsyYMWi1WiIi\nIoiKiipT+ZKTi08v3PlOiDu50/tIq4WHHlKbUUaGOnb+fP6WnKxqNm7nxg21FWr5M3FzUx1KPT3V\nZgxs3N3Bw0OVo0YNNfRViMrOYFBfpNnZ6kvUeFvwfkm3BbfSHLtTWl6etf8iinEZAaNff83//Lmb\noMImAwo/Pz9+++23O+bRaDSMHTuWsWPH3jFfQEAAq1evLs/iUaeO+jAvzNe3XJ9GVHF3+z5ydlZD\nTAt3/7l5Uy1q9uef6kPCOAfGpUslrzdiDDjOnLl9Ho0GXF1VcOHmpu4X3GrUUP0/qlc3vy+jVO4v\neXml+9I2bgX3S/OY2z2+8Be5KKpg7WWNGup/Ge6+Vt0mA4rKrvCER0a9e1u+LMJ2ldf7qEYNaNxY\nbQUZDHDtmgourlxR2+XL+fdTU1WekhgM+YHH3XBwUH04jJuzs+obUvDW0VHdd3TM3xwc8m+Nm729\nap5xcFC39vb5W1XtkGowqC9p45aba37fuBXeN1Z1F5dWsCq8pCr02/3qvt2v/srya7wipaSoL+db\nt8w7Ud9JtWr3ttnbm7/fC/4f3C7/7dJeeUW9n+zs1L7xf+Zua9UloKgAJU14JERpVPT76MCBoiOR\nnngi/3heHly/riblunZNBRjXr6vNeF+vVx+e98L4S7Ki55Czs1MfnMZbjSZ/X6Mpeltwg6L3S8MY\niBkM5kGZcb+kLS/PPGAoHDwUPq8oPeOXqfHL2Hhb+H5xeQofL5h24gRs3KjmiTG+n+zs4PHH1ZT8\nxT22sgS8jRqVT626BBQVpLQTHglxJxX1PirNSCQ7u/y+E3eSk6NGoej1qpYiLU1tN2+qfeOCaQVv\n09PL/oVY2l+Dxi/h+8W9/Eq2BI3G/EvYuBXcr1ZNBc/Hjqn3Ts2aasRT06ZF8xlvHR3v/OVf+Lai\nvsB37Ci6hg/ATz9Bv34V85zlpbxqQyWgEOI+VJ4jkapVUx00PTxK/xiDQU0/np6ev2Vmqo6lBW+z\nssxvjbUaJ0+qLx6NRn1p5uXBH3+o5p3atc2r8u9FZf1SLsz4K9hY+5KSojrYajSqqSgvT40AeuAB\ndQ3GZqDCzUKF9wtWpZemyr00v+BL82vcGOjWqZO/+N7Zs/DYY5X/B5otd8Yvr9pQCSiEuA9Z+8PP\n+IXn5HR3gYhRdLRa1bUwPz+1kquRsamgcP+Cwk0JxluAQ4dg7Vr1q7jgeR5/XC0/f7vruVN64eaT\ngpuxqQVu3wxzp+aZwn+XYpYnom5dmDGj+DJWJrY85N7WO+OXR22oBBRC3Ids/cOvtAGRsb/E3Ywo\n2b9f1XQUZgtV19YOFMvKlssvnfEloBDivmSJD7+KnH6+IgMiW/5Ss/VA0ZbLL53xJaAQ4r5U0R9+\nFT39fEUGRLb8pWbrv5Jtvfz3e2d8CSiEuE9V5IdfRbeFV2RAZMtfarb+K9nWy3+/k4BCCFHuLNFs\nUFEBka1/qdn6r2RbL//9TAIKIUS5s+VmA5AvNSHuhSzpI4Qod+HhxafbQrOBEOLeSA3FPcr9a8ac\nP//808olEaLyqVMHnnwSEhPh4kU1sVL37io9KcnapRNC3Avj913ubWaMk4DiHl26dAmAoUOHWrkk\nQtiGzz+3dgmEEOXh0qVLNGjQoEi6xmCQJWbuRUZGBr/88gteXl7YyzrMQgghqrjc3FwuXbpEixYt\ncHZ2LnJcAgohhBBClJl0yhRCCCFEmUlAIYQQQogyk4BCCCGEEGUmAYUQQgghykyGjVaAkydP8sYb\nb3D48GHc3Nx4+umnmTBhgk2PBtm6dStffPEFv/76K2lpaTRq1IgXXniBfgXWcx42bBj79u0r8tgj\nR47g5ORkyeKWyYYNG3jllVeKpL/22msMHjwYAIPBwOLFi/noo4+4du0aLVu2ZObMmTRr1szSxS2T\n271mAPHx8bRu3ZqwsDDOF5r2snbt2nz33XeWKOI9O3PmDMuXL+enn37i5MmTtGvXjri4OLM8pX0d\nK/v/dEnXmpKSwooVK/juu+84d+4cWq2WDh06MHXqVB544AFTvr179/Lcc88VOf/IkSN58cUXLXIt\nJSnN61ra96ytv663e70AunTpwvLly4HSfaaVBwkoytn169eJjIwkICCA2NhYzp49y7x588jLy2PK\nlCnWLt49W7lyJX5+frzyyit4enqye/dupk2bxrVr1xg2bJgpX/v27Zk6darZYx0dHS1d3HKxatUq\ns6FR9erVM91fsmQJsbGxTJ8+HX9/f1asWEFkZCSbN2/Gy8vLGsW9J3PmzCEtLc0s7d///jdHjx6l\nZcuWprR+/fqZvc4ODg4WK+O9OnHiBImJiQQFBZGTk1NsntK8jrbwP13Stf7666/s2LGDp59+mlat\nWnHlyhUWLFjA4MGD2bRpEzVq1DDLP3/+fLP3e8Ggw9pK87pCye/ZqvC6PvTQQ3z88cdmaRcuXGDK\nlCl07dq1SP47faaVC4MoV4sWLTK0a9fOcOPGDVPakiVLDK1atTJLszVXrlwpkjZ16lRDjx49TPvP\nPvusISoqypLFqhDr1683NGnSxJCWllbs8YyMDEObNm0MCxYsMKXdvHnT0L59e8N7771nqWJWiMzM\nTENISIhh9uzZprQePXoY5s6da8VS3Zvc3FzT/aioKMOzzz5rdry0r6Mt/E+XdK3Xr183ZGdnm6Xp\ndDpDkyZNDBs2bDCl/fjjj4YmTZoYfvvtt4otcBmUdK0GQ+nes1XhdS3O0qVLDU2bNjX8+eefprSS\nPtPKi/ShKGe7d++mS5cuuLq6mtL69u1LRkbGbauWbUHNmjWLpDVr1oyUlBQrlMa6Dh06RFpaGuEF\nFqyoXr06PXr04Ntvv7Viycru22+/5fr162ZNWbbKzu7OH2+lfR1t4X+6pGvVarVUq2ZeId2oUSNc\nXFxs7n+4pGstrarwuhbnyy+/JCQkxCq1ShJQlDOdToe/v79Zmq+vLy4uLuh0OiuVqmIcPnyYRo0a\nmaXt2bOHoKAggoKCGD58OMePH7dS6cru0UcfpXnz5vTq1Yv4+HhTuk6nw97enoYNG5rlb9y4sc2/\nxlu2bMHHx4d27dqZpX/66ae0aNGCtm3bMnHixCLt07aotK9jVf2fPn78OOnp6UWuHyAiIoJmzZoR\nFhZGbGzsbdduqMxKes9Wxdf1jz/+4OjRo7f9QXC7z7TyIn0oypler8fNza1IularRa/XW6FEFeOH\nH35gx44dvP3226a0kKXkytEAACAASURBVJAQ+vfvT4MGDTh//jyLFi1i6NChfPHFF/j5+VmxtHfH\ny8uLSZMm0apVK3Jzc9myZQtz5swhIyODyMhI9Ho91atXL9Jxy93dnfT0dLKysmyy30h6ejpff/01\nzzzzDBqNxpQeFhZGcHAwPj4+nDp1ipiYGIYOHcqmTZuKfa/bitK+jlXxfzovL4+33nqLhg0bEhYW\nZkp3c3Nj1KhRtGvXDgcHB3bt2sWCBQu4evUqM2fOtGKJ705p3rNV8XX98ssvcXBw4LHHHjNLL+kz\nrbxIQCHuWlJSEtOmTaNnz54MGDDAlD5x4kTT/Xbt2tGpUyfCw8NZtWoVM2bMsEZR70nXrl3NOjR1\n796dzMxMFi5ceNse1VXBrl27uHXrFn379jVLL/hF0q5dO1q3bk3//v1Zv359uX4YCct59913OXz4\nMGvWrDHrrNi8eXOaN29u2u/UqROOjo6sXLmScePGFdv0WRndr+/ZLVu20LlzZzw8PMzSS/pMK69m\nJGnyKGdarbZIr3lQ0bBWq7VCicpXamoqI0eOxNfXl/nz598xr5eXF23atOHo0aMWKl3F6dWrF6mp\nqZw/fx6tVsutW7eKVANfv34dFxcXm6ydAPXrpkGDBmajO4rTpEkTGjVqZPOva2lfx6r2P7127VqW\nL1/OvHnzCAoKKjF/r169yMnJ4bfffrNA6SpGce/Zqva6Hj9+nFOnThX5QXA7BT/TyosEFOXM39+/\nSPtbcnIy6enpRdrrbE16ejpjxowhOzubxYsX4+LiUuJjNBqNWfW5rSp4Df7+/uTm5nLmzBmzPMW1\nydqKGzdusHv37lJ/GFWF17W0r2NV+p/etm0bb775Ji+99BJ9+vQp1WOMr7Otv96F37NV6XUF9YPA\n2dmZnj17lip/RbyeElCUs27durFnzx6zyHfLli04OzsTGhpqxZKVTU5ODpMmTeL06dMsW7aMWrVq\nlfiYS5cucfDgQR566CELlLBibdu2DU9PT+rWrUubNm1wdXUlISHBdDw9PZ1du3YVO/bbFmzfvp2s\nrKxSje74/fff0el0Nv+6lvZ1rCr/03v37uXFF1/k2WefZfjw4aV+3LZt26hWrRqBgYEVWLqKVdx7\ntqq8rkZffvklPXr0KDKnyO0U/EwrL9KHopwNGjSIuLg4oqKiGDlyJOfOnSMmJobIyEiz4Um25vXX\nXycxMZEZM2aQmprK4cOHTceaN2+OTqfjvffeo3fv3vj6+pKcnMzixYuxs7MjIiLCiiW/e1FRUbRs\n2ZLAwEDy8vLYsmULW7ZsYebMmdjZ2eHk5MSoUaOIjY3F3d3dNCFSXl6e2UQ6tuTLL7+kadOmNG7c\n2Cz9m2++YePGjTz88MN4e3uj0+lYuHAhderUMes/Uxmlp6eTmJgIwMWLF0lLSzMFD927d8fFxaVU\nr6Mt/E+XdK0XLlxg/Pjx+Pv706dPH7P/35o1a1K/fn1ATXRWs2ZNWrZsiYODA4mJiaxdu5aIiAg8\nPT0tf2HFKOla9+7dW6r3bFV4XY21xIcPH+b8+fO8+uqrxZ6npM+08qIxGAyGcjubANR0rtHR0Rw+\nfBitVsvf//53oqKiKs10rveiuKlsjXbu3ImDgwMzZ87k2LFjpKamUqNGDUJDQ5k8eXKRL6nK7r33\n3mPbtm38+eefGAwGAgICeO655+jfv78pj8FgYNGiRXz00UekpqbSokULZs6cadahzVZcvXqVrl27\nMmnSJEaNGmV27Pjx47zzzjv89ttv3LhxAw8PD7p27cqUKVMq1eyJxUlKSrpt9e/OnTvx8/Mr9etY\n2f+nS7rWffv2FTv1MsDf/vY35s6dC8Dq1atZt24dSUlJZGdn06BBA55++mkiIiIqTZNHSdealpZW\n6vesrb+uxtFzb731Fp999hnff/99sX24SvOZVh4koBBCCCFEmUkfCiGEEEKUmQQUQgghhCgzCSiE\nEEIIUWYSUAghhBCizCSgEEIIIUSZSUAhhBBCiDKTgEIIIYQQZSYBhRBCCCHKTAIKIYQQQpSZBBRC\nCCGEKDMJKIQQQghRZhJQCCGEEKLMJKAQQgghRJlJQCGEEEKIMpOAQgghhBBlJgGFEEIIIcpMAgoh\nhBBClJkEFEIIIcT/s3fn8TGe6+PHPzPZI4tICBFCiFgTJJFIIpbQRSylR4/WKU5xTtVSS9XS5fi1\nltq3oKe01VLLaastFdTWWEIIUmsQCUnEkiCr7DO/P/L11DTEIDFZrvfr1dcrzz3P/cw1KnLlXq5b\nPDNjQwdQWeXm5nLmzBlq166NkZGRocMRQgghylVRUREpKSm0bt0ac3PzEq9LQvGUzpw5w6BBgwwd\nhhBCCPFcfffdd3h7e5dol4TiKdWuXRso/oOtW7eugaMRQgghyteNGzcYNGiQ8vPvrySheEr3pznq\n1q2Ls7OzgaOpvgo1hdzKvkVGXobOf0YqI2rXqE2dGnWoU6MO1qbWqFQqQ4crhBCV3qOm+SWhEJVO\noaaQ8ynniUqOIvpGNLmFuY/tY2ZsRtNaTfFx8qFt3bZYmFg8h0iFEKL6kIRCVBpX0q4QfiWc6BvR\n3Cu490R98wrzOHvrLGdvncVYbUwbxzb4OPngWdcTY7V8GwghxLOSf0lFhabVarl05xJhl8I4n3L+\noffYWdjhYOmArZkt1mbW2JjZUFBUwK3sW6TcS+Fm1k2dUYxCTSEnr5/k5PWT2Fva06tZL/yc/VCr\nZBe1EEI8LUkoRIWk1Wo5m3KWsEthXL5zucTr9pb2eDt541XPi4a2DUtdH6HVarmTc4eo5CiOJR8j\nMT1Ree32vdt8E/0NO2N30rd5X9rVbSdrLYQQ4ilIQiEqlPuJxNYLW7mSdkXnNbVKjU99H7o17oaL\nrYveP/hVKhX2lva82PRFXmz6IjeybnD02lHCr4STlZ8FwI2sG/w36r+41HThjTZv0KhmozL+ZEII\nUbVJQiEqBK1Wy7mUc2y9uJX4u/E6rxmpjfBv4M9LTV/CwdLhmd+rrlVd+rj34YUmL7Anbg+/Xf5N\nmRK5mnaVOQfn8FLTlwhpFiLrK4QQQk/yr6UwqPyifKKSowi/El5iRMJYbUyQSxAvNHkBOwu7Mn9v\nc2NzQpqF0KVRF3Ze3sne+L0UFBWg0WoIuxTGqZunGNp2KA1sG5T5ewshRFUjCYUwiKSMJA5cPUDk\ntUhyCnJ0XjNWG9PJpRMvNX2JmuY1yz2WGqY16N+iP0EuQXwT/Q0Xb19UYpx1YBa93XvzUtOXZNGm\nEEKUQhIK8Vyk5aZx6fYlLty+wMXbF7mZdbPEPcZqYwIbBvKy28vPJZH4KwdLByZ0nMDe+L38FPOT\nMlrxS8wvxN6JZXj74ViaWD73uIQQojKQhEKUi+z8bC7cvkBMagwxqTEPTSDuq1OjDp1cOtHRuSPW\nZtbPMcqSVCoVwa7BtK7TmjXRa4i7GwfA2VtnmXVgFu/4vIOTtZNBYxRCiIpIEgpRZtJy09h/dT9n\nbp0hIT0BrVb7yHuN1ca0q9eOTg070cy+WYXbqulo5cikgElsubCF7Ze2A5CSncJnBz9jiOcQvJy8\nDByhEEJULDIpLJ5ZYnoiX538iqm7p7Lt4jaupl0tkUwYq41pZt+M3u69meg/kcUvLWZ4++G4O7hX\nuGTiPrVKzSvNX+Hf3v/GzNgMKK64+cXxL/g55udSEyYhRMUSHx/PsmXLyMjIKJPnbd68GXd3d7Kz\ns8vkeU8iKSkJd3d39u3bp7R169aNOXPmPPdYHiQjFOKpxaTGsP3SdmJSY0q8plKpaFSzEc0dmtPC\noQWudq6YGJkYIMpn175ee+pa1WXFsRWkZKcAsP3SdlLvpTK07VDZWipEJXDlyhVCQ0Pp168fNjY2\nz/y8Ll26sGnTJiwsKsa5QKGhodSs+fzXnj1I/iUUTywlO4Xvz33PHzf+KPGam70bXRt1pUXtFlVq\nAaOTtRPTOk3jyxNfcubWGQCOXTtGem46I31GVqnPKkRZKSoqoqioCFNTU0OHUuZq1apFrVq1DB2G\nomXLloYOQaY8hP5yC3P56fxPTP99uk4yoVap8XbyZmqnqbzn/x5eTl5V8gespYklozqMonOjzkrb\nxdsXmXtoLrfv3TZgZEJUDFOmTKF///7s3r2bkJAQPDw8OHXqFADJycmMHz+eDh064OnpybBhw4iL\ni1P63h/G37ZtG1OnTqV9+/YEBQXxyy+/ALBq1SoCAwPx8/Nj3rx5aDQanfc+fPgwAwYMoE2bNvj7\n+zN9+nRlOiIyMpK3334bgODgYNzd3enWrZvS93GxPcxfpzzuxx8WFsbHH3+Ml5cXQUFBLF26VCfW\nGzdu8O6779KxY0c8PDzo3r07ixcvVl5/8803GTt2rM57RUZG4u7uzsWLFx8Zz1+nPO7/vzh06BC9\ne/embdu2vP7661y6dKnUz/UsZIRCPJZWqyXyWiSbz28mPTdd5zX/Bv70atYLe0t7A0X3fKlVal5v\n/Tq1LGrx0/mfALieeZ05h+YwpsMYKYIlqr1r164xb9483nnnHWrXro2zszNpaWm88cYb1KxZk+nT\np2NhYcEXX3zBP//5T3bu3Im5ubnSf/78+fTu3Ztly5bx448/MmXKFM6fP09ycjKzZs3i7NmzLF68\nmJYtWxISEgLApUuXGDFiBP7+/ixbtozr16+zYMECEhMT+fLLL2nVqhWTJ09mzpw5hIaGUrt2bWXU\n5Eli08f8+fN54YUXWLp0KYcPH2b58uU0bdqUnj17AvD++++Tl5fHp59+irW1NYmJiY9NXp7W9evX\nmTt3LiNHjsTMzIy5c+cyfvx4tm7dWi5r1yShEKWKuxvHpjObSlSxdLVz5e+t/14tz7xQqVS81PQl\nalnUYk30Goo0RaTnpjM/Yj6jOoyimX0zQ4coqohdl3ex9eJW8grznvt7mxmb0btZb3o06fFE/dLS\n0lizZg0tWrRQ2hYvXkxOTg4///yzMs/fvn17unXrxo8//sigQYOUe/38/JgwYQIAnp6e7Ny5k717\n97J9+3aMjIwICgpiz5497Nq1S0koVqxYgZOTEytXrsTIyAgAW1tbxo8fz8mTJ2nXrh2NGzcGoEWL\nFjg7Oyvvt2bNGr1j04e3tzdTpkwBICAggAMHDrBr1y4loTh9+jQLFixQRkh8fX2f6PlPIj09nQ0b\nNtCoUSOg+JfDUaNGERcXR5MmTcr8/WTKQzzU3Zy7fHXyK+YcnKOTTNia2/JWu7d4P+D9aplMPKhD\n/Q686/suFibFi7JyC3NZcmTJQ9eWCPE0dsXtMkgyAcU7mnbF7Xrifo6OjjrJBBRPR/j7+2NlZUVh\nYSGFhYXUqFGDVq1acebMGZ17/fz8lK+trKyws7PDx8dHSRQAXFxcuHnzz9o2p06donv37jr3vPji\nixgbG3P8+PFS432S2PQREBCgc920aVNu3LihXDdv3pyFCxeyefNmkpOTn/j5T6J+/fpKMgEoScSD\nf3ZlSUYohA6tVsuBhAN8f/Z78ovylXZjtTE9mvTg5aYvK1soBbg7uPOe/3ssObKEjLwMCjWFrIxa\nyWDPwfg38Dd0eKKS6+Haw6AjFD1cn2x0AsDBoeQBfnfv3iU6OpqwsLASr3Xs2FHn+q87MExNTUu0\nmZiYkJf3559JSkpKifc1MjKiZs2apKfrTtM+S2z6eFysixcvZtGiRcyePZuMjAyaN2/OlClTnuq9\nHsfaWrdQoIlJ8U67B+MpS5JQCMW9gnt8+8e3nLx+Uqe9fb32vNry1TI56bMqcrZxZnLgZBYfWUxK\ndgparZZvor8hKz+LF5q8YOjwRCXWo0mPJ55yqIhsbW3p1q0b77zzTonXatSo8czPr127Nrdv6y6M\nLioqIi0tDVtbW4PG9leOjo589tlnaDQaTp06xbJlyxg5ciT79u3Dzs4OU1NT8vPzdfqUVe2M8iYJ\nhQDg8p3LrD6xmjs5d5Q2J2snBrYeiLuDuwEjqxwcLB14P+B9lhxZQlJGEgA/nvuRzLxM+rfoX2GL\ndwnxPHTs2JHt27fj5ub2xIsc9eHp6cnu3buZMGGCMu3x22+/UVhYiJdXcVXbR/12Xt6xPYparaZt\n27aMHj2agQMHkpycjJ2dHXXr1iUqKkrn3oMHDz63uJ6FJBTVnFarZUfsDrZc2IJG++fWpi6NuvC3\nln+rtMWoDMHGzIb3/N9j+bHlXLpdvDXrt8u/kZWfxZueb8pppaLaGjp0KFu2bGHIkCH84x//wNHR\nkdTUVI4dO4aXlxe9evV6puePHDmSfv36MWrUKF5//XVu3LjB/PnzCQwMpF27dgDKosxNmzYREhKC\nubk57u7u5R7bgzIzMxk2bBh9+/alcePG5Ofn89VXX1G7dm1lfUOPHj344YcfmDVrFl26dCEyMpID\nBw6UWQzlSRKKam7bpW1svbBVubY0sWSw52Da1WtnwKgqLwsTC971fZdVJ1YpizMjEiPIys/iX17/\nkgRNVEu1atVi06ZNLF68WFk7UKdOHdq3b4+7+7OPgLq5ubFq1SoWLlzI6NGjsbKyIiQkhEmTJin3\n1K9fn8mTJ7N27VrWrVtH3bp12bt3b7nH9iAzMzOaNWvGt99+y40bNzA3N6dt27Z8+eWXyuhIly5d\nmDBhAuvXr+f7778nODiYDz744KFTMhWNSisHEjyVpKQkgoOD2bNnj84WpMrk2LVjrD6xWrluWqsp\nw9oPo5ZFxan+VllptBrWnVrHoYRDSpubvRvv+LxTJYt+CSGqvsf93JMx2Goq7m4ca6LXKNfNHZoz\noeMESSbKiFql5k2PN3mx6YtK26Xbl1gQsYC03DQDRiaEEOXDoAlFbGwsQ4YMwdPTk8DAQJYsWUJR\nUdFj+2VmZjJ16lR8fHzw8vJi4sSJ3L17t8R9u3fvpnfv3rRp04aePXs+dFsQFC/eefXVV/Hw8MDX\n15dhw4Zx7969Z/58FdXte7dZcWwFhZpCAOpa1eXf3v/GSG30mJ7iSahUKvq36M/fWv5NaUvKSOKz\ng59xLeOaASMTQoiyZ7CEIj09naFDh6JSqVixYgWjRo3i66+/ZunSpY/tO27cOCIjI5kxYwafffYZ\nZ86cYdSoUTr3REVFMXbsWHx9fVm1ahWdO3dmwoQJJVbLfv/990ycOJGgoCBWrVrFjBkzaNSokV6J\nTWWUW5hL6NFQMvMyAahhWoPRHUbLMHw56tGkB/9s909lUebdnLvMPTSX8ynnDRyZEEKUHYMtyty4\ncSN5eXmEhoZiZWVFQEAAWVlZhIaGMmLECKysrB7a7+TJkxw8eJB169bh4+MDFO/rHTBgABEREfj7\nFxcTWrlyJd7e3nz44YdAcfW12NhYli9fTmBgIAB37txh1qxZfPTRR7z22mvKe/ToUfn3fT+MVqvl\nyxNfkpxZXJ3NSG3ESO+R1K5R28CRVX1+zn7YmtnyedTn5BbmkluYy9LIpbzp+aYUwBJCVAkGG6HY\nv38/gYGBOolDSEgIubm5HD16tNR+Dg4OSjIB4OHhgbOzM/v37wcgPz+fyMhIXn75ZZ2+ISEhREdH\nk5lZ/Nv59u3bAXjllVfK7HNVZKdunuLUzVPK9WDPwbjZuxkwouqlRe0WTAqYRE3z4vMCNFoN30R/\nwy8xvyBro4UQlZ3BEoq4uDhcXV112pycnLCwsCj15LWH9YPiGuX3+yUkJFBQUFDiPldXVzQaDfHx\n8UBx/ffGjRvzww8/EBQURKtWrRgwYAAnTpx41o9X4Wi0Gn6K+Um57tyoM37OfqX0EOXB2caZKYFT\ncLb5c4V02KUwVhxbQW5hrgEjE0KIZ2OwhCIjI6NEnXEoroNeWplRffrdr93+15rq90uw3r8vNTWV\n+Ph4Vq5cyXvvvcfKlSuxsLBg+PDhpKamPt0Hq6AOJx7meuZ1AMyNzendrLeBI6q+7CzsmBQwiVZ1\nWiltp26eYvaB2dzMKp9De4QQorxV622jWq2We/fuMXPmTPr06UNQUBArVqzAyMiIdevWGTq8MpNf\nlM+WC1uU6xebvoi1WcmkTDw/5sbmjO4wWuesjxtZN5h1YJbOtJQQQlQWBksobGxsyMrKKtGekZFR\nYmThr/3ur4F4VL/7IxF/ve+vIxc2NjaoVCqd8+itrKxo1aoVly9ffsJPVHHti9+n1D6wMbMhuHGw\ngSMSUFyr4tWWrzK8/XClgmZuYS7Ljy4vUQpdCCEqOoMlFK6uriXWSly/fp2cnJyHrpF4sN/9NRAP\nenBtRcOGDTExMSnx/Li4ONRqtVLTvUmTJmi12hIL4rRabZU5zCk7P5vtsduV697uveX48QrGp74P\nkwMmY29pr7Rtu7iNxUcWk5FXOU4ZFEIIgyUUQUFBHDx4UGeUIiwsDHNzczp06FBqv5SUFJ3T2E6f\nPk1iYiJBQUEAmJqa4uvry44dO3T6bt++nbZt2yprMLp06QJAZGSkck9mZiZnz56lefPmz/wZK4Id\nsTvIKcgBoE6NOgQ0CDBwROJhGtg2YFqnaTR3+PPv3YXUC3wa/ikXb180YGRCCKEfgyUUAwcOxNTU\nlDFjxhAREcGmTZsIDQ1l6NChOltJe/TowbRp05Trdu3aERgYyOTJk/ntt9/YvXs37733Hl5eXkoN\nCig+fe7o0aPMnDmTyMhI5s6dS3h4uE4BrDZt2igHr/z000/8/vvvjBw5EmNjYwYNGvR8/iDK0Z2c\nO+yN36tc92vRT6phVmBWpla86/cuvZr1UkbIMvIyWHh4IdsvbZetpUKICs1gCYWtrS1r1qyhqKiI\nt99+m2XLljFkyBDGjh2rc19RUREaje5c8qJFi+jQoQPTpk3j/fffp3Xr1oSGhurc4+3tzdKlSzl8\n+DDDhg1j7969LFiwQClqdd+8efMIDg7ms88+Y+zYsRgbG/PNN98o6zAqs18v/qqU125UsxHt6soJ\nohWdWqWmt3tv3vV9V1k4q9Vq+TnmZ5YdXaZUOBVCiIpGTht9ShX9tNHMvEym7J6iJBQTOk7A3aFs\nj+IV5SstN41Vx1cReydWaatpXpPh7YdLQTIhxHNXrqeNarVajhw5Qnh4+EN3bAjDOZBwQEkmGts1\nlmSiEqppXpMJHSfwUtOXlLa03DQWHF5A2KUwmQIRQlQoep/lsWjRIk6cOMHatWuVtuHDhxMREYFW\nq8XJyYk1a9bQsGHDcglU6K9IU0T4lXDlumujrgaMRjwLI7UR/Vr0w83eja9Pfk1WfhZarZZfYn7h\n4u2LDGs3TGqKCCEqBL1HKHbu3Enr1q2V6927d3Po0CEmTpzI6tWr0Wg0LFu2rFyCFE/m5I2TOnUn\nvJy8DByReFat67Tmo84f6Ux1nE85z8wDM4m7++hS9UII8bzonVDcvHmTRo0aKde7du3Czc2N4cOH\nExgYyOuvv17qoV7i+dkXv0/5OsglCGO1wQ6VFWXo/hTIy25/Hnp3N+cu8w7NY2/8XpkCEUIYlN4J\nhbGxMUVFRcp1RESEzo6JWrVqcffu3bKNTjyxxPREZRGfWqWmk0snA0ckypJapeaV5q8wxncMliaW\nQPHBb5vObGL1idVywJgQwmD0Tijc3NzYtWsXAOHh4aSmptK5c2fl9WvXrmFnZ1f2EYonsu/Kn6MT\nXk5eylHZomppXac1HwZ9iEtNF6UtKjmKOQfnkHqvah1sJ4SoHPROKEaNGkVUVBQ+Pj6MGjWK9u3b\n4+f35/HX+/fvp02bNuUSpNBPdn42R6/9Oe0kizGrNntLe94PeJ8glyClLTkzmVkHZnEh9YIBIxNC\nVEd6T64HBATw008/cejQIWxsbOjZs6fyWlpaGt7e3nTr1q1cghT6OZhwkIKiAgAa2jbE1e7RZ6KI\nqsFYbcwgj0E0qdWEtX+spVBTSHZ+NouPLObvrf9OZ5fOVeZcGiFExaZ3QpGcnIyzszNDhgwp8VrN\nmjUZP368rKEwII1WQ/jVB7aKNu4qP0iqET9nPxxrOLIyaiXpuelotBo2nN5AUkYSr7d+XUquCyHK\nnd5THsHBwcoaiofZt28fwcFyLLahnL55mtv3bgPFZ0L4OPkYOCLxvDW2a8y0TtN01lUcuHqA0KOh\nslhTCFHu9E4oHrclraCgALXaYEeDVHsRiRHK151cOmFiZGLAaISh1DSvyST/SXSo/+eJvedSzrHw\n8EI5Cl0IUa5KnfLIysoiI+PPf4TS0tJITk4ucV9GRgZhYWHUrl277CMUj3Wv4B5nbp1Rrv0b+Jdy\nt6jqTIxMeKvdW9SpUYdfL/4KwNW0q8w9NJexvmOpU6OOgSMUQlRFpSYUa9asYfny5QCoVCpmzZrF\nrFmzHnqvVqtlwoQJZR+heKyT108q53a41HSRHxgClUpFb/fe1DSvyXenv0Or1ZKSncLcQ3MZ02GM\nzrSIEEKUhVITik6dOmFtbY1Wq+Wzzz6jT58+tGrVSucelUqFhYUFrVu3pkWLFuUarHi4Y8nHlK8f\nHOoWopNLJ2zMbFh1YhUFRQVk5mWy4PAC3vF5h+YOzQ0dnhCiCik1ofD09MTT0xMonv7o0aMH7u5y\namVFkpGXQUxqDFCc3Hk7eRs4IlHReNb1ZLzfeJYfW052fjZ5hXksi1zG295v08ZRascIIcqG3qso\nR48eLclEBRSVHKUsmHWr5SaVMcVDNanVhEn+k5S/H4WaQlYcW8Hx5OMGjkwIUVU8coQiNDQUlUrF\nyJEjUavVhIaGPvZhKpWKUaNGlWmAonQPVsaU6Q5RmnrW9ZgUMIlFhxeRei8VjVbDqhOryCvKk4W8\nQohn9tiEYsSIEZiamkpCUQGl3ksl/m48UHxoVPt67Q0ckajoHCwdlKTiRtYNtFot30R/Q35RPl0a\ndTF0eEKISuyRCUVMTEyp18Lwjl37czFm6zqtqWFaw4DRiMqipnlN3vN/jyWRS0hMTwRgw+kNFGoK\n6e7a3cDRCSEqK6lEVYk9ON3hU18qYwr9WZtZM6HjBJ3zXr4/+z07Y3caMCohRGWm91keD8rOziYj\nI+Oh1TOdnJyerv37lgAAIABJREFUOSjxeNcyrpGcWVxkzMTIBE9HTwNHJCobSxNL3vV7l2WRy4i9\nEwvA5vObKdIW0dOt52N6CyGELr0Tiry8PEJDQ/nhhx9IS0t75H3nz58vk8BE6R4cnWhbty1mxmYG\njEZUVubG5oz1HUvo0VAu3r4IwC8xv1CkKaJXs15ywJwQQm96JxTTp0/n559/pnv37nh5eWFra1ue\ncYlSaLVanWJWchCYeBZmxmaM8R3DimMrOJ9S/AvBrxd/pUhbRF/3vpJUCCH0ondCsWvXLgYMGMAn\nn3xSnvEIPVxJu6KcLGppYkmrOq0e00OI0pkamTLKZxQro1Zy9tZZALZf2o5Gq6Ff836SVAghHuuJ\nFmW2bNmyvOIQT+DkjZPK1+3qtcNY/VRLYYTQYWJkwjs+7+Dh6KG07YzdyY/nf3zsacNCCKF3QtGt\nWzeOHDlSnrEIPWi1WqJvRCvXbeu2NWA0oqoxVhvzb+9/41n3z0W+uy7v4vtz30tSIYQold4Jxdix\nY0lISGD69OnExMSQnp5OVlZWif9E+bqRdYObWTeB4rnvFg5yIJsoW8ZqY/7l9S/a1WuntO2J28PG\nMxslqRBCPJLeY+XduxcXvDl37hybNm165H2yy6N8PTg60ap2K0yMTAwYjaiqjNXGjGg/gi9Pfqmc\n9/H7ld8p0hYxqM0gWVMhhChB74Ri1KhR8o9IBSDTHeJ5MVIbMbz9cNQqtVKV9cDVAxQUFTCk7RDU\nKqmLJ4T4k94JxZgxY8ozDqGHtNw0rqRdAYrP7pCjp0V5U6vUvNXuLYxURhxJKl5DdSTpCAWaAoa1\nG4aR2sjAEQohKgr5FaMSeXB0wt3BHUsTSwNGI6oLtUrN0LZD6eTSSWk7nnycz6M+p6CowICRCSEq\nEr1HKOS0UcOT6Q5hKCqVikFtBmGiNmFv/F4ATt08xfJjyxnpPVIqtQohyiahUKlUaLVaSSjK0b2C\ne1xIvaBcy9kd4nlTqVS81uo1TI1M2RG7A4DzKedZfGQxozuMltNuhajm9E4oHnZ8uUaj4dq1a6xf\nv55jx46xatWqMg1O/On0zdNotBoAGtVshJ2FnYEjEtWRSqXileavYGpkypYLWwCIuxvH/Ij5jPMb\nh625lOQXorp6pjUUarWaBg0aMHnyZFxcXJgxY8YT9Y+NjWXIkCF4enoSGBjIkiVLKCoqemy/zMxM\npk6dio+PD15eXkycOJG7d++WuG/37t307t2bNm3a0LNnT8LCwh75TI1GQ//+/XF3d2ffvn1P9Dme\nB5nuEBWFSqUipFkIA1sPVNqSM5OZe2guKdkpBoxMCGFIZbYo08fHh/DwcL3vT09PZ+jQoahUKlas\nWMGoUaP4+uuvWbp06WP7jhs3jsjISGbMmMFnn33GmTNnSky1REVFMXbsWHx9fVm1ahWdO3dmwoQJ\nHDx48KHP/P7777l586be8T9PBUUFnE05q1xLQiEqgq6Nu/JWu7eU7aOp91KZe2guSRlJBo5MCGEI\nZXYIxJkzZ1Cr9c9PNm7cqByJbmVlRUBAAFlZWYSGhjJixAisrKwe2u/kyZMcPHiQdevW4eNTfMqm\no6MjAwYMICIiAn9/fwBWrlyJt7c3H374IQB+fn7ExsayfPlyAgMDdZ6Znp7OokWLmDhxonJ/RRKT\nGkNeYR4AdWrUoa5VXQNHJEQxX2dfLEws+OL4FxQUFZCRl8H8iPm84/MOzeybGTo8IcRzpHcG8PPP\nPz/0v2+//ZaxY8fyww8/8OKLL+r9xvv37ycwMFAncQgJCSE3N5ejR4+W2s/BwUFJJgA8PDxwdnZm\n//79AOTn5xMZGcnLL7+s0zckJITo6GgyMzN12pcsWUL79u3p2LGj3vE/T389DEwKjImKxMPRg3d9\n38Xc2ByAnIIclhxZwonrJwwcmRDiedJ7hGLKlCmPfM3Ozo5//etfT7TDIy4uDj8/P502JycnLCws\niIuLo1u3bo/s5+rqWqK9SZMmxMXFAZCQkEBBQUGJ+1xdXdFoNMTHx+PhUXyiYkxMDD/++CNbtmzR\nO/bnSavVcvrmaeVapjtEReRm78akgEksObKEjLwMCjWFfHH8Cwa2HkiXRl0MHZ4Q4jnQO6HYs2dP\niTaVSoWNjc0jpydKk5GRgbW1dYl2GxsbMjIynqpfUlLx3G16errS9iBbW1vlGffNmDGDQYMG4eLi\novSvSLILssnIK47XzNiMxjUbGzgiIR7O2caZKYFTWBK5hJtZN9FqtWw4vYH03HT6uPeRkTUhqji9\nE4r69euXZxwGsW3bNuLj4/n8888NHcoj3cq+pXxdp0Yd+UdZVGj2lvZM8p9E6NFQpUx82KUw0nLT\n+IfHP6RUtxBVmMFKb9vY2Dz0uPOMjIwSIwt/7ffXNRB/7Xd/JOKv9z04clFQUMDcuXMZMWIEGo2G\njIwMJZ6cnJwKcxT7/aPKoTihEKKiszazZkLHCbSu01ppi0iMYPmx5criYiFE1WOwhMLV1VVZ83Df\n9evXycnJeegaiQf7xcfHl2h/cG1Fw4YNMTExKfH8uLg41Go1jRs3Jicnhxs3bjB79mx8fHzw8fGh\nb9++AIwfP55+/fo960csEw+OUDjWcDRgJELoz8zYjHd83sG/gb/SdvbWWRYcXqBM4QkhqhaDJRRB\nQUEcPHhQZyQgLCwMc3NzOnToUGq/lJQUoqKilLbTp0+TmJhIUFAQAKampvj6+rJjxw6dvtu3b6dt\n27ZYW1tjaWnJt99+q/PfwoULAZgwYQLz588vy4/71P465SFEZWGkNmKw52BCmoUobVfTrjLn4Byd\nv9dCiKrBYAnFwIEDMTU1ZcyYMURERLBp0yZCQ0MZOnSoziLPHj16MG3aNOW6Xbt2BAYGMnnyZH77\n7Td2797Ne++9h5eXl1KDAmDkyJEcPXqUmTNnEhkZydy5cwkPD1d2ohgbG+Pr66vzn6dn8fkYzZo1\nU742tJvZMuUhKi+VSkUf9z4M8hikrP9JvZfKnINziL9bcqRRCFF5GSyhsLW1Zc2aNRQVFfH222+z\nbNkyhgwZwtixY3XuKyoqQqPR6LQtWrSIDh06MG3aNN5//31at25d4vAyb29vli5dyuHDhxk2bBh7\n9+5lwYIFJYpaVWRarVZGKESVEOQSxEjvkZgYmQCQlZ/FwsMLOXPrjIEjE0KUFZVWq9Xqc+P8+fPp\n27cvbm5u5R1TpZCUlERwcDB79uzB2dm5XN4jPTed93e9D4CliSULX1wouzxEpRZ3N47Qo6Fk52cD\noFapedPzTZ21FkKIiulxP/f0HqFYu3Ytffr0oW/fvnz11VcV9tyLqkS2jIqqxtXOlckBk7G3tAdA\no9XwTfQ3hF0KQ8/fbYQQFZTeCcWhQ4eYOXMm9vb2zJ8/n65duzJkyBA2b95cYbZYVjUy3SGqIkcr\nRyYHTMbZ5s/fcH6J+YUNZzag0WpK6SmEqMj0TiisrKzo378/X331FeHh4bz//vtkZWUxbdo0AgIC\nePfdd9m7dy+FhYXlGW+1IgsyRVVla27LpIBJNHdorrSFXwln9YnVFGrk3xAhKqOnWpRZu3Zthg4d\nyo8//sj27dvp2rUrv/32G6NGjSIgIIBPPvmEy5cvl3Ws1Y5ODQorqUEhqhZzY3PG+I7Bp/6fB/0d\nTz7Osshl5BbmGjAyIcTTeOpdHrdu3eLrr79m4sSJ7NixAxsbG1577TV69+7Ntm3b6NOnD//73//K\nMtZqR6pkiqrOWG3MsHbD6Nb4z8MAY1JjWHh4IZl5JSviCiEqLr3P8oDiUtY7duxg69atHD9+HJVK\nRVBQEG+//TZdunTB1NQUgIkTJzJx4kSWLl3Ka6+9Vi6BV3VarZaUeynKtSQUoqpSqVS81uo1bMxs\n+DnmZ6C4ANbcQ3MZ5zdOWcAphKjY9E4oRo0axYEDB8jPz8fDw4Np06bRs2dP7OzsStxrYWHByy+/\nzN69e8s02Orkbu5dCooKALAytcLSxNLAEQlRflQqFS+7vYyVqRXfnf5OqcEyL2Ie4/zGUdeqrqFD\nFEI8ht4Jxfnz53nrrbfo27cvjRs//gjtgIAAvv3222cKrjqT9ROiOurk0gkrUytlcebdnLvMj5jP\nu77v0sC2gaHDE0KUQq81FHl5eYwePZpu3brplUwA1KpVq9QzOUTpZMuoqK7a1WvHGN8xmBmbAZCZ\nl8mCwwu4fEcWegtRkemVUJiZmTF9+nTOnz9f3vGI/yMLMkV11tyhOeP8xilTfTkFOSw6soizt84a\nODIhxKPovcujadOm3LhxozxjEQ+QY8tFdedq58pE/4nYmNkAUFBUwPJjyzlx/YSBIxNCPIzeCcW4\ncePYsGEDR48eLc94xP+RolZCgLONM5MCJlHLohYARZoivjj+BYcTDxs4MiHEX+m9KPN///sftra2\nDBkyBBcXF5ydnTE3N9e5R6VSsWzZsjIPsrrRaDWkZMuWUSGg+O//pIBJLD6ymJtZN9FqtayJXkNO\nYY5O/QohhGHpnVCcO3cOgHr16pGfn09cXFyJe+TwqrJx+95t5UwDW3NbZXGaENVVLYtavOf/HkuO\nLCEpIwmATWc2kVOQQ0+3nvJvjxAVgN4JhdSUeH5k/YQQJdmY2TDRfyLLIpcRd7f4F5otF7Zwr+Ae\nf2v5N0kqhDCwpy69LcqPbBkV4uEsTSwZ5zeOFrVbKG2743azJnoNRZoiA0YmhHii0tv3ZWVlkZWV\nhUZT8qhhJyenZw6qupMFmUI8mpmxGaN8RrH6xGqib0QDcCTpCFn5WfzL618yRSiEgTxRQrF+/XrW\nrFlDYmLiI++RWhXPTkYohCidiZEJ//b+N9+d+o6DCQcBOHPrDIuPLGZ0h9HUMK1h4AiFqH70nvLY\nsGEDn3zyCQ0bNmTcuHFotVqGDBnCv/71LxwcHGjevDkzZ84sz1irjQeLWknZbSEeTq1S8w+Pf9DT\nrafSFnc3jrmH5nIn544BIxOietI7oVi3bh2BgYGsXr1aOUG0c+fOjB8/nrCwMLKzs0lLSyu3QKuL\nQk0ht3NuA8W7Zmpb1jZwREJUXCqVir7N+zKw9UBlUeaNrBvMPjCbK2lXDBucENWM3glFQkICXbt2\nBcDExASAgoLi0zCtra3529/+xvr168shxOol9V4qWq0WADtzO0yMTAwckRAVX9fGXRnefjjG6uJZ\n3Iy8DOZHzCcqOcrAkQlRfeidUFhbW1NUVLyK2srKCgsLC51S3DVq1CA1NbXsI6xmZP2EEE/H28mb\nd/3eVdZPFBQVsOr4Kn69+KuSpAshyo/eCYWbmxsxMTHKtaenJxs2bODmzZtcv36dTZs20ahRo/KI\nsVqRY8uFeHrN7JsxJXCKzvfO1gtb+fLkl+QX5RswMiGqPr0Tij59+nDp0iXy84u/KceMGcPly5fp\n0qUL3bp1Iz4+nnHjxpVboNWFnDIqxLOpU6MOUwKn6NSqOHbtGLMPzOZ65nUDRiZE1ab3ttFXX32V\nV199Vbn28vJi27Zt7N27FyMjIwICAmjcuHG5BFmd3F+QCciCTCGekqWJJWM6jGHT2U2EXwkHIDkz\nmVkHZvFGmzfo2KCjgSMUourRK6HIy8tj+/btuLq64uHhobQ3aNCAIUOGlFtw1VFWfpbyta25rQEj\nEaJyM1Ib8Xrr12lo25CNZzZSUFRAflE+a6LXEJMawxtt3pAiWEKUIb2mPMzMzPjoo4+kaNVzkJGX\noXxtZWplwEiEqPxUKhWBDQOZGjiVulZ1lfYjSUeYeWAmF29fNGB0QlQtT7Qo88FdHaLsabVaMvMy\nlWtrU2sDRiNE1VHfpj7TOk3Tmeq4mXWTBREL+PaPb8nOzzZgdEJUDXonFOPGjWPDhg0cPXq0POOp\n1vKK8ijUFALFpYVlOFaIsmNmbMbQtkMZ2nYo5sbmSvuhhEN8vO9jjiQdke2lQjwDvRdl/u9//8PW\n1pYhQ4bg4uKCs7Mz5ubmOveoVCqWLVtW5kFWFw+OTtiY2RgwEiGqro4NOtKidgs2ndnEiesngOK1\nS1+f/JoDVw/Qr0U/mtZqauAohah89E4ozp07B0C9evXIz88nLi6u3IKqrjLzZbpDiOehpnlN/u39\nb07dPMX60+u5m3MXgNg7scw7NI82jm14pfkrONs4GzhSISoPvROKvXv3lmccAt0RClmQKUT583D0\nwN3enS0XtrA3fi8arQaA0zdPc+bWGXycfOjp1pN61vUMHKkQFZ/eayiOHTvGnTuPPsHvzp07HDt2\nrEyCqq4eHKGQKQ8hng8zYzMGtBrAp90+xdfZVzlkTKvVcvTaUab/Pp3lR5cTeydW1lgIUQq9E4rB\ngwdz6NChR75+5MgRBg8eXCZBVVcyQiGE4ThYOvBWu7f4MOhDPBw9dF47dfMU8w7NY+6huZy8flIZ\nyRBC/EnvKY/HZeb5+fkYGRk9c0DVmc4aCjNZQyGEITjbODOqwyji7saxI3YHf9z4Q3kt7m4cn0d9\nTi2LWgS5BBHYMFC+V4X4P6UmFMnJyVy7dk25jouLe+i0RkZGBhs3bsTJyemJ3jw2NpZPP/2U6Oho\nrK2tGTBgAKNHj35sYpKZmcmsWbPYvXs3Go2GLl268OGHH2JnZ6dz3+7du1myZAlXrlyhQYMGjB49\nmp49eyqvnzp1ig0bNhAVFcWtW7eoW7cuvXv3ZsSIEZiZPf8tm7LLQ4iKw9XOlXd83uF65nV2xe0i\nMilS2dZ9J+cOP8f8zK8Xf8XLyYsujbrQuGZjZbpEiOqo1IRi8+bNhIaGolKpUKlUfP7553z++ecl\n7tNqtRgbG/Ppp5/q/cbp6ekMHTqUpk2bsmLFChISEpgzZw4ajYbx48eX2nfcuHHEx8czY8YM1Go1\n8+fPZ9SoUaxfv165JyoqirFjx/LGG2/wwQcfEB4ezoQJE7CxsSEwMBCA7du3k5CQwIgRI3BxceHC\nhQssWbKECxcuGGT764MjFDLlIUTFUM+6HoM9B9PHvQ+/X/mdA1cPKCXyCzWFRCZFEpkUSX2b+gS5\nBNGhfgcsTSwNHLUQz1+pCUXPnj1p3rw5AKNHj2bIkCH4+Pjo3KNSqbC0tMTd3Z1atWrp/cYbN24k\nLy+P0NBQrKysCAgIICsri9DQUEaMGIGV1cN/oJ48eZKDBw+ybt06JRZHR0cGDBhAREQE/v7+AKxc\nuRJvb28+/PBDAPz8/IiNjWX58uVKQjFixAidmH19fTEzM+Pjjz/m2rVr1K9fX+/PUxakSqYQFVdN\n85q80vwVejXrxfHk4/x+5Xfi7v65ff5axjU2nN7AD+d+wMfJh86NOuNi6yKjFqLaKDWhcHV1xdXV\nFYDZs2fj7e1NgwYNyuSN9+/fT2BgoE7iEBISwvz58zl69CjdunV7ZD8HBwedxMbDwwNnZ2f279+P\nv78/+fn5REZG8sEHH+j0DQkJYerUqWRmZmJtbf3QBKhFi+Ijj2/duvXcE4oHDwaTKQ8hKiZjtTG+\nzr74OvtyNe0q4VfDOXbtGPlF+QAUFBUQkRhBRGIEDW0b0rlRZ3ycfKTyrajy9N7l0a9fvzJLJqB4\nPcb9ZOU+JycnLCwsSi2a9bB+AE2aNFH6JSQkUFBQUOI+V1dXNBoN8fHxj3x+dHQ0arWahg0bPsnH\neWZarVYOBhOiknGp6cJgz8HM7TGX19u8XqIQVkJ6Amv/WMv7u95n45mN3Mq+ZaBIhSh/jxyhmDp1\nKiqVik8//RQjIyOmTp362IepVCpmzZql1xtnZGRgbV1yWN/GxoaMjIyH9Hh8v6SkJKB4fcb9tgfZ\n2toqz3iYlJQUVq5cSd++fbG3t9frc5SVnMIcZSuaubE5JkYmz/X9hRBPz8LEgi6NutDZpTPxafHs\nv7qfqOQoCooKAMgtzGVf/D5+v/I7beq0obtrd5rZN5PpEFGlPDKhiIyMRKVSodFoMDIyIjIy8rEP\nq8zfHPn5+YwbNw5LS0u9kqeyJjUohKj8VCoVrnauuNq5MqDlAA4nHSb8SrgyMqHVajl18xSnbp6i\ngW0Derj2wKe+D2qV3oPFQlRYj0wo/lpqu6xLb9vY2JCVlVWiPSMjo8TIwl/7Paxi54P97o9EZGZm\n6tzzqJELrVbL5MmTiY2NZf369Ur/50mqZApRtdQwrUF31+4ENw4mJjWGPfF7OH3ztPJ6YnoiX538\nil8v/srLbi/j5+wniYWo1Az2t9fV1bXEWonr16+Tk5Pz0DUSD/Z72BqIB9dWNGzYEBMTkxLPj4uL\nQ61W07hxY532mTNnsmfPHpYvX06TJk2e9iM9E50dHlIoR4gqQ6VS0aJ2C0Z3GM0nXT+hc6POOlOa\nt7Jv8U30N3y09yMOJRyiSFNkwGiFeHpPnFBERUWxcOFCJk6cyMSJE1mwYMFTneERFBTEwYMHdUYp\nwsLCMDc3p0OHDqX2S0lJISoqSmk7ffo0iYmJBAUFAWBqaoqvry87duzQ6bt9+3batm2rswbjv//9\nL9999x3z5s3D29v7iT9HWZEaFEJUfY5WjrzR5g3mdJ9DH/c+OvUqUu+l8u0f3zL99+mcvH5Szg0R\nlY7epbezs7OZOHEi4eHhaLVaZVogPT2d1atX06lTJxYtWkSNGjX0et7AgQNZu3YtY8aMYcSIESQm\nJhIaGsrQoUN1tpL26NEDHx8fZbFnu3btCAwMZPLkyUyePBm1Ws28efPw8vJSalAAjBw5ksGDBzNz\n5ky6d+9OeHg44eHhrF69Wrln69atLFy4kP79++Po6Eh0dLTyWsOGDZ+orsazkiqZQlQfNUxrENIs\nhGDXYPbG72V33G6y87OB4hGLz6M+p0mtJgxoOYDGdo0f8zQhKga9E4rZs2cTHh7O6NGjGTRoEDVr\n1gQgLS2NdevWsXz5cmbPns2MGTP0ep6trS1r1qzhk08+4e2338bGxoYhQ4YwZswYnfuKiorQaHQP\n4lm0aBGzZ89m2rRpaDQaunbtWqLmhLe3N0uXLmXx4sVs2LABZ2dnFixYoBS1ApTDzjZv3szmzZtL\nfN7+/fvr94dTBmSEQojqx9zYnJ5uPenWuBv74vfx2+XfuFdwD4DLdy7z2cHP8Hbypn+L/thbPt+d\nZ0I8KZVWz3E1Hx8fevXqxX/+85+Hvv6f//yHsLCwanOEeVJSEsHBwezZswdnZ+fHd3iMVcdXEZVc\nPI3zVru38HX2feZnCiEql+z8bLZd2sbvV37XWUthYmRCT7eevNDkBYzVev8eKESZetzPPb3XUKhU\nKpo2bfrI15s1a4ZaLSuUn5bs8hBC1DCtwWutXmN6l+m0r9deaS8oKuCXmF/4f7//P87cOmPACIV4\nNL0zgBdeeIHffvutxPQDFE9L7Ny5kxdeeKFMg6tOpA6FEOK+OjXq8G/vfzMpYBINbP+sUHwr+xbL\nIpex8thK7ubcNWCEQpT0yLGzmJgYnev+/fszffp03njjDf7+978rpamvXr3Kpk2byM3NpV+/fuUb\nbRX24AiFbBsVQgA0rdWUaZ2mEX4lnF8u/EJOQQ4A0TeiOZ96nn7N+9G5UWepXyEqhEcmFK+88kqJ\nypf3l1tER0crrz24BGPQoEGcP3++POKs0rRarc7BYDJCIYS4T61S07VxV7ydvNl8fjMRiREA5BXm\nsfHMRo4kHeFNzzdLnCMixPP2yIRi9uzZzzOOai27IFtJzCxNLGXRlRCiBGsza4a0HUJAwwDWnVrH\n9czrAFxJu8LM/TPp0aQHvZv1lnOAhME88ieXTF88P1IlUwihr6a1mvJh0IfsjN1J2KUwCjWFaLQa\ndsbu5OT1kwz2HIybvZuhwxTVkF4Tbzk5ObRs2ZL//ve/5R1PtSQ1KIQQT8JYbUxIsxA+7vwxzeyb\nKe23sm8xP2I+G05vILcw14ARiupIr4TCwsICe3t7LC0tH3+zeGJSJVMI8TQcrRyZ0HEC//D4B+bG\n5kr771d+Z/rv0zl766wBoxPVjd5Lg1955RW2bNlCQUFBecZTLens8DCVKQ8hhP5UKhWdXDoxvct0\nPBw9lPa7OXdZGrmUb6K/UapvClGe9F7916pVK/bt20fv3r3p378/zs7OmJmZlbgvODi4TAOsDqQG\nhRDiWdlZ2PGOzztEJUex8cxGZedYRGIEZ1POMqjNIDzreho4SlGV6Z1QjBs3Tvl64cKFD71HpVLJ\nttGnIFUyhRBlQaVS4VPfh+YOzdl4ZqNSzj89N50Vx1bgU9+Hga0Hyi8uolzonVB8++235RlHtSYj\nFEKIsmRtZs0IrxF4O3mz/vR6MvIyADh27RgxqTEMbD0Qr3peJWoNCfEs9E4oOnTo8Nh78vPznymY\n6kqqZAohykO7eu1oZt+M7899z+HEw0DxLzCrjq/iWN1jvNHmDWzNbQ0cpagqnrleq1ar5fDhw0yd\nOpWAgICyiKnakV0eQojyUsO0BkPbDmWM7xjsLOyU9ugb0Uz/fToRiRHoeei0EKV66pKMp0+f5tdf\nfyUsLIzU1FTMzMzo2LFjWcZWbUgdCiFEeWtdpzXTu0znx3M/sv/qfgDuFdzjm+hvOHrtKP/w+AcO\nlg4GjlJUZk+UUFy9epWtW7eydetWEhISAOjatSt///vf8fPze+iuD1E6jVZDdn42ULygShIKIUR5\nMTc2Z5DHILydvPn2j29JvZcKwPmU80z/fTp93PvQ3bW7HDYmnspj/9akpqbyzTff8Le//Y2XXnqJ\ntWvX4uPjwyeffIJWq+WVV16hc+fOkkw8pQcPBbM0sZRvZCFEuXN3cOfjzh/T3bW7sjCzoKiAH8/9\nyOwDs0lITzBwhKIyKnWE4p///CdHjx7F3Nyc4OBgxowZQ0BAAMbGxsoIhXg2sn5CCGEIZsZmDGg1\nAJ/6Pqz9Yy1JGUkAJKQnMOvALLo26krf5n11KnAKUZpSE4rDhw/j7OzMRx99RFBQkGwxKgdSJVMI\nYUiNajZiWqdp7IrbxdYLWynUFKLVatkbv5fj14/zWqvXZIup0Eup4+vvvfceVlZWvP3223Tq1IkZ\nM2Zw/PiHSg6RAAAeCUlEQVTx5xVbtSA1KIQQhmakNuKlpi/xny7/oUXtFkp7em46q46vYmnkUm5m\n3TRghKIyKHWEYvjw4QwfPpzY2Fi2bt3Ktm3bWLduHXXr1qVDhw6oVCrJWp+RVMkUQlQUdWrU4V3f\nd4lKjuJ/Z/+nFMQ6l3KO6b9PJ9g1mBC3ECxMLAwcqaiI9FoB2LRpU8aPH8/u3btZv3493bp14+DB\ng2i1WmbNmsWnn37KgQMHpLDVU5ARCiFERXK/fPcnXT+ha+Ouyi+NGq2GXZd38dG+jziYcBCNVmPg\nSEVF88RbCtq3b8/HH3/MgQMH+OKLL/Dy8uKnn35ixIgR+Pn5lUeMVZpUyRRCVEQWJhYMbD2QaZ2m\n0bRWU6U9My+TtX+sZdaBWZxPkbObxJ+eurCVkZERQUFBBAUFkZuby+7du/n111/LMrZqQXZ5CCEq\nsoa2DXnP/z2OXz/OD+d+4G7OXQAS0xNZfGQxzR2a069FPxrVbGTYQIXBPXVC8SBzc3N69epFr169\nyuJx1YpUyRRCVHQqlQpvJ288HD347fJv7IjdQUFRAQAxqTHMPjCb9vXa08e9D/Ws6xk4WmEoZZJQ\niKf34AiFbBsVQlRkpkam9GrWi8CGgWy7uE1nLcWJ6yc4eeMkXvW8eNntZZxtnA0crXjeJKEwMNnl\nIYSobGqa12SQxyC6u3Zny4UtRCVHAcWHRUYlRxGVHIVnXU96uvWUqZBqRBIKAyrUFJJTkAOAWqXG\n0sTSwBEJIYT+HK0cGeE1gheavMCWC1s4c+uM8tofN/7gjxt/0NyhOcGuwbSp00bKDFRxklAY0IPn\neFiZWsk3mxCiUnKp6cIY3zEkpiey7dI2Tl4/qbwWkxpDTGoMjlaOBDcOxs/ZDzNjOfupKpKEwoCk\nBoUQoippYNuAt73fJjkzme2XthOVHKWssbiZdZP1p9fzc8zP+DfwJ8glCEcrRwNHLMqSJBQGJOsn\nhBBVkZO1E8PaD6Nfi37si9/HgYQDyvTuvYJ77I7bze643bg7uBPkEkTbum0xVsuPo8pO/g8a0O17\nt5WvpaiVEKKqqWVRi1dbvkpIsxAiEiPYE7eH1HupyusXUi9wIfUCVqZWdKjfgY4NOtLApoFM/1ZS\nklAYSE5BDr9e/LMQmGMNGfoTQlRN5sbmdGvcja6NunIu5Rz7r+7n1M1TynRIVn4We+P3sjd+L07W\nTnRs0JEO9TtQ07ymgSMXT0ISCgP5/tz3pOWmAcWjE10adTFsQEIIUc5UKhWt6rSiVZ1WpOWmcTDh\nIAcTDirVNwGSM5P58dyPbD6/GbdabvjU96Fd3XYyilsJPPFZHmUpNjaWIUOG4OnpSWBgIEuWLKGo\nqOix/TIzM5k6dSo+Pj54eXkxceJE7t69W+K+3bt307t3b9q0aUPPnj0JCwt76meVpTO3znAo4ZBy\n/UabN+SbRQhRrdQ0r0mvZr2YFTyLcX7j8HX2xdTIVHldq9Vy8fZFvjv1He/vep8lR5Zw4OoB5QRU\nUfEYbIQiPT2doUOH0rRpU1asWEFCQgJz5sxBo9Ewfvz4UvuOGzeO+Ph4ZsyYgVqtZv78+YwaNYr1\n69cr90RFRTF27FjeeOMNPvjgA8LDw5kwYQI2NjYEBgY+0bPKUk5BDmv/WKtcezt5075e+3J5LyGE\nqOjUKjUtaregRe0W5LbJ5cT1E0QmRXLh9gW0Wi1QfNLpuZRznEs5x3env6OJXRPa1WtH27ptcbB0\nMPAnEPcZLKHYuHEjeXl5hIaGYmVlRUBAAFlZWYSGhjJixAisrB6+jfLkyZMcPHiQdevW4ePjA4Cj\noyMDBgwgIiICf39/AFauXIm3tzcffvghAH5+fsTGxrJ8+XIlodD3WWXpr1MdA1sPLPP3EEKIysjc\n2Bz/Bv74N/AnIy+D48nHOZZ8jMt3Liv3aLVaYu/EEnsnlu/Pfo+TtRNtHNvg4eiBq50rapVBB96r\nNYMlFPv37ycwMFAncQgJCWH+/PkcPXqUbt26PbKfg4ODkgAAeHh44OzszP79+/H39yc/P5/IyEg+\n+OADnb4hISFMnTqVzMxMrK2t9XrW09JqtSRlJOkMz6XcS5GpDiGE0IONmQ1dG3ela+Ou3Mm5w8nr\nJ4m+Ec2lO5eUkQsoXnORnJnMztid1DCtQavaxWs0WtZuKdvxnzODJRRxcXH4+fnptDk5OWFhYUFc\nXNwjE4q4uDhcXV1LtDdp0oS4uDgAEhISKCgoKHGfq6srGo2G+Ph4PDw89HrW09pyYQthl0qu2bhP\npjqEEEI/tSxqEewaTLBrMJl5mZy6eYoT108QkxpDoaZQuS87P5uj145y9NpRoPjo9fvJhaudq9S6\nKGcG+9PNyMjA2rrkb+c2NjZkZDx60U1p/ZKSkoDi9Rn32x5ka2urPEPfZz2thPSER74mUx1CCPF0\nrM2sCWgYQEDDAPIK87hw+wKnbp7i1M1TpOem69ybkJ5AQnoC2y9tx9TIFDd7N1rWbkkLhxY4WTtJ\nvYsyJulaOXm15atYmVqVWJFsZmzGS01fkqkOIYR4RmbGZng4euDh6KFMM5+5dYazKWe5fOeyUucC\nIL8on7O3znL21lmgODFxt3enuUNz3B3cqW1ZWxKMZ2SwhMLGxoasrKwS7RkZGSVGFv7a786dO6X2\nuz8SkZmZqXPPX0cu9HnW03KyduKf7f75TM8QQgihH5VKRQPbBjSwbcDLbi+TU5BDTGoM51LOcT71\nPCnZKTr3Z+ZlKketA9hZ2OFu7467gzvu9u7YW9ob4mNUagZLKFxdXUusU7h+/To5OTkPXdfwYL/j\nx4+XaI+Li6N79+4ANGzYEBMTE+Li4ujQoYPOPWq1msaNG+v9LCGEEJWPhYkF7eq1o129dgCk3kvl\nfMp5zqWc48LtC2TnZ+vcfzfnLkeSjnAk6QgA9pb2NLNvRjP7ZrjVcsPB0kFGMB7DYAlFUFAQX375\nJVlZWcpOj7CwMMzNzXWSgIf1W7FiBVFRUXh7ewNw+vRpEhMTCQoKAsDU1BRfX1927NjBwIF/rlXY\nvn07bdu2VdZN6PMsIYQQlZ+DpQOdXDrRyaUTWq2Wa5nXiEmN4ULqBS7evkhuYa7O/bfv3ebwvcMc\nTjwMFBfiambfDDd7N9xquVHXqq4kGH+h0j64/+Y5Sk9PJyQkBDc3N0aMGEFiYiKfffYZgwcP1ils\n1aNHD3x8fJg1a5bSNmzYMK5cucLkyZNRq9XMmzcPe3v7EoWtBg8ezKBBg+jevTvh4eF89dVXrF69\nWqewlT7PepikpCSCg4PZs2cPzs7OZfgnI4QQ4nnSaDUkpCcUH1Z2+wKxd2LJK8wrtY+VqRVu9m40\nrdUUt1puNLBtUOVrYDzu557BEgooLr39ySefEB0djY3N/2/v7oOiuu4+gH95Wd6UBbYBhYDAwkCU\nN0V8jZiANcRgW0x1ggMqNdU6UaSoaWtlmhhjYxprOtEaTLSJNZnYsdGhVFIaLWrUFOeppSlaFFh5\nFSJhWV7KIsvuPn/sw328Lrgru7Ds+v3MOCNn7737u3Pu3v3tOeeeI8Xy5cuRm5sLFxcXYZvU1FTM\nnj0be/bsEcq6urrwxhtv4PPPP4dOp0NKSgp27NgBmUwmOv6ZM2fwm9/8BnV1dQgODkZubi7S09NF\n25h7rPsxoSAickxanRb1nfWobq/GzfabqFHWGLVg3M/d1R1yPzkiZZGIlEUi3Dcc7q7uYxTx2BjX\nCYU9Y0JBRPRo0Ol1aOxsRLWyGtXt1ahWVhuNwbifs5MzpvhMQYQsQkgy7H2iLVPfe3xslIiI6AGc\nnZwR6huKUN9QfFv+bej1erT0tKBGWSMkGPeumAoYkpA6VR3qVHU4qzgLwDCOI1IWKSQZgRMDHWoc\nBhMKIiKih+Dk5IQg7yAEeQdhYahhAL9SrUR1e7WwzkhLTwvu7wD4pvcbfNP7jfAkiZfEC3I/OSJk\nEYjwi0CYb5hdd5MwoSAiIrKQzFOGOcFzMCd4DgCgV9MLRYdCSDDqVHXQaDWifXo1vai8U4nKO5UA\nDC0hIT4hwliMCL8I+Hn6jfm5jBQTCiIiIivzknghNiAWsQGxAIAB3QAaOhtQq6xFbUctapQ16L4r\nnnxRp9ehXlWPelU9ym6VATBMuBXhFyG0Yoznp0mYUBAREY0yV2dXyP3kkPvJsRiLodfr0dbbJrRi\n1Cprh+wm6VB34H/U/z+jp5uLG8J8w4SxGOG+4ZjgNsEWp2SECQUREdEYc3JyQsCEAARMCMDcYMPK\n272aXtzquIXajlrUKmtxS3XLaD6Mfm0/brbfxM32m0JZoHeg0IoRKYu02bokTCiIiIjGAS+JF2IC\nYhATEAPA0AXS3NVsaMH4vyRDqTZef6qluwUt3S242HARgGHhswi/CKEVY4rPlDFZup0JBRER0Tg0\nOEgzxCcEKeEpAABVn0oYh1GrrEVDZ4NoVVXAsPBZRWsFKlorAAASF4nQTRIpi4TcTw4viZfV42VC\nQUREZCd8PXwxM2gmZgbNBGDoAqlT1aFWaRjoqehQoFfTK9pHo9UY5storwZg6G553PtxIcGIlEVa\n5WkSJhRERER2ys3FTVgVFYAw6dZgglGjrME3vd+I9tHr9WjqakJTVxPO1Z0DYFhdNVIWiXnB8zDV\nf+qIYmFCQURE5CDunXQrOTQZANDZ1yk8qlqjrEFjZ6NRN0l7bzvae9tR3lSOHQt3YIrPlId+byYU\nREREDszHwweJgYlIDEwEANwduCuadEvRoUC/th8ALHo6hAkFERHRI8Td1R1T/acKXRtanRaNXY1o\n6GzA5ImTR9Q6ATChICIieqS5OLsgzDcMYb5hFh2HCcUIabVaAEBra6uNIyEiIhp9g993g99/92NC\nMUJtbW0AgKysLBtHQkRENHba2toQGhpqVO6kv3/icDJLX18fKisr4e/vDxcXF1uHQ0RENKq0Wi3a\n2toQGxsLDw8Po9eZUBAREZHFxucaqERERGRXmFAQERGRxZhQEBERkcWYUBAREZHF+NjoKKipqcGu\nXbtQUVEBb29vrFixAps2bbLrp0E+++wzFBUV4dq1a+jp6UF4eDjWrl2LpUuXCtusWrUKV65cMdr3\nq6++gru7+1iGa5GTJ09i+/btRuWvvvoqVq5cCcCwuM6hQ4fwySefoKOjA3FxcSgoKMDUqSNbVMdW\nhqszADh+/DhmzJiB1NRUNDc3i1577LHHcOnSpbEIccTq6+tx5MgR/POf/0RNTQ2SkpJw7Ngx0Tbm\n1uN4/0ybOtc7d+7ggw8+wKVLl9DY2AipVIq5c+diy5YtmDRpkrBdeXk5Vq9ebXT8devWYdu2bWNy\nLqaYU6/mXrP2Xq/D1RcALFiwAEeOHAFg3j3NGphQWFlnZydycnIQGRmJgwcPoqGhAW+++SZ0Oh3y\n8/NtHd6IffjhhwgODsb27dvh5+eHCxcuYOvWrejo6MCqVauE7ebMmYMtW7aI9nVzcxvrcK3i6NGj\nokejQkJChP+/9957OHjwIH7yk59ALpfjgw8+QE5ODv785z/D39/fFuGOyCuvvIKenh5R2TvvvIPr\n168jLi5OKFu6dKmoniUSyZjFOFLV1dU4f/48EhISMDAwMOQ25tSjPXymTZ3rtWvXcObMGaxYsQLx\n8fFob2/H/v37sXLlShQXF2PChAmi7ffu3Su63u9NOmzNnHoFTF+zjlCvMTEx+MMf/iAqu337NvLz\n85GcnGy0/YPuaVahJ6sqLCzUJyUl6bu7u4Wy9957Tx8fHy8qszft7e1GZVu2bNGnpKQIf2dnZ+tz\nc3PHMqxR8emnn+qjoqL0PT09Q77e19enT0xM1O/fv18o++9//6ufM2eOft++fWMV5qi4e/euftas\nWfpf/OIXQllKSop+z549NoxqZLRarfD/3NxcfXZ2tuh1c+vRHj7Tps61s7NTr9FoRGUKhUIfFRWl\nP3nypFD297//XR8VFaW/cePG6AZsAVPnqtebd806Qr0O5f3339c/8cQT+tbWVqHM1D3NWjiGwsou\nXLiABQsWYOLEiUJZeno6+vr6hm1atgcymcyobOrUqbhz544NorGtq1evoqenB0uWLBHKvLy8kJKS\ngi+++MKGkVnuiy++QGdnp6gry145Oz/49mZuPdrDZ9rUuUqlUri6ihukw8PD4enpaXefYVPnai5H\nqNehnD59GrNmzbJJqxITCitTKBSQy+WisqCgIHh6ekKhUNgoqtFRUVGB8PBwUdnFixeRkJCAhIQE\nvPjii6iqqrJRdJZbvHgxpk2bhrS0NBw/flwoVygUcHFxQVhYmGj7iIgIu6/jkpISTJ48GUlJSaLy\nP/7xj4iNjcXMmTOxefNmo/5pe2RuPTrqZ7qqqgpqtdro/AFgzZo1mDp1KlJTU3Hw4MFh124Yz0xd\ns45Yr7du3cL169eH/UEw3D3NWjiGwsq6urrg7e1tVC6VStHV1WWDiEbHl19+iTNnzuCXv/ylUDZr\n1ixkZGQgNDQUzc3NKCwsRFZWFoqKihAcHGzDaB+Ov78/8vLyEB8fD61Wi5KSErzyyivo6+tDTk4O\nurq64OXlZTRwy8fHB2q1Gv39/XY5bkStVuNvf/sbXnjhBTg5OQnlqampmD59OiZPnoza2locOHAA\nWVlZKC4uHvJatxfm1qMjfqZ1Oh12796NsLAwpKamCuXe3t5Yv349kpKSIJFIUFZWhv3790OpVKKg\noMCGET8cc65ZR6zX06dPQyKR4JlnnhGVm7qnWQsTCnpoTU1N2Lp1KxYtWoTnn39eKN+8ebPw/6Sk\nJMyfPx9LlizB0aNHsWPHDluEOiLJycmiAU1PPfUU7t69i3fffXfYEdWOoKysDL29vUhPTxeV3/tF\nkpSUhBkzZiAjIwOffvqpVW9GNHZ+/etfo6KiAh999JFosOK0adMwbdo04e/58+fDzc0NH374IV56\n6aUhuz7Ho0f1mi0pKcGTTz4JX19fUbmpe5q1upHY5WFlUqnUaNQ8YMiGpVKpDSKyLpVKhXXr1iEo\nKAh79+594Lb+/v5ITEzE9evXxyi60ZOWlgaVSoXm5mZIpVL09vYaNQN3dnbC09PTLlsnAMOvm9DQ\nUNHTHUOJiopCeHi43derufXoaJ/pjz/+GEeOHMGbb76JhIQEk9unpaVhYGAAN27cGIPoRsdQ16yj\n1WtVVRVqa2uNfhAM5957mrUwobAyuVxu1P/W0tICtVpt1F9nb9RqNTZs2ACNRoNDhw7B09PT5D5O\nTk6i5nN7de85yOVyaLVa1NfXi7YZqk/WXnR3d+PChQtm34wcoV7NrUdH+kyXlpbi9ddfx8svv4zn\nnnvOrH0G69ne6/v+a9aR6hUw/CDw8PDAokWLzNp+NOqTCYWVLVy4EBcvXhRlviUlJfDw8MDs2bNt\nGJllBgYGkJeXh7q6Ohw+fBjf+ta3TO7T1taGf/zjH4iJiRmDCEdXaWkp/Pz88PjjjyMxMRETJ07E\nX/7yF+F1tVqNsrKyIZ/9tgeff/45+vv7zXq64+bNm1AoFHZfr+bWo6N8psvLy7Ft2zZkZ2fjxRdf\nNHu/0tJSuLq6Ijo6ehSjG11DXbOOUq+DTp8+jZSUFKM5RYZz7z3NWjiGwsoyMzNx7Ngx5ObmYt26\ndWhsbMSBAweQk5MjejzJ3uzcuRPnz5/Hjh07oFKpUFFRIbw2bdo0KBQK7Nu3D88++yyCgoLQ0tKC\nQ4cOwdnZGWvWrLFh5A8vNzcXcXFxiI6Ohk6nQ0lJCUpKSlBQUABnZ2e4u7tj/fr1OHjwIHx8fIQJ\nkXQ6nWgiHXty+vRpPPHEE4iIiBCVnzt3Dn/605/w9NNPIyAgAAqFAu+++y4CAwNF42fGI7VajfPn\nzwMAvv76a/T09AjJw1NPPQVPT0+z6tEePtOmzvX27dvYuHEj5HI5nnvuOdHnVyaTYcqUKQAME53J\nZDLExcVBIpHg/Pnz+Pjjj7FmzRr4+fmN/YkNwdS5lpeXm3XNOkK9DrYSV1RUoLm5GT//+c+HPI6p\ne5q1OOn1er3VjkYADNO5vvbaa6ioqIBUKsXy5cuRm5s7bqZzHYmhprIddPbsWUgkEhQUFOA///kP\nVCoVJkyYgNmzZ+PHP/6x0ZfUeLdv3z6UlpaitbUVer0ekZGRWL16NTIyMoRt9Ho9CgsL8cknn0Cl\nUiE2NhYFBQWiAW32QqlUIjk5GXl5eVi/fr3otaqqKrzxxhu4ceMGuru74evri+TkZOTn54+r2ROH\n0tTUNGzz79mzZxEcHGx2PY73z7Spc71y5cqQUy8DwLJly7Bnzx4AwO9//3ucOHECTU1N0Gg0CA0N\nxYoVK7BmzZpx0+Vh6lx7enrMvmbtvV4Hn57bvXs3Tp06hcuXLw85hsuce5o1MKEgIiIii3EMBRER\nEVmMCQURERFZjAkFERERWYwJBREREVmMCQURERFZjAkFERERWYwJBRGZ7eTJk4iOjkZTU5OtQxEp\nLi7GvHnz0NfXZ7Vjpqam4mc/+9mI9s3MzMRbb71ltViI7AFnyiR6xJk7pfLZs2dHOZKRGRgYwIED\nB7Bq1Sp4eHjYOhwAwA9/+EO8/PLLWLt2rVnT1BM5Ak5sRfSIKyoqEv199OhR3L5922hmxcWLF8Pd\n3R0DAwNwc3MbNzMn/vWvf0VeXh4uXLgAf39/qx23v78fTk5OouW9zaXT6bBw4UJkZmZi06ZNVouJ\naDxjCwXRI+573/ue6O/S0lKoVCqj8kHjZVriQSdPnkRSUpJVkwkAFi1D7+zsjLS0NBQVFWHjxo3j\nJvkiGk0cQ0FEZhtqDEVqaipeeuklXLp0CcuWLUN8fDyWLVuGr776CgBw6tQppKWlIS4uDtnZ2Whs\nbDQ67tWrV/GDH/wAiYmJmD59OnJyclBZWWkynrt37+LixYuYP3++0WvR0dHYvXs3iouL8eyzzyIh\nIQFZWVmoq6sDABw+fBhPP/004uPjsWHDBqhUKtH+94+hGDz3iooK7N69G3PnzsX06dOxceNGKJVK\no/efP38+GhoacPPmTZPnQeQImFAQkcUUCgV++tOfYtGiRcjPz0drayt+9KMf4cSJEygsLMQLL7yA\ndevW4V//+hcKCgpE+16+fBmrV69Gf38/Nm/ejLy8PLS2tiI7Oxs1NTUPfN/KykpoNJphF2UrLy/H\n22+/je9///vYsGEDrl27hk2bNqGwsBCfffYZ1q5di8zMTJw7dw6/+tWvzDrXnTt3oqamBrm5uVi5\nciXKysrw2muvGW0XGxsLwJAsET0K2OVBRBa7desWTpw4gfj4eADApEmTkJ+fj7feegulpaXC0tcD\nAwM4dOgQWlpaEBgYCJ1Oh1dffRULFixAYWGhcLzly5djyZIl+O1vf4u333572PdVKBQAIKy6eL+6\nujqUlpYiMDAQAODq6oq9e/fi1KlTKC4uFro12tvbUVxcjJ07d5ocMyGTyXD48GGhG0On0+HYsWPo\n7u6Gt7e3sN2kSZMgkUhQW1v7wOMROQq2UBCRxaKjo4VkAgASEhIAGLoNBpMJAMI2g10mVVVVqK+v\nR3p6OpRKpfBPo9Fg5syZuHLlygPfd7CbwsfHZ8jXn3zySSGZuDeupUuXisZIxMfHo7+/H21tbSbP\nNTMzUzQmIikpCVqtFs3NzUbb+vj4oKOjw+QxiRwBWyiIyGJBQUGivwd/qU+ePHnI8s7OTgAQxjNs\n27ZtyOM6O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k5xVduRLmzQtpMUVE5ARS1ouDVbPW7vHuW2u3AXd5NimBhQtzFwsD2LQpdz8l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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1224,7 +1224,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 84, "metadata": { "collapsed": true }, @@ -1257,7 +1257,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 85, "metadata": {}, "outputs": [ { @@ -1266,7 +1266,7 @@ "(-5.9399999999999995, 0.0)" ] }, - "execution_count": 23, + "execution_count": 85, "metadata": {}, "output_type": "execute_result" } @@ -1284,7 +1284,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 86, "metadata": { "collapsed": true }, @@ -1305,7 +1305,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 87, "metadata": { "collapsed": true }, @@ -1323,15 +1323,15 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 88, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 149 ms, sys: 2.15 ms, total: 151 ms\n", - "Wall time: 145 ms\n" + "CPU times: user 95.8 ms, sys: 1.08 ms, total: 96.8 ms\n", + "Wall time: 92.9 ms\n" ] } ], @@ -1348,7 +1348,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 89, "metadata": {}, "outputs": [ { @@ -1535,7 +1535,7 @@ "182 91.759884 -0.000789" ] }, - "execution_count": 27, + "execution_count": 89, "metadata": {}, "output_type": "execute_result" } @@ -1553,14 +1553,14 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 90, "metadata": {}, "outputs": [ { "data": { - "image/png": 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UDksAL7zwArNnz2bChAn89Kc/5Z133qG8vJyPP/64o36Fd5g8mah7R7Fw8JfK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\nN2TrlYbZar3Go86GtdaK1dx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eH5uT0rX9+q+2xbE0IiIDSwEgymVf6n5cwapVQZpqj8SxNCIiA0cBIIq5dALFE10zkL/d\ny19+vjHOJRIRGRgKAFE8HrjipjFd22+80oL/aFscSyQiMjCS8lYQ0Soq3HMCamvd3UKvuHwaIwv2\ncqjeQ2NzCqsWbeTib82JdzFFRPpV0l8BhJ8QtmcPBAJu/dvFXiaeO74rz6vPHybQoYlhIjK8JH0A\nCD8hLNrenClkZ7lK/8AhL2v+sHkQSyUiMvCSPgDUnmC+176DPi5ZkNG1vezJfQQDwUEqlYjIwEv6\nABD5hDCAfftgzRq3rG77Hxzy5wCwezdU/nlXD0cQERmakj4ARD4hbN8+qKyEpib3wJgDRzM4lF7I\nvhYXBF75lWYGi8jwkfQBIPIJYdXVkJMDM2bAmNBI0OLZ+expLgBg86ZOtqysi2NpRUT6j4aB0v2E\nsJoaNxIoUkZBFjkFaV3bL/9HFf904XhERIa6pL8CiBTdHxB27qU5eDyuA3jTuna2v3tgEEslIjIw\nFAAiRPYHhO3bB/WBfGz7FNYcOIN9zTm8/FjV4BdORKSf9doEZIy5AbgFOAfIByzwI2vtH6LyfRn4\nZ2AisAH4Z2vt61F5JgCPAZcBbcAzoXzNp/+rnL7wg+KXLnXNQcFg192hKZ6Vx5rljVQeLoS36rh2\n3WEmnZ0fv8KKiJymWK4A7gIagW8B1wJvAk8bY74ZzmCM+RzwOPA7oAwXAF4yxsyOyJMKLAMmAZ8F\n7gRuAH7VL79JPykthXvvhV/8AoqKujuDs8bmMnpEJwDVRwt4+We6VbSIDG2xdAJfY62NbPR+wxhT\nhAsMj4bS7gP+01r7bwDGmOXAHOA7wM2hPNcDM4Cp1tqqUL524BljzP3W2i2n+8v0t2MmiXk8nDEr\nh/1vt9LUkcaHq5vZuaGRSbNy4lY+EZHT0esVQFTlH/Y+UARgjDkTmAY8G/GeAPAc7mogrAyoCFf+\nIf8F+IEFfS75IIjuFM4uGsGY/HayfX7oDPCnH22NT8FERPrBqXYCnweEb44zPbSujMqzCRhpjBkT\nke+YPNZaP7At4hgJ5bhOYY+HSbNymJhzCIBN7zZi1zQOfsFERPpBnwOAMWY+8Cngx6GkgtC6ISpr\nfdT+gh7yhPMV9JAed5GTxLxet77shgLIzGJl3VTW7CvmZ9+rJahbBInIENSniWDGmBLgaeBFa+3i\ngShQoglPEoPwraM95E0di6e2laaOdN74azpP/7qJm/4xO74FFRHpo5ivAIwxI4FyYCdwU8Su8Df9\n6DGRBVH763vIE85X30N6wgnfOjp9fAGFo7qfErbop43HzSAWEUl0MQUAY0wW8BKQBlwdNW4/3K4f\n3Y4/HThkrd0fke+YPMaYNOBMju8/SEhdo4I8Hs6YnU+Kx9X6e2sDvPv60fgVTETkFPQaAIwxPtyI\nnrOABdbafZH7rbXbcR3CN0S8xxvajnzcSjlQaoyZFJF2LZAOLD3VX2AwRY4KSh1bQPHoVrcRCPLP\n32zhK1+BH/zANRWJiCS6WPoAfg5chZu4NcoYMypi3/vW2jbcPIDfG2N2AG8DX8AFjP8Zkfd54HvA\nC8aYe3HNQY8ATyfiHICelJW5x0cC4PFQ/LGRbH3NT2fAy/69HeRXtQHpXXnCfQciIokoliagK0Lr\nnwLvRC2FAKHbQtwOfBH3bf5sXFPR+vBBrLXtuPH+u3FzBh4D/h/wj/3wewyK6FFBkz4+gulFjWT4\nOgDYtbGRTjdZmKVD4ppGRJJZr1cA1tqSWA5krf018Ote8lTjhpAOWZGjgsDDVzaNofrPh2kL+PA3\n+dm9uYWSGZnU1MSzlCIivdPdQE/ThBl5lBR3dG1Xb26itSVIUVEcCyUiEgMFgNNUVgZjzx5Hbqrr\nEA60tbN9QzMLEvLmFiIi3RQATlNpKXz5jiwuOKcVD0FyfG2MbtlNTramB4tIYlMA6AelpfDIHwq5\ne+4bzB29i7HBffzxx9VdHcIiIolIAaC/jBjBZ24rID3F9QfUvreH5a/641woEZETUwDoR/l/fxl/\nNzN0t2u/n/9+bBdHNUFYRBKUAkB/Sk9n/p2zGZvpav2WqjpefPJInAslItIzBYB+5jv/XP5hXp3b\nCAR46w+72bUrvmUSEemJAkB/83j42J3zmT3SzQQLHjjI7x/Zrw5hEUk4CgADoaSEf7ghiM/r7ha6\nc8VOlr2iCCAiiUUBYICM+2IZ1561yW00N/PS49Xs2RPfMomIRFIAGCAVW0awOv9KPjhYzJoDZ1C7\nqZ7F/9GkpiARSRgKAAPAPToSatInM62oiZaONCrrx/HeS7UsW6oZwiKSGBQABkD40ZF4PGTNLKEk\n9yAA1bU+Xlq8n+rq+JVNRCRMAWAAdD06EiA3lwlnZZKX2kpTRxqdm7ez+Nd+NQWJSNwpAAyAyEdH\nAnhKSpg25hC5qW3g97N7xQ49MEZE4k4BYACUlUUl+HxkTZ/EzWetdtt1dbz85CE1BYlIXCkADIDo\nR0cWF8PC74zm659v5My8AwB0Vm5h8a/b1RQkInETy0Ph5RQc++jIkOmf5Yvv/4h/W3kx7W1trHm5\nls9vPYO8PNdsVFamB8mLyODRFcBgys1l3Jev5bqSD9nXkkPltlTeX93K0aOwZ48bOlpREe9Cikiy\nUAAYbOecw/yrM2nqSAcg2HAYu6mTYGh6gDqHRWSwKADEgfemz1GY34yXAAQCNNYcoWq7iwA1NXEu\nnIgkDQWAeMjLY8q8iUwOTRCjtZXqrS3s3w9FRfEtmogkDwWAOCm7dTxFUzMZld7oEo4cxm5oZ86c\n+JZLRJKHAkCclJbCl/+9hEvNHrJ9beSktDEtZTvvvB2gqSnepRORZBDTMFBjzFTgbuA8YBaw0lp7\ncVSeHcCkqLfutdaOj8o3E3g0dKwGYBFwv7U26UbEl56fSunvp/DVe/6DB9ZcQVunjwMVPhYtmsI3\nv+nmEIiIDJRYq5hZwFWABTafJN/TuIo9vFwVudMYUwC8BgSB64AfAN8G7u9TqYeTiRMpvOUybjWr\n3PaePWxcvp8XX4xvsURk+It1ItgSa+2LAMaY54HRJ8hXa61dfZLj3A5kAp+x1h4BXjXG5AH3GWMe\nCqUln/nzmbNlC1c1rueVXbNh82aW/imbSZOymDs33oUTkeEqpisAa22gn35eGbAsqqJ/BhcU5vXT\nzxh6PB74whe45hO17lnCnZ2wcROLn+jQsFARGTD93cp8mzHGb4w5bIx53hgT3ScwHaiMTLDW7gKa\nQ/uSV1YW3tv/kdtm/5UxmY3Q1ETb+i384udBmpvjXTgRGY76MwC8CHwNmE93h/FKY0x+RJ4CXMdv\ntPrQvuQ2cSJZn7+er838C+kpHbBvP/vWVvPEE3TNFBYR6S/9djM4a+2dEZsrjTGrgA+AW4Gf9NfP\nGfYuuICiqiq+0PwOv9p0IeyoYv3yLJZMGsW118a7cCIynAzYQENr7XrcqKHIbsx6IL+H7AWhfQLw\n2c9yzvnpXDlxoxsvVVnJy882sWJFvAsmIsPJQI80D4aWsEqi2vqNMROBLKL6BpKazwe3386nztnN\njII61ym8YQNPLfbz+uvxLpyIDBcDFgCMMbNxlf2aiORy4EpjTG5E2o1AC7B8oMoyJOXk4P3m1zmn\nsIZtR0azckcxa5Yd5LGfdbJsWbwLJyLDQawzgbPontQ1Acgzxlwf2n4FuAS4GXgJqMFV/PcAu4DF\nEYd6HLgDeMEY80PgTOA+4OGknQNwEhV7ivi95xZKcjdxtD2DI82ZVP71MI97C+jo8PB3fxfvEorI\nUBZrJ/BY4LmotPD2ZGB3KM9PgBHAQWAp8C+RFbu1tt4YMx94DFiCGxH0CC4ISJTycmDUKFKmTeFj\nm7exob6Qhjao/vAg//3iKDo6PFx7rZtGICLSVzEFAGvtDqC3amZ+jMfaCFwaS95kV1sbelFYSEpb\nK7OoZmN9EQ31mbBrF6+8MomODvjMZxQERKTv9EzgBFZY6B4VCcCkElLa/Mzy1FDblA87GyAlhT//\nuZj2drjxRgUBEekb3W8ygZWVRWx4PHDWWXhHjuB7c19hzujdsH071Nby5pvw1FOaLCYifaMrgARW\nWurWS5e6R0UWFXtZcOt0Slct41y7kt/YC3hvK+D1snLlODo74ZZbdBtpEYmNAkCCKy3tDgROKsz9\nBimPPMJtnrfxbQ6wejPg9bBq1Vg6OuDWWxUERKR3qiaGoowMuOMOvMVFfGHaO1wwbhtUVsLevbz7\nLvz619DREe9CikiiUwAYqrKz4Z/+Ce+EQm45azUXF26GzRbq6li7Fn75SwUBETk5BYChLC8P7roL\nz8RiPjulgssmbILNm6GmhnXr4Oc/h/b2eBdSRBKVAsBQl5vrgsCkM7h+8loWTNwAW7fCzp1sWB/k\nscegrS3ehRSRRKQAMBxkZ8O3voVncgmfKvmAayatg507YdtWKjcFefRRaG2NdyFFJNEoAAwXWVnu\nSmDmDK6e9BGfKvkAamqhchNbbCc//Sl6spiIHEPDQIeT9HT4xjdg8WLKqCDV28lz28+BNj+r62bx\n6quplJTAGWe4SWbHDi8VkWSjADDc+Hxw222Qm8tlb7yBzxvgpx9dQuW2eigo4NChVBobu28xoSAg\nkrzUBDQceTzwD/8AN9zAxRO2MDKjGU9nBxw8SEtDK+vWwbZt8NJL8S6oiMSTAsBw5fHAZZfB175G\nWipMH7EXH51QX0/w6FH27AmyZImbPyYiyUkBYLg7+2wKr/wYY0b4OWfMTkamN0FjI9QfIoVOHnnE\n3UhOo4REko8CQBIouzEf5swhfWQOswpqMPl1+PwtFDdVwtEjrFgB990HGzbEu6QiMpjUCZwEXEdv\nGkvLZ1OzagfnHPyIOz/2BpUN4/ngg0MwaRL1wYn87Gcezj8fbrjBjSoVkeFNASBJuLuKeoEz4cOj\n8Js3uLhlM2sOTOIPW1tprK+H6YZVqzLYsAFuugk+/vF4l1pEBpKagJLRxz8O3/8+nqlT+MSYndx3\nzhI+kbYO1qyB2loONwT5+c/hiSegqSnehRWRgaIAkKxGjYL/9b/gmmvITffz5Rlvcfu0N8nb+RF8\n9BG0tvLuu/Cv/wpr18a7sCIyENQElMy8Xrj6apgxAxYvZg67mZa/l2e3f4LVa47CpEkcnVDEL3/p\nZe5c+Nzn3A1IRWR40BWAwJQp8P3vwxVXkJ3Wzq1mFV+f/joj9myANWvhcANr17qRQu++q2cPiwwX\nugIQJzUV/v7vYe5c+N3vOJs9TM1fwvPbz+HtD5th7BiaSibzxBMZVFTApz8NRUXxLrSInA4FADnW\n5Mlwzz3wxhtkLVnC56etpnTMDn635W859N5BKCpiXftE1q1LZfp0uOQSOPtsPYNYZChSAJDjpaTA\n5Ze7saPPPceM997jX+e+xI/WXc5/fVBM89qDZI3MYF9dDpWVPkaNgnnz4JOfdI8mEJGhQQFATmzE\nCPjyl+GSS/joJ2+zu3EkZ+Xvo7qpgIMHAlS+1QYmCDNH88ILPpYsgXPPdVcFEyfGu/Ai0puYAoAx\nZipwN3AeMAtYaa29OCqPB/gu8FVgNFAB3GGt/SAq30zg0dCxGoBFwP3W2s7T+k1k4EydSvmYKTDz\nAHlVO5iZWktbp4+a5nz2bstg7NHtUFREe1ERb7+dxttvw9SpLhDMmeMuKEQk8cR6BTALuApYDaSe\nIM93gHtxgaISuAt4zRgz21pbB2CMKQBeAzYC1wFTgB/jRiPdc4q/gwyC2joPjB7j5g/s3Uf6rl1M\nTjkIwBfOfIc3aqazu7oaxo2DoiK2bs1m61Z3ETFvHlx4oXt8sYgkjlgDwBJr7YsAxpjncd/wuxhj\nMnAB4AFr7WOhtHeAHcA36K7cbwcygc9Ya48Arxpj8oD7jDEPhdIkARUWhh4i4/HC+PEwbizs3Udx\nw3rOH7+d88ZtZ/vR0bxZY1izdhKBvBFQVERDYBQvvujl5ZfhE59wVwUlJfH+bUQEYpwHYK0N9JLl\nfCAPeDbiPU3AEqAsIl8ZsCyqon8GFxTmxVIWiY+ysqiEUCBY8NCl8JWv4JlcwpS8Ayyc/jYPnPsn\nrh7xFnnb3od3/wrbt9FxuInVq+GBB+DBB+Gvf4WOjjj8IiLSpb86gacDncCWqPRNwI1R+d6IzGCt\n3WWMaQ7tW9JP5ZF+Fn505NKlUFPj5gAsWBC+wdxc19i/dSu8+SYj3n+fayato2zietYcOIM3awxV\n1XtcG9DYMVS1jaGqKp1nngHGYfD+AAAN2klEQVRjYOZMt4wefdIiiEg/668AUAA09tCRWw9kGWPS\nrLX+UL6GHt5fH9onCczdUfQEOz0eOOsstzQ0wFtv4Vu5kr/x7uBvxu5gx9FRvFljeK9qEh3bt0Ne\nPs1jxvB+/Sjefz8dcAFg5kx3Z4rp03VLapGBpmGg0v9GjHD3GLrqKti0CVatouSDD7g1dxXXT17D\nyrqzWFk3lUNbD7urhtxcGD2KA00jWbE/mxUrPHg8MGmSCwYzZ8KZZ7rn3YtI/+mvf6l6IMcYkxJ1\nFVAANIe+/Yfz5ffw/oLQPhlOvF6YNcstzc2wdi25FRVclb6BsonrqWvJY2N9EZvqx7N51zjaqnyQ\nng4FBQQLCtjhz2fHjjTKyyEtDaZN6w4IhYXuokNETl1/BYBKIAWYCtiI9OmhfZH5pke+0RgzEciK\nyheTigooL4faWlchlJWdpIlC4isry00V/uQnqXizkfLf7ad2+1EK/TspK/6I22euYPuR0WxqKGRj\nfSE7944kGPRATjbkj8Cfn8/6xjzWr08DID/fBYMZM9yoojFjNN9ApK/6KwCsAo4ANwD/DmCMyQKu\nAX4Vka8cuNsYk2utPRpKuxFoAZb35QdWVMCiRd3be/Z0bysIJK6KClj0TA6k5cBs2NMxg0WHzmXh\n2FWU5qxg2ogPua7kQ5o7UqlsGM+m+kI2HizkwJ4cd4DMTMjL43BuLqurc1m9Khu8XlJSYOxYN0J1\n/Hj3hSD8Oj09vr+zSH8KBqGzE9r9QdpbO/E3+mlvbidvXCbZBWl9OlasM4GzcBPBACYAecaY60Pb\nr1hrm40xDwL3GmPq6Z4I5sXN+g17HLgDeMEY80PgTOA+4OG+zgEoL+85felSBYBEdtzfzZcKY8ex\nNOPTlP7bdbBjB6xfT1ZlJXOrqpg7ejcAB1qzu5qLKg+Op3lv6IPu9UJWFp05OdTuzqY2Oxuyst3d\nTUNGjjw2KITXOTlqRpLTFwy6Ic3t7eD3Q3tbgPYmP/6mdtqb2/E3d9De0nHsui2Av6WT9la3+FsD\nLq014Cp2fxC/P4i/zVX0/nZ3/PZ28Ld7CHYGIBCAIOxryWF300haAs1cdHk6X/r2yJjrwFivAMYC\nz0Wlhbcn4yZ8PYir8L8LjALeAy631u4Nv8FaW2+MmQ88hhvy2QA8ggsCfVJb23N6TU1fjySD6aR/\nN6/X9faeeSZcey20tblOYmsZvW0bF+2o4qLCLQSCHnY1jmRjfSGbD4+jtjmfhrrGYw+YluqanTKz\nOJSVyaEtmWzMynSXA17XVpSd3R0Qxo1zD7vJze1ecnKOiSMyxIQrZr8/YmkL4m/uwN/UHlr78Te5\nStnf3OEq5Ra39re6StrfFnSv24LdS8QxOzqCBDtCFXKgEwKD98CMfS05VB4u7Nrest7fp5aQmAKA\ntXYHcNLvStbaIPC/Q8vJ8m0ELo3l555M18zUKLpHfWLr098tPb27Exncf/POnXirqijZsYOSqiqu\nOrAegNYOH3Ut+dQ151HXkkdtcz61zfnsP5xLIOg5/rjp6TRlZLAtPZ1toW3S0rqX0KVBRsbxQSEv\nz60j08P7NFLpxAKB0Dfk9u6Kub39BEtrJ+3N7bS3dHSvQ4u/pbN7aQ2EKucA/tZw5Rz6Bt2Gq5A7\nA67NJNDp1sPggUZeT5C0lA72teaT4esMXwhTNGMkEHtLyJD9uJaVHdsHELZgweCXRWJ3Wn83n889\nvWzKlO60piaoriajupqS3bsp2bMHaje6WgToCHjZ35pDXSgguACRT11THm1HTvDx9+C++vtSaU1L\npTU1jf0+n0tL9blypITWvhT3OiUFUlJIy/CSmuYhNdXFEZ/PrVNTj12i06LzRjZN9fYEtuj9fc3f\n2/7OzlClHGpzbm/tpL2tk/bWQOh1xDpy8Qdp93c3aQQ6Aq4yDkRWyD29DuVJYOFml+aONLJ8fkpy\nDzIhu4E0byep3s7Q94ggqakeUtM87u+a7iEt3UNqmte9zkghNd1LWrqHtMwUUjNSSM30udcR69Ss\nVNKyU0nL8rn0nDS8Ge6D8tWve3s8VbG2hAzZAHDimanxLZecXH/+3dwosGxqaw2FhcaNAvsirgY7\neBBqavDt20fh3r0U7tvHnP21cGgDBIMEg1DfluWCQks+B1pzONqezlF/Bo0d6RzxZ9LYkk6guW+d\nBH7An+J1zUxe7/GLxwNej7uVhscTWgjV+KHXkeuYBUPfbIMR33CD7lwEQ+ckXLMHA8emdS0B13wR\n/TpcIQ/BZ4H6vAHSvB2kpXSG1h2kpQRcBR2qkMNLarqXtIyIJSuFtIyU7oo3y1XKG6tzeebVUZzt\n8+JN9eL1peBJKeTmLwUoPT/VfRkYpM6l020JGbIBAHqZmSoJqz/+bicfBeZx04p7urdEZyfU1+M5\ncICRhw4x8tAhZtXXQ309HK6Dw4ehsbErSDR3pNHYns6R9kwa29M52p7RFSjc64yutMb2dDd0tTP0\nTVeO4fEESfN24vMG3Ldkb8dxr9O8HaSG8oQrZV96CmkZ7puzL8PnKufMFLdk+Y5dctK61qlZqXgz\nI5r3wuvTbKf7zx9Axrjj05cuh9KLTuvQfXa6LSFDOgBI8jrlUWApKScODmGBADQ24jlyhOyjR8k+\nepRxTU2uuampyU1qa2mB5sNu3dpKxc6xvLJ5CnuO5jMm4yiXTqhkdkEN7YGUYxZ/wHdcmks/drs3\nvX2/9EQ1dPf2hTQ6P8C2I6NZd7CYhvYsRqc3UjpmBzNH73NNXKFmrtQ0V0kfs2SkdC9Zqa4ZIyMF\nb0YanoyovpbIijmyL8bnO6bQx8z5yXcV35w4fflLpAEop3tFrQAgQ9KA/hN6va6nNy8vpuxdVyNz\nwBMMciAQ4NnAZeR9rpnSs9u6ezY7OtwVSHgdiGrzDgSo2JhN+TsjqD2YRuHINsr+5hCl0492/7Bg\nsLtijKzVu5qTQkv4Ic3RzU8pKce+Dm+HX/tcf0bFh2mseDqTUR4vo0JNVps9n+CiL3sG/ao70eb8\nJNoAlNO5olYAkCEpkf4Jj7kaiahYl65Oo/Ty2I9TUQGLKnD/leNgD7BobQnMHfyKrvwdoIc5RfGY\nZ5Noc36G0wCUmJ4HIJJojns+QUg8/gn762rkZBXdYEukZo5EKgu4oLNwIRQXu4un4mK3PRT7I3UF\nIENSf40m6o/7SfXX1UgiVXSJdIWVSGUJGy4DUBQAZMg63X/C/mpb7q8mgUSq6BKpmSORyjLcKABI\n0uqvtuX+uhpJpIoukebZJFJZhhsFAEla/dnk0h9NAolW0SVSM0cilWU4UQCQpJVITS5hquhkMGkU\nkCStRBpJJBIPQ+kKIAWgrq4u3uWQYaKwEK67DpYvh7173S2h581z6dXV8S6dSP+IqDOPm2LuCQ6R\nGzwZYz4JrIx3OUREhqgLrbVvRSYMpSuACuBCoBbo7CWviIg4KUAhrg49xpC5AhARkf6lTmARkSSl\nACAikqQUAEREkpQCgIhIkhp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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1582,7 +1582,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 91, "metadata": { "scrolled": false }, @@ -1747,7 +1747,7 @@ "182 -0.091388 0.890527" ] }, - "execution_count": 29, + "execution_count": 91, "metadata": {}, "output_type": "execute_result" } @@ -1767,7 +1767,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 92, "metadata": {}, "outputs": [ { @@ -1895,7 +1895,7 @@ }, { "cell_type": "code", - "execution_count": 211, + "execution_count": 93, "metadata": { "collapsed": true }, @@ -1916,7 +1916,7 @@ }, { "cell_type": "code", - "execution_count": 212, + "execution_count": 94, "metadata": { "collapsed": true }, @@ -1935,7 +1935,7 @@ }, { "cell_type": "code", - "execution_count": 213, + "execution_count": 95, "metadata": { "collapsed": true }, @@ -1968,7 +1968,7 @@ }, { "cell_type": "code", - "execution_count": 240, + "execution_count": 96, "metadata": { "collapsed": true }, @@ -2003,7 +2003,7 @@ }, { "cell_type": "code", - "execution_count": 241, + "execution_count": 97, "metadata": { "collapsed": true }, @@ -2040,16 +2040,16 @@ }, { "cell_type": "code", - "execution_count": 242, + "execution_count": 98, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "(290, 0.026730938543416599, 0.01335158143968368, 1.3226829295046203e-05)" + "(290, 0.03, 0.02, 1e-05)" ] }, - "execution_count": 242, + "execution_count": 98, "metadata": {}, "output_type": "execute_result" } @@ -2068,14 +2068,14 @@ }, { "cell_type": "code", - "execution_count": 243, + "execution_count": 99, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "(290, 0.026730938543416599, 0.01335158143968368, 1.3226829295046203e-05)\n" + "(290, 0.03, 0.02, 1e-05)\n" ] }, { @@ -2083,33 +2083,33 @@ "text/plain": [ "time\n", "0 198.000000\n", - "2 -70.344051\n", - "4 -17.566735\n", - "6 7.507060\n", - "8 7.290530\n", - "10 20.278027\n", - "12 14.602055\n", - "14 10.324373\n", - "16 9.499804\n", - "19 -0.287215\n", - "22 7.096361\n", - "27 -2.490364\n", - "32 2.697770\n", - "42 -4.066834\n", - "52 -2.090790\n", - "62 -0.203703\n", - "72 0.734789\n", - "82 3.568637\n", - "92 -3.589955\n", - "102 -3.380256\n", - "122 -3.831264\n", - "142 -1.397434\n", - "162 -1.362193\n", - "182 -3.254534\n", + "2 -71.558054\n", + "4 -19.753661\n", + "6 4.791154\n", + "8 4.385049\n", + "10 17.385689\n", + "12 11.875391\n", + "14 7.883104\n", + "16 7.432604\n", + "19 -1.688894\n", + "22 6.430723\n", + "27 -1.858707\n", + "32 4.627308\n", + "42 0.272257\n", + "52 4.125928\n", + "62 7.310554\n", + "72 9.102455\n", + "82 12.434359\n", + "92 5.498085\n", + "102 5.712650\n", + "122 4.844866\n", + "142 6.356758\n", + "162 5.136930\n", + "182 1.795663\n", "dtype: float64" ] }, - "execution_count": 243, + "execution_count": 99, "metadata": {}, "output_type": "execute_result" } @@ -2127,7 +2127,7 @@ }, { "cell_type": "code", - "execution_count": 244, + "execution_count": 100, "metadata": { "collapsed": true }, @@ -2145,114 +2145,78 @@ }, { "cell_type": "code", - "execution_count": 245, + "execution_count": 101, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[ 2.90000000e+02 2.67309385e-02 1.33515814e-02 1.32268293e-05]\n", - "[ 2.90000000e+02 2.67309385e-02 1.33515814e-02 1.32268293e-05]\n", - "[ 2.90000000e+02 2.67309385e-02 1.33515814e-02 1.32268293e-05]\n", - "[ 2.90000004e+02 2.67309385e-02 1.33515814e-02 1.32268293e-05]\n", - "[ 2.90000000e+02 2.67309389e-02 1.33515814e-02 1.32268293e-05]\n", - "[ 2.90000000e+02 2.67309385e-02 1.33515816e-02 1.32268293e-05]\n", - "[ 2.90000000e+02 2.67309385e-02 1.33515814e-02 1.32268295e-05]\n", - "[ 2.89972550e+02 2.67118101e-02 1.33648983e-02 1.32320074e-05]\n", - "[ 2.89972555e+02 2.67118101e-02 1.33648983e-02 1.32320074e-05]\n", - "[ 2.89972550e+02 2.67118105e-02 1.33648983e-02 1.32320074e-05]\n", - "[ 2.89972550e+02 2.67118101e-02 1.33648985e-02 1.32320074e-05]\n", - "[ 2.89972550e+02 2.67118101e-02 1.33648983e-02 1.32320076e-05]\n", - "[ 2.89813010e+02 2.67194223e-02 1.33626529e-02 1.32296584e-05]\n", - "[ 2.89813014e+02 2.67194223e-02 1.33626529e-02 1.32296584e-05]\n", - "[ 2.89813010e+02 2.67194227e-02 1.33626529e-02 1.32296584e-05]\n", - "[ 2.89813010e+02 2.67194223e-02 1.33626531e-02 1.32296584e-05]\n", - "[ 2.89813010e+02 2.67194223e-02 1.33626529e-02 1.32296585e-05]\n", - "[ 2.89741252e+02 2.67133979e-02 1.33813706e-02 1.32297660e-05]\n", - "[ 2.89741256e+02 2.67133979e-02 1.33813706e-02 1.32297660e-05]\n", - "[ 2.89741252e+02 2.67133983e-02 1.33813706e-02 1.32297660e-05]\n", - "[ 2.89741252e+02 2.67133979e-02 1.33813708e-02 1.32297660e-05]\n", - "[ 2.89741252e+02 2.67133979e-02 1.33813706e-02 1.32297662e-05]\n", - "[ 2.89440613e+02 2.67300210e-02 1.33883800e-02 1.32304486e-05]\n", - "[ 2.89440617e+02 2.67300210e-02 1.33883800e-02 1.32304486e-05]\n", - "[ 2.89440613e+02 2.67300214e-02 1.33883800e-02 1.32304486e-05]\n", - "[ 2.89440613e+02 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1.33515814e-02 1.32268295e-05]\n", + "[ 2.67876674e+02 2.67386568e-02 1.33541272e-02 1.32100667e-05]\n", + "[ 2.67868601e+02 2.67361280e-02 1.33523041e-02 1.32213157e-05]\n", + "[ 2.67847465e+02 2.67336336e-02 1.33514712e-02 1.32262515e-05]\n", + "[ 2.67831538e+02 2.67319763e-02 1.33514987e-02 1.32267845e-05]\n", + "[ 2.67825532e+02 2.67313547e-02 1.33515447e-02 1.32268268e-05]\n", + "[ 2.67823196e+02 2.67311130e-02 1.33515656e-02 1.32268303e-05]\n", + "[ 2.67822200e+02 2.67310101e-02 1.33515748e-02 1.32268301e-05]\n", + "[ 2.67821784e+02 2.67309671e-02 1.33515788e-02 1.32268297e-05]\n", + "[ 2.67821617e+02 2.67309498e-02 1.33515804e-02 1.32268294e-05]\n", + "[ 2.67821550e+02 2.67309428e-02 1.33515810e-02 1.32268294e-05]\n", + "[ 2.67821526e+02 2.67309403e-02 1.33515813e-02 1.32268293e-05]\n", + "[ 2.67821516e+02 2.67309394e-02 1.33515814e-02 1.32268293e-05]\n", "modsim.py: scipy.optimize.leastsq ran successfully\n", " and returned the following message:\n", "The relative error between two consecutive iterates is at most 0.000000\n" @@ -2274,7 +2238,7 @@ }, { "cell_type": "code", - "execution_count": 246, + "execution_count": 102, "metadata": { "collapsed": true }, @@ -2293,7 +2257,7 @@ }, { "cell_type": "code", - "execution_count": 247, + "execution_count": 103, "metadata": {}, "outputs": [ { @@ -2307,7 +2271,7 @@ "data": { "image/png": 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"metadata": {}, - "output_type": "execute_result" + "ename": "NameError", + "evalue": "name 'slope' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\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 1\u001b[0m \u001b[0;31m# Solution goes here\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0minit\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mState\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m360\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mslope\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0minit\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msystem\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'slope' is not defined" + ] } ], "source": [ @@ -2581,52 +2591,9 @@ }, { "cell_type": "code", - "execution_count": 254, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " I\n", - "time \n", - "0 360.000000\n", - "2 219.652719\n", - "4 137.739127\n", - "6 89.505898\n", - "8 61.636133\n", - "10 45.765330\n", - "12 37.053121\n", - "14 32.989732\n", - "16 31.406589\n", - "19 31.811071\n", - "22 32.581632\n", - "27 34.014287\n", - "32 33.758216\n", - "42 30.932902\n", - "52 24.554216\n", - "62 15.767804\n", - "72 7.782053\n", - "82 -0.382598\n", - "92 0.598298\n", - "102 1.943431\n", - "122 3.415756\n", - "142 4.413573\n", - "162 11.170251\n", - "182 25.702699\n" - ] - }, - { - "data": { - "image/png": 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, - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "run_odeint(system, slope)\n", "print(system.results)\n", @@ -2648,7 +2615,7 @@ }, { "cell_type": "code", - "execution_count": 257, + "execution_count": null, "metadata": { "collapsed": true }, @@ -2664,37 +2631,9 @@ }, { "cell_type": "code", - "execution_count": 258, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "time\n", - "16 -3.593411\n", - "19 1.811071\n", - "22 2.581632\n", - "27 7.014287\n", - "32 3.758216\n", - "42 8.932902\n", - "52 9.554216\n", - "62 0.767804\n", - "72 -3.217947\n", - "82 -10.382598\n", - "92 -7.401702\n", - "102 -9.056569\n", - "122 -3.584244\n", - "142 -3.586427\n", - "162 3.170251\n", - "182 18.702699\n", - "dtype: float64" - ] - }, - "execution_count": 258, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# Solution goes here\n", "params = [I0, k, gamma, G_T]\n", @@ -2711,9 +2650,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": true - }, + "metadata": {}, "outputs": [], "source": [ "# Solution goes here\n", @@ -2740,11 +2677,17 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 113, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.84496124031\n" + ] + } + ], "source": [ "phi1 = (data.insulin.max() - data.insulin[0])/(system.k*(data.glucose.max() - data.glucose[0]))\n", "print(phi1)" @@ -2752,16 +2695,20 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "40.0\n" + ] + } + ], "source": [ - "phi2 = gamma * 10e4\n", - "print(phi2# Solution goes here\n", - "second_phase = gamma * 10000\n", - "second_phase)" + "phi2 = gamma * 1e4\n", + "print(phi2)" ] }, { From af519b309f8a874c747fd9d7ef145fb682627f58 Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Wed, 25 Oct 2017 20:40:00 +0000 Subject: [PATCH 47/51] update --- code/chap08-fig01.pdf | Bin 14131 -> 14131 bytes code/chap08-fig02.pdf | Bin 15893 -> 15893 bytes code/chap08-fig03.pdf | Bin 15414 -> 15414 bytes code/chap08mine.ipynb | 309 +++++++++++++++++++++++++----------------- 4 files changed, 182 insertions(+), 127 deletions(-) diff --git a/code/chap08-fig01.pdf b/code/chap08-fig01.pdf index 760c457df66210d4d1713b6667cb3281683c7886..18fcc3bae1a472f0183b889c9d16be8af7d2cd0a 100644 GIT binary patch delta 17 Ycmdm-w>fXaHX{~eGb4-5yNoJX07W+j&Hw-a delta 17 Ycmdm-w>fXaHX{}zLj%jryNoJX07U)<#{d8T diff --git a/code/chap08-fig02.pdf b/code/chap08-fig02.pdf index abc8ce31e1fc3f322aaab1644c540816ed04263b..13bcfd1488f38671771d86645a43db909c8c5d36 100644 GIT binary patch delta 17 YcmbPQGqq-ehb4=#nX%DkAIp<006icED*ylh delta 17 YcmbPQGqq-ehb4=Vp@HRQAIp<006hc-DF6Tf diff --git a/code/chap08-fig03.pdf b/code/chap08-fig03.pdf index c16755e38a5447606359a7f93b37785c909060b3..a70fd8e94832ab6b0252368867e35d34872b7563 100644 GIT binary patch delta 17 Zcmdm1v8`gmL~|BnGZVwjQ_UB$002bo2Fm~d delta 17 Zcmdm1v8`gmL~|A+LqmhjQ_UB$002ax2EhOT diff --git a/code/chap08mine.ipynb b/code/chap08mine.ipynb index 72d448ad..94bb7937 100644 --- a/code/chap08mine.ipynb +++ b/code/chap08mine.ipynb @@ -15,7 +15,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 1, "metadata": { "collapsed": true }, @@ -50,7 +50,7 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 2, "metadata": {}, "outputs": [ { @@ -237,7 +237,7 @@ "182 90 7" ] }, - "execution_count": 65, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } @@ -256,14 +256,14 @@ }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 3, "metadata": {}, "outputs": [ { "data": { - "image/png": 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YsAVwBWFywnkNiE9ERBJKlFjM7AjgD0C3qGhPYFq0Kv8F4Fx3vyvBLR9x94ej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\ne5GjVRB18V1N2PDz/Oj9XwS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PCwvDvHnzAFQt4Wlrawtzc3ON8g4ODsJaz5aWlpDL5bC3t9c6r1Qq1VoGlIiIDK/WxJKV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\n4ccff0Rubi78/f2RmpqqUUa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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -285,14 +285,14 @@ }, { "cell_type": "code", - "execution_count": 67, + "execution_count": 4, "metadata": {}, "outputs": [ { "data": { - "image/png": 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aa69x5mkiIgPQWaHJzc3Fzp07cfr0aSxevLhex3B1dcWVK1dqbSMQCDBjxgzMmDGj1nYe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\npvgQ35j+aje282tMeRr6c2K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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -314,7 +314,7 @@ }, { "cell_type": "code", - "execution_count": 68, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -326,9 +326,9 @@ }, { "data": { - "image/png": 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kX/RaEpG0SFNLwpPASsK0RwDMrIqwXkJ8dnsdcISZ9YyVfRNYC8zZmgfOLLDT\n0AAbNmxaYKe+fmuOJp2ZXksikiZl05IQfeEfGd0dCPQys+Oi+w+5+xozmwpMNrMmQqvAJEKiMy12\nqOnA6cB9ZnYpsBtwIXBF1rTInLW2wI5+AUp76LUkIsWSj1bLskkSgH7A3VllmftDgYXAVEJScD7Q\nF3gW+LK7L8vs4O5NZjYGuJqwhsIK4EpCorBVtMCO5IteSyJSDPlaYr5skgR3Xwh0aaNOM/Dr6NZa\nvZeB0fmKrbo6/Adn0wI70l56LYlIMeSr1TJNYxJKRgvsSL7otSSSHvX1MGUKTJgQ/qZp7FC+Wi3L\npiWhnGmBHcmXQr+WNHNCJD/SfkXYfLVaKknIkRbYkXwp1Gsp7R9qSnC2LM3/N2mNPe2DjGtrW34e\nZLS31VJJgkiFSPOHWjESnLR+WaU5+Utz7GkfZJyvVkslCSIVIs0faoVOcNL8ZZXm5C/NsVfCION8\ntFpq4KJIhUjzZa4LneC09mVV7tKc/KU5dg0yDtSSIFIh8tUH2ZpCNdkX+ldbmr+s0vyLNs2xa8B6\noCRBpEIUY+ZEoZrsC53gpPnLqhjJX6GkOXbQgHVQkiBSUQr5oVbI/uVCJzhp/rJK8y/aNMcugZIE\nEclJoZvsC5ngpP3LKs2/aNMcuyhJEJEcpbnJHvRlJbI1NLtBRHKi0d4inY9aElrqCrB06dJSxyFS\ndqqrYdw4mDMHli2DT30KRo4M5YsXlzo6Edkase+7rknbuzQ3NxcvmjJnZocCc0sdh4iISJEd5u5P\nZBeqJaGleuAwoBFYX+JYRERECq0rUE34/tuMWhJEREQkkQYuioiISCIlCSIiIpJISYKIiIgkUpIg\nIiIiiTS7IUdmthcwDRgBrABmABe5e2pnQZjZ8cB3gAOA3oADl7n77bE6jwMjE3bv4e4fFCPOfDCz\n7wM3Jmya4O7TozpdgPOBCcBOhNG+p7v7i8WKMx9aOWcAB7v7U2a2ENgla9syd+9fwNA6zMyGAecS\n3od7A3PdfVRWnZzOY7m/p9t6rmZWDUwCDgd2B5qAR4Hz3X1JrN4o4LGEh7jU3c8rVPztkeN5XUgO\nr9kKOK+jSD5fAH9z9yOiet+njc+0fFCSkAMz6wPMBl4GxhHekJcTWmIuKGFoHTUJeAM4C3gHOBK4\nzcx2cvdpsXqPAT/L2vfD4oSYd6OBtbH7r8f+fR4wmfAGnkf4/5ltZvu4e5pW2DoV6JVVNgX4HC2n\nOd1G+DDNWFfguPJhb8Lr9Glguy3UafM8puQ93dZzPQD4GuFL8BngU8CFwJPRc12dVf8kWr7eExbZ\nLplcziu08ZqtkPP6PCGBiBv1wwvwAAAgAElEQVQC3AkkXWattc+0DlOSkJtTgB7A1919JfCwmfUC\nLjSz30RlaXS0u78Tu/+omQ0gfKjG34jvuvvTxQ2tYOoTPjwxs+0JXy6XuPvVUdlTwEJgIuXzAdMm\nd385ft/MugGfB+50949jmxpTeF4fdPcHAMzsHkJLwUbtOI9peE+3+lyBJ4A94ufUzJ4ntAgeC9yc\nVf8ld/9XAePtiLaea0Zbr9nUn9coxhbP0cwOAzYAdyUcL/EzLV80JiE3tcCsrBfYHYQX45aadcte\nVoKQ8QKQkkv25NXBhF/fG9+E7v4+8CDh/KfZWKAPcHtbFcudu29oo0qu57Hs39NtPVd3X5GV9OHu\n84E1pOw9nMN5zVXqz+sWfAuYE+9GKhYlCbnZg9BsuZG7LyK8GfcoSUSFMwKYn1V2uJmtiW6zzGy/\nUgSWJ6+Z2cdm5mb241j5HoRVNl/Nqv8K6T/HJwCL2XzJ8ZPNbJ2ZvWdm95hZdn9vGuV6HivyPR29\nN6vY/D0MoaVwvZktNLMLzCxxrf4y19ZrtuLOq5l9htBVuKUkf0ufaXmhJCE3fQgDYLI1RdsqgpmN\nAY4h9OFlzAHOAI4AfkToG5trZrsWPcCOaST0U38HOJrQnDfdzM6KtvcBVicMbmoCqqIm+9Qxsyrg\nq8Bd7h5fXvUBwtiFMWwaRDXXzHoXP8q8yvU8Vtx72sy2Aa4iJEj/N7bpPWAq8H3C+/h+4CLgiiKH\n2FG5vGYr7rwSkvyPgHuzytv6TMsLjUkQAKIv/duAB9z9pky5u/8yVm2umc0mZOpnRrdUcPdZwKxY\nUV3Uf32BmV1VorCK4WjgE2T9CnH3M2J355rZk8CLwA+A3xYvPMmjSwhfnCPd/aNMobu/QOhGzJht\nZh8Ck8zs4i10O5adTvyaPYEwq+HdeGFbn2n56sJRS0JumghTBLP1ibalmpntSBg1+yZhBPQWRaPD\n/w4ML0JohXYPsCOwK+E87pDQBNsHWOPuaRj5n+QEYIG7P9tapWhAm5P+85rreayo97SZnUr4df09\nd38mh13uIfxITG3X4RZes5V2Xj8L7Enu44nin2l5oSQhN/PI6s8ys8GEvr95iXukRNQc/RegG/AV\nd1+Tw27N0S3tmmN/5xGuhjYsq85mfZxpETXD1pL7B0wlnNdcz2PFvKfN7FjCbKSfuvudOe7WnPU3\nrbJfsxVzXiMnEKY3PpBj/byfVyUJuakDjjCznrGybxJO3pzShNRxZrYtcDfwaWCsu7+dwz79gUOB\n5wocXjEcR1gf4k3gSWAlcHxmY5RAHU3y3OQ0+BrQnRySBDPbh/Dhmvbzmut5rIj3dLTwzq3ANHe/\nrB27Hgd8DLxUiLiKYQuv2Yo4rzEnEKZM5jrFMf6Zlhcak5Cb6cDpwH1mdimwG2HRkivKZN7t1vo9\nYVGPM4C+ZtY3tu0FwAj9nHcTXnRDCCvZbSBlfYBmdi/wD8KHYlfCB8c3CSvxbQA+MLOpwGQza2LT\nIjzb0HLNiDQ5Afinu78SLzSzo4BvE1qQlhA+aC8AFgE3FTnGdom+8I+M7g4EepnZcdH9h9x9TY7n\nsezf0209V8Lqg/cTnuOdZnZQbPf/uPtr0XGuBf5DWEhrXXTMicBv3X15wZ9IDnJ4rl8kt9ds6s9r\npjU3Op+7Eha7SzpOW59peaEkIQfu3hSN/L+aMN96BXAl4cWXZodHf5MG7g0FlgNdCIlCX2AV8Dhw\nTDStKE0c+G9gMOE5vQx8193/FKszlfBlcj7h+T4LfNndlxU51g4zs50Io8AnJ2x+C+hHSPQ+STjP\nM4GflcsHaSv6EZLWuMz9oYRFk9o8jyl5T7f1XA8k9L9/ltCCEnczYTYDhOmf4wlfNt2ABcDZJL/v\nS6Wt55rTa7ZCzuvC6N8nEGambKklM5fPtA7r0tyc9i4pERERKQSNSRAREZFEShJEREQkkZIEERER\nSaQkQURERBIpSRAREZFEShJEREQkkZIEERERSaQkQURERBIpSRAREZFEShJEREQkkZIEERERSaQk\nQURERBIpSRAREZFEShJEREQkkZIEERERSaQkQURERBIpSRAREZFEShJEREQk0balDqCcmFl3oAZo\nBNaXOBwREZFC6wpUA/Xu/mH2RiUJLdUAc0sdhIiISJEdBjyRXagkoaVGgFtvvZX+/ftv1QFeWvYS\njy98nLfff5t+n+jHqF1Hsd+n9strkCIiIvmwdOlSTjrpJIi+/7IpSWhpPUD//v0ZNGhQu3eub6jn\ngSUPQDfo3q077/EeDyx5gJ3770zNwJq8BysiIpIniV3sGriYR3UL6hLLZy6YWeRIREREOk5JQh41\nrkpsrWHJqiVFjkRERKTjlCTkUXXP6sTyAT0HFDkSERGRjiubMQlmNgw4FxgB7A3MdfdRse3VwCTg\ncGB3oAl4FDjf3ZfE6o0CHkt4iEvd/bxCxQ9QO6yWGc/P2Kx87LCxhXxYERGRgiibJIGQGBwJPA1s\nl7D9AOBrwAzgGeBTwIXAk2a2j7uvzqp/EvB67H5DvgPOlhmcOHPBTJasWsKAngMYO2ysBi2KiEgq\nlVOS8KC7PwBgZvcAO2VtfwLYw90/zhSY2fOAA8cCN2fVf8nd/1XAeBPVDKxRUiAiIhWhbJIEd9/Q\nxvYVCWXzzWwNoE5/ERGRPCubJGFrmNl+QBUwP2Hzo2bWF3iL0EVxibtrqWUREZEcpTZJMLNtgKuA\nV4H/G9v0HjCVsLzyOuArwEXAzsAZRQ5TREQktVKbJACXEGZCjHT3jzKF7v4C8EKs3mwz+xCYZGYX\nu/s7RY5TREQklVK5ToKZnUqYLvk9d38mh13uISREuoiCiIhIjlKXJJjZscA04KfufmeOuzVn/RUR\nEdnMeeedx9e//vWiP+59992HmfH+++8DsHjxYsyMxx5LWvaneFLV3RAtlHQrMM3dL2vHrscBHwMv\nFSIuERGpDKeeeioffPBBqcOgX79+3Hnnney2224ljaNskgQzqyIspgQwEOhlZsdF9x8CdgHuB+YB\nd5rZQbHd/+Pur0XHuRb4D1BPGLh4JDAR+K27Ly/4ExERkdQaMmRIqUMAoFu3buy///6lDqOsuhv6\nAXdHt4OAvWL3+wEHAr2BzwJPAk/FbpNjx3kFOAa4jTDr4UvA2cA5xXgSIiLSMfUN9UyZM4UJf5nA\nlDlTqG+oL9pjx7sbMl0A7s4PfvAD9t9/f8aOHcvf/va3Fvs8++yznHjiiQwfPpzhw4czbtw46uo2\nXRXYzLjlllta7DNt2jQOPPDALcaR1N0wevRoLr30Um666Sb+67/+i5qaGs466yxWrlyZj6eeqGxa\nEtx9IdCllSo3Rbe2jvM74Hd5CUpERIqqvqG+xTVwGlY2bLxfqtVszznnHL7xjW9w8sknc8sttzBp\n0iRmz55N//79Wb16NaeccgpjxozhtNNOo7m5mfnz57Nq1aqCxFJXV4eZcfHFF7N06VKmTp3KFVdc\nwYUXXliQxyubJEFERKRuQV1i+cwFM0uWJHzve9/juONC7/fee+/NIYccwmOPPca3vvUt3njjDVat\nWsXkyZPZYYcdADj00EMLFsu2227LNddcw7bbhq/vBQsW8NBDDxUsSSin7gYREenkGlc1JpYvWbUk\nsbwY4l/6ffr0Yccdd2Tp0qVAGMNQVVXFOeecw+zZswva9A9w4IEHbkwQAIYNG8by5cv56KOPWtlr\n6ylJEBGRslHdszqxfEDP0l2ip2fPni3ud+vWjXXr1gHQu3dvbrzxRj766CPOPPNMRowYwY9+9CPe\neuutgsTSq1evFve32247mpubN8aTb0oSRESkbNQOq00sHztsbJEjyd3+++/PDTfcwLPPPsu0adNY\nuHAhZ5999sbt3bp12+yX/nvvvVfsMLeKxiSIiEjZyIw7mLlgJktWLWFAzwGMHTa2ZOMR2mP77bdn\n9OjRvPrqq1x33XUby/v3789rr7228f6GDRt4+umnSxFiuylJEBGRslIzsCYVSQHA448/zr333suY\nMWMYMGAAy5Yt48477+SggzYt5fOlL32J2267jT333JPBgwdzzz33sHr16hJGnTslCSIiIltpyJAh\ndOnShSuvvJLly5ez4447MmrUKCZNmrSxzsSJE3n33Xe56qqr2G677TjppJMYNmwYt956awkjz02X\n5mZdziDDzHYF3njkkUcYNGhQqcMREREpqMWLFzNmzBiAodF6RS1o4KKIiIgkUpIgIiIiiZQkiIiI\nSCIlCSIiIpJISYKIiIgkUpIgIiIiiZQkiIiISCIlCSIiIpJISYKIiIgkUpIgIiIiiZQkiIiISCIl\nCSIiIpJISYKIiIgkUpIgIiIiiZQkiIiISCIlCSIiIpJISYKIiIgkUpIgIiIiibYtdQAZZjYMOBcY\nAewNzHX3UVl1ugDnAxOAnYB64HR3fzGr3l7AtOhYK4AZwEXuvr7AT0NERKRilFNLwt7AkYAD87dQ\n5zxgMnApcDSwGphtZv0zFcysDzAbaAbGAVOAs4GLCha5iIhIBSqnJOFBdx/s7scD/87eaGbbE5KE\nS9z9anefDRxPSAYmxqqeAvQAvu7uD7v7dEKCMMnMehX8WYiIiFSIskkS3H1DG1UOBnoBd8X2eR94\nEKiN1asFZrn7yljZHYTEYWR+ohUREal8ZZMk5GAPYD3walb5K9G2eL158QruvghYk1VPREREWpGm\nJKEPsDph8GETUGVm3WL1ViTs3xRtExERkRykKUkQERGRIkpTktAE7GBmXbPK+wBr3H1drF7vhP37\nRNtEREQkB2lKEuYBXYFhWeXZYxDmkTX2wMwGA1VZ9URERKQVaUoSngRWEqY9AmBmVYT1Eupi9eqA\nI8ysZ6zsm8BaYE4R4hQREakI5bTiYhVhMSWAgUAvMzsuuv+Qu68xs6nAZDNrIrQKTCIkOtNih5oO\nnA7cZ2aXArsBFwJXZE2LFBERkVaUTZIA9APuzirL3B8KLASmEpKC84G+wLPAl919WWYHd28yszHA\n1YQ1FFYAVxISBREREclR2SQJ7r4Q6NJGnWbg19GttXovA6PzFpyIiEgnlKYxCSIiIlJEShJEREQk\nkZIEERERSaQkQURERBIpSRAREZFEShJEREQkkZIEERERSaQkQURERBIpSRAREZFEShJEREQkkZIE\nERERSaQkQURERBKVzQWeKll9Qz11C+poXNVIdc9qaofVUjOwptRhiYiItEpJQoHVN9Qz4/kZG+83\nrGzYeF+JgoiIlDN1NxRY3YK6xPKZC2YWORIREZH2yWuSYGZdzawqn8dMu8ZVjYnlS1YtKXIkIiIi\n7ZPvloTzgFV5PmaqVfesTiwf0HNAkSMRERFpH3U3FFjtsNrE8rHDxhY5EhERkfbRwMUCywxOnLlg\nJktWLWFAzwGMHTZWgxZFRKTsKUkogpqBNUoKREQkddTdICIiIonabEkws/3acbz+HYhFREREykgu\n3Q0vAs05Hq9LO+qKiIhIGcslSfhBwaMQERGRstNmkuDuNxcjEBERESkvqZrdYGaPAyO3sPlgd3/K\nzBYCu2RtW+buGi8hIiLSDu1OEsxsCPAdYCjQhzAOIa7Z3Y/NQ2xJTgV6ZZVNAT4H1MfKbgOmxe6v\nK1A8IiIiFatdSYKZnQTcGO23AngvoVrBBi66+8tZ8XQDPg/c6e4fxzY1uvvThYpDRESkM2hvS8L/\nAK8Ax7v7/ALE015jCa0Zt5c6EBERkUrT3iShLzC1TBIEgBOAxcDcrPKTzex0YC3wMHC2u79Z7OBE\nRETSrL0rLv4d2L0QgbRXdEnqrwJ3uXu8i+MBwtiFMcC5wAhgrpn1Ln6UIiIi6dXeloSfALPM7F/A\nn9x9fQFiytXRwCfI6mpw9zNid+ea2ZOEBaF+APy2eOGJiIikW7uSBHefb2aXADOA68xsKZCdKDS7\nezFaG04AFrj7s61Vcvd/mZkDw4sQk4iISMVo7+yGnwKXEGY2/JPk2Q0FF3Ud1AK/yXGXZrRctIiI\nSLu0t7thEjAb+Kq7f1iAeHL1NaA7OcxqMLN9gD2APxQ6KBERkUrS3iShB3BfiRMECF0N/3T3V+KF\nZnYU8G3gL8ASQnJwAbAIuKnIMYqIiKRae2c31AGHFCKQXJnZToSZC3ckbH4L6EcYoPg34JeEKZCH\nuvvKogUpIiJSAdrbkvBz4B4z+x1wA+EX+mYzHAr5hezu7wDbbWHbS4QEQkRERDqovUnCq9HfzwKn\ntVKv69aFIyIiIuWivUnCFDRLQEREpFNo7zoJFxYoDhERESkzbQ5cNLMJ0eWhRUREpBPJpSXhf4Cr\nzWwe8FB0m5t1aWYRERGpMLkkCTsBhxJWODwSOBtYaWaPAH8F6ty9sXAhioiISCm0mSREF3GaE93O\nM7NBwFGEpOEq4Hoze4nQwvBX4KmsqzKKiIhICrV3MSXcfbG7X+fuxwA7AmOBx4BjgSeAd8zsdjM7\nML+hioiISDG1dwpkC+7+EWFFw4eBSWa2G5taGf4LeKbDEYqIiEhJdChJyOburwPTopuIiIikWJtJ\ngpld0crmZuAD4E1glru/ma/AREREpLRyaUk4M8djrTezy939vI4EJCIiIuUhl9kNrQ5uNLMegBGu\n5XCumb3q7jfkKT4REREpkQ6PSXD3tcCLwA/NbBfgFMIVIkVERCTF2j0Fsg11wJ55PqaIiIiUQL6T\nhPVAlzwfU0REREog30nCGGB+no8pIiIiJZCXdRKiq0ROBL4CnJWPY4qIiEhp5bJOQhNhPYQt2R7o\nTuhmuMndf5en2ERERKSEcmlJeIDWk4QPgEWEq0G+mJeoREREpORyWSfh+0WIQ0RERMpMu8YkmNnd\nwD+BfwEvRddqiG/fF1jj7q/lL0QREREphfYOXBxGGJzYHWg2szXAv4GXCInDwUANsHs+gxQREZHi\na1eS4O6fM7OuhGWY9wX2Az4LnAB8Iqr2Vl4jFBERkZJo9xRId18PvBzd7gQws27A/wHOAI7KZ4Ai\nIiJSGnlZTMnd17n7xcCjwP/k45giIiJSWnlZTCnmCQqYJJjZ94EbEzZNcPfpUZ0uwPnABGAnoB44\nXdMzRURE2qe9sxv+QJjd8L+E2Q0rsqoMA5blKbbWjAbWxu7HZ1mcB0wGzgXmAZOA2Wa2j7svLUJs\nbapvqKduQR2Nqxqp7llN7bBaagbWlDosERGRFtrbkjAWGB/9u9nMGghJgwP9gKOBk/IX3hbVu/vq\n7EIz256QJFzi7ldHZU8BCwnLRl9QhNhaVd9Qz4znZ2y837CyYeN9JQoiIlJO2ju7YYiZ9QL2iW77\nRn+/S2jaB/izmS0AXoluL7v77fkLuVUHA72Au2Ixv29mDwK1lEGSULegLrF85oKZShJERKSsbM3s\nhpXAk9FtIzP7FJuShkwCcQRQBeQ7SXjNzPoCrwFXuPt1UfkehMtVv5pV/xXgm3mOYas0rmpMLH9x\n6YtMmTNFXRAiIlI28jZw0d2XEcYjzI6Xm9nQfD0G0EgYb/APoCthfYbpZlbl7lcCfYDV0TTNuCag\nysy6ufu6PMbTbtU9q2lY2dCi7O3332bxysXsVBUaY9QFISIi5SDfsxs24+5v5PFYs4BZsaK6aBzC\nBWZ2Vb4ep5Bqh9W2GJMA8NbKtxjSe8hmddUFISIipZSXdRJK7B5gR2BXQovBDtGqkHF9CNeUKGkr\nAoSWgfHDxzOo1yC26bINg3oNYpfeu7Bz1c6b1V2yakkJIhQREQkK3pJQBM2xv/MI3RDDCDMuMvaI\ntpWFmoE1LVoIpsyZslkXBMCAngOKGZaIiEgLldCScBzwDvAmYTDlSuD4zEYzqyJMzUyeVlAGaofV\nJpaPHTa2yJGIiIhskqqWBDO7lzBo8SVCi8E3o9vp7r4B+MDMpgKTzayJTYspbQNMK03Ubcu0Ksxc\nMJMlq5YwoOeAjQmCZjyIiEippCpJIHQh/DcwGOhCuMjUd939T7E6UwlJwflAX+BZ4MvR7Iuyld0F\noUWXRESk1FKVJLj7z4CftVGnGfh1dEstLbokIiKlVgljEirSlhZd0owHEREpFiUJZaq6Z3ViuWY8\niIhIsShJKFOa8SAiIqWWqjEJnUnSjIchvYdQt6COP77wR812EBGRglOSUMbiMx4020FERIpN3Q0p\n0dpsBxERkUJQkpASmu0gIiLFpiQhJTTbQUREik1JQkpotoOIiBSbBi6mxJau76BBiyIiUihKElIk\n+/oOIiIihaTuBhEREUmkJEFEREQSqbsh5eob6qlbUEfjqkatwigiInmlJCHFtAqjiIgUkrobUkyr\nMIqISCEpSUgxrcIoIiKFpCQhxbQKo4iIFJKShBTTKowiIlJIGriYYlqFUURECklJQsq1tgpja9Mj\nCz11UlMzRUTST0lChWpteiRQ0KmTmpopIlIZNCahQrU2PbLQUyc1NVNEpDKoJaFCbc30yHxNndTU\nTBGRyqCWhArV2vTIQk+d1NRMEZHKoCShQrU2PXJrpk7WN9QzZc4UJvxlAlPmTKG+oX6rHltERNIj\nVd0NZnY88B3gAKA34MBl7n57rM7jwMiE3Xu4+wfFiLMc5DI9Mtepk+0diKipmSIilSFVSQIwCXgD\nOAt4BzgSuM3MdnL3abF6jwE/y9r3w3wHU+7T/FqbHtnatmytDUTMx/FFRKQ8pS1JONrd34ndf9TM\nBhCSh3iS8K67P13IQDrTND8NRBQR6ZxSNSYhK0HIeAEo+oi4zjTNTwMRRUQ6p1QlCVswApifVXa4\nma2JbrPMbL98P2hn+nWtgYgiIp1TqpMEMxsDHANcHiueA5wBHAH8CBgCzDWzXfP52J3p13XNwBrG\nDx/PoF6D2KbLNgzqNYjxw8dXXLeKiIi0lLYxCRtFX/q3AQ+4+02Zcnf/ZazaXDObDcwDzoxueVE7\nrLbFmISMSv11rYGIIiKdTyqTBDPbEagD3gROaq2uuy81s78Dw/MZg6b5lU65zyoREakUqUsSzKwK\n+AvQDfiKu6/JYbfm6JZX+nVdfJ1pVomISKmlakyCmW0L3A18Ghjr7m/nsE9/4FDguQKHJ0XQmWaV\niIiUWtpaEn5PWEDpDKCvmfWNbXsBMOASQiLxJmHQ4vnABuC3xQ1VCqEzzSoRESm1tCUJh0d/r0rY\nNhRYDnQhJAp9gVXA48Ax7r6oGAFKYVX3rKZhZcNm5ZU4q0REpNRSlSS4+645VDuy0HFI6XS2WSUi\nIqWUqiRBRLNKRESKR0mCpI5mlYiIFEeqZjeIiIhI8ShJEBERkURKEkRERCSRxiSIZCn0ss9aVlpE\n0kJJgkhMoZd91rLSIpIm6m4QiSn0ss9aVlpE0kRJgkhMoZd91rLSIpImShJEYqp7VieW52vZ50If\nX0Qkn5QkiMTUDqtNLM/Xss+FPr6ISD5p4GKONCK9cyj0ss+FPr5ep1um/xuR9lOSkAONSO9cCr3s\nc6GOX4zXaVq/aPUeFtk66m7IgUakSxoU+nWa+aJtWNnAhuYNG79o6xvq83L8QtJ7WGTrKEnIgUak\nSxoU+nWa5i9avYdFto66G3JQ3bOahpUNm5VrRLqUk0K/Tgv9RVvIrgy9h0snrV1UkO7Y80UtCTnQ\niHRJg0K/Tgs5fbPQXRl6D5dGmruo0hx7PqklIQeFHpEukg+Ffp3WDqttMfgvIx9ftK11ZeQj/rS/\nh9P6i7bQ57WQ0hx7Rj5eN0oSclToEe8i+VDI12khv2iLMWYgre/hNM/MSPNYkDTHDvl73ShJEJGc\nFeqLVmMGtizNv2jTfF7THDvk73WjMQkiUnIaM7Blaf5Fm+bzmubYIX+vG7UkiEjJpX3MQCGl+Rdt\nms9rmmOH/L1ulCSISFlI65iBQivkgNFiSPN5TXPs+XrdKEloqSvA0qVLSx2HiAgA1VQzbsA45iyc\nw7L3l/GpT3yKkbuOpLq5msWLF5c6PClTub5uYt93XZOO06W5ubkI4aaDmR0KzC11HCIiIkV2mLs/\nkV2oloSW6oHDgEZgfYljERERKbSuQDXh+28zakkQERGRRJoCKSIiIomUJIiIiEgiJQkiIiKSSEmC\niIiIJNLshhyZ2V7ANGAEsAKYAVzk7qmdBWFmxwPfAQ4AegMOXObut8fqPA6MTNi9h7t/UIw488HM\nvg/cmLBpgrtPj+p0Ac4HJgA7EUb7nu7uLxYrznxo5ZwBHOzuT5nZQmCXrG3L3L1/AUPrMDMbBpxL\neB/uDcx191FZdXI6j+X+nm7ruZpZNTAJOBzYHWgCHgXOd/clsXqjgMcSHuJSdz+vUPG3R47ndSE5\nvGYr4LyOIvl8AfzN3Y+I6n2fNj7T8kFJQg7MrA8wG3gZGEd4Q15OaIm5oIShddQk4A3gLOAd4Ejg\nNjPbyd2nxeo9Bvwsa98PixNi3o0G1sbuvx7793nAZMIbeB7h/2e2me3j7mlaYetUoFdW2RTgc7Sc\n5nQb4cM0Y12B48qHvQmv06eB7bZQp83zmJL3dFvP9QDga4QvwWeATwEXAk9Gz3V1Vv2TaPl633zN\n3tLJ5bxCG6/ZCjmvzxMSiLghwJ1A0lWbWvtM6zAlCbk5BegB/397dx5rR1mHcfwLyGJF4FLABdEW\nKU9VFCMkCGiUsCslKChVRKoYJAYouBFWQaKsIkhlSVS2sBSKUopiAQ1YAUE2gUB/QOVCUYQCF1Ar\ntKX1j3dOGaZzeqa955575tznk9zMPbOdd/LO8jvv+8778vmIeAW4SdI6wAmSTsvm1dGEiHg+9/mP\nkt5NuqnmL8QXI+IvnU3akPlryc0TSWuRHi4nR8SUbN4dQD9wCN1zg2kpIh7Of5a0BrA1MDUiFuUW\nPVPDfJ0REdMBJE0jlRQstQL5WIdrernHCvwZGJ/PU0n3kkoE9wYuLqz/QEQ8NITpHYxWx9rQ6pyt\nfb5maXzTMUr6JLAYuKpkf6X3tHZxm4RqdgdmFk6wK0knY7Ni3a5XCBAa7gO6f+SY9tuO9Ot76UUY\nEf8FZpDyv852A/qAK1O4KxQAAAiySURBVFqt2O0iYnGLVarmY9df062ONSJeKgR9RMSjwHxqdg1X\nyNeqap+vTXwJuDVfjdQpDhKqGU8qtlwqIp4iXYzjhyVFQ2db4NHCvF0kzc/+Zkr6yHAkrE3mSFok\nKSR9Mzd/PKmXzccK6z9C/fN4IvA0y3Y5fqCkBZJeljRNUrG+t46q5mNPXtPZtTmKZa9hSCWFr0vq\nl3SspNK++rtcq3O25/JV0uakqsJmQX6ze1pbOEiopo/UAKZoIFvWEyTtCOxFqsNruBWYDOwKHESq\nG5slaUzHEzg4z5DqqfcHJpCK886XdES2vA/4T0njpgFgVFZkXzuSRgF7AldFRL571emktgs78kYj\nqlmS1u18Ktuqaj723DUtaVXgbFKAdF1u0cvAKcAk0nV8LXAicGaHkzhYVc7ZnstXUpC/ELimML/V\nPa0t3CbBAMge+pcD0yPiosb8iPhBbrVZkm4mReqHZ3+1EBEzgZm5WTdk9dfHSjp7mJLVCROAt1H4\nFRIRk3MfZ0m6Hbgf+BpwVueSZ210MunB+amIWNiYGRH3kaoRG26W9BrwbUknNal27Doj+JydSHqr\n4cX8zFb3tHZV4bgkoZoB0iuCRX3ZslqTtD6p1eyTpBbQTWWtw28DPtaBpA21acD6wBhSPq5dUgTb\nB8yPiDq0/C8zEXg8Iu5e3kpZg7ag/vlaNR976pqW9C3Sr+sDIuLOCptMI/1IrG3VYZNzttfydUvg\nA1RvT5S/p7WFg4RqZlOoz5K0Canub3bpFjWRFUdfD6wB7BER8ytstiT7q7sluels0mhomxXWWaaO\nsy6yYtjdqX6D6YV8rZqPPXNNS9qb9DbS9yNiasXNlhSmdVU8Z3smXzMTSa83Tq+4ftvz1UFCNTcA\nu0p6e27evqTMu3V4kjR4kt4CXA2MA3aLiOcqbPNO4BPAPUOcvE7Yh9Q/xJPA7cArwBcaC7MAagLl\n7ybXweeANakQJEjagnRzrXu+Vs3Hnrims453LgPOiYgzVmDTfYBFwANDka5OaHLO9kS+5kwkvTJZ\n9RXH/D2tLdwmoZrzgcOAX0s6FdiU1GnJmV3y3u3KOpfUqcdkYLSk0bll9wEi1XNeTTrp3kvqyW4x\nNasDlHQNcBfpprga6caxL6knvsXAq5JOAY6TNMAbnfCsypv7jKiTicDfIuKR/ExJnwW+QipB+ifp\nRnss8BRwUYfTuEKyB/5nso8bA+tI2if7/LuImF8xH7v+mm51rKTeB68lHeNUSR/PbT4vIuZk+zkP\nmEfqSGtBts9DgLMi4oUhP5AKKhzrDlQ7Z2ufr43S3Cw/x5A6uyvbT6t7Wls4SKggIgaylv9TSO9b\nvwT8lHTy1dku2bSs4d5Y4AVgFVKgMBr4N3ALsFf2WlGdBPB1YBPSMT0MfDUiLs2tcwrpYXIU6Xjv\nBnaOiGc7nNZBk7QBqRX4cSWL5wIbkQK99Uj5/Hvg6G65kS7HRqSgNa/xeSyp06SW+ViTa7rVsW5D\nqn/fklSCkncx6W0GSK9/foP0sFkDeBz4DuXX/XBpdayVztkeydf+7P+JpDdTmpVkVrmnDdoqS5bU\nvUrKzMzMhoLbJJiZmVkpBwlmZmZWykGCmZmZlXKQYGZmZqUcJJiZmVkpBwlmZmZWykGC2QgnaZKk\nJd02sqekL0t6TtJb27jPfkkXreS2t2Ud9JiNGO5MyawHSaraAcrYIU3ISsq6DD8B+FlE/G+Yk9Nw\nGnCZpJ9U6cLcrBc4SDDrTfsXPh9O6sa32MXrPOBS4ErgtQ6kq6o9gfcDv2jzfkXqVnxlzCCNC3Ew\n8MO2pcisi7nHRbMRQNK1wEcjYsxwp6UKSTOAtSNih+FOS56kc0gja46LCN88ree5JMFshJM0CbgQ\nGBsR/dm8fuB+4OfAqaQx7R8BDo6IuyQdABxDGvTrTmBSRDxR2O92wImkMQZWA+4AjoyI5Y40KWkt\n0rgiy/xaz6pRziYNbHN89v13AwdGxGOSvgccCmwI3JSl68Xc9v3ALRExqXDs25L6yt+PNKzwjcBB\nETGvkISbSIMjbQE8uLzjMOsFbrhoZs2MBy4hjTR4DPAe4HpJBwJHAxeQAohtKFQLSNqJNBjYmqSH\n+XHZ9n+S9MEW37sVaSCie5ss3wH4MfAr4EfZ+r+RdDTwReAM0miAewCnVzzWc4EPkdpBnEcaWnpK\nyXqNAGf7ivs1qzWXJJhZMwK2iYi7ACQ9DUwlPXjHNYYZlrQ6cJSkTSJirqRVSQ/amRExYenOpF+S\nhjU+nvSrvZnx2fSJJss3BzaPiLnZfheSgpVJwIc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8HH379kVKSgo6duyo7GNnZ4fU1FTEx8dj5syZEAqFiIiIQExMjCF2i4iIyKQJFAqFwtBF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\nOUyaNEmv/csvv8Tf//53vPzyy3j66aehUCiwc+dOeHt7681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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -359,7 +359,7 @@ }, { "cell_type": "code", - "execution_count": 69, + "execution_count": 6, "metadata": { "collapsed": true }, @@ -377,7 +377,7 @@ }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 7, "metadata": { "collapsed": true }, @@ -395,7 +395,7 @@ }, { "cell_type": "code", - "execution_count": 71, + "execution_count": 8, "metadata": { "scrolled": true }, @@ -406,7 +406,7 @@ "array(68.0)" ] }, - "execution_count": 71, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -424,7 +424,7 @@ }, { "cell_type": "code", - "execution_count": 72, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -436,9 +436,9 @@ }, { "data": { - "image/png": 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siES5VjUIRo0tmojjLRrtOlNKqcBaNH/DWiHgPWA11od3kxGRC4AXgKeB5UAP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\nXQTQxxizx/NcoBuftRvrMtfx/LrnOVp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0tYKr7cqqaG6obnAq+RTH44+z8teVnEw8WVPhCSFErVBp09moUaN48803efPN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\n0W/uh0QiQbBfMGReMkTIIxAhF7f3bZudFhYYxjt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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -466,7 +466,7 @@ }, { "cell_type": "code", - "execution_count": 73, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -478,9 +478,9 @@ }, { "data": { - "image/png": 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mzvlNa/2+UuoW4C/AK47DWzBWI3BKBMq11vVeDy8BLEqpSOeqBoFwb9E4q83c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\n5x0IHAOsauHzocCjwGvAI9n270maBFwPPEEaUfh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RjBo1ih9++IG8vLzyLjXJy8tjz549jBo1qkrB1XYlVTS3Mm9xKvEUR+OOEvZb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\nhBCv+j/FGp0rKGHB0gAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -512,7 +512,7 @@ }, { "cell_type": "code", - "execution_count": 74, + "execution_count": 11, "metadata": { "collapsed": true }, @@ -533,7 +533,7 @@ }, { "cell_type": "code", - "execution_count": 75, + "execution_count": 12, "metadata": { "collapsed": true }, @@ -552,7 +552,7 @@ }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 13, "metadata": { "collapsed": true }, @@ -570,7 +570,7 @@ }, { "cell_type": "code", - "execution_count": 77, + "execution_count": 14, "metadata": { "collapsed": true }, @@ -591,7 +591,7 @@ }, { "cell_type": "code", - "execution_count": 78, + "execution_count": 15, "metadata": { "collapsed": true }, @@ -627,7 +627,7 @@ }, { "cell_type": "code", - "execution_count": 79, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -673,7 +673,7 @@ "dtype: float64" ] }, - "execution_count": 79, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -691,7 +691,7 @@ }, { "cell_type": "code", - "execution_count": 80, + "execution_count": 17, "metadata": { "collapsed": true }, @@ -726,15 +726,15 @@ }, { "cell_type": "code", - "execution_count": 81, + "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 192 ms, sys: 3 ms, total: 195 ms\n", - "Wall time: 192 ms\n" + "CPU times: user 327 ms, sys: 2.89 ms, total: 330 ms\n", + "Wall time: 357 ms\n" ] } ], @@ -751,7 +751,7 @@ }, { "cell_type": "code", - "execution_count": 82, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -1157,7 +1157,7 @@ "[92 rows x 2 columns]" ] }, - "execution_count": 82, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" } @@ -1175,7 +1175,7 @@ }, { "cell_type": "code", - "execution_count": 83, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -1187,9 +1187,9 @@ }, { "data": { - "image/png": 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k5xVduRLmzQtpMUVE5ARS1ouDVbPW7vHuW2u3AXd5NimBhQtzFwsD2LQpdz8l\nBfr1g+nT3f7UqdCmjVv3Q0REpCyVdQ3FTmPMXGPMfcaYU8v4sU4I3mDB34wZ7vb883OXPD90yDV9\naNSHiIiUtbLuQ3ElkIqrkRhljNkATAc+A+ZYaw+U8eNXOFu25J/+00+u+WPLFqhc2XXKrFsXrIX5\n86Fnz+CWU0RETixlvdroFGAKgDGmE3AeLsD4K3DYGPMV8DnwubV21XEvJDnq1XPNHL7S0mDjxtym\njX373KJh2dmQmOgWD2vdWk0fIiJSdoLZKXOxtfZxa21XIBG4AdgOPAysMMasNMa8YIzpa4yJC1a5\nwo3v8FCvDRugYcO8aY0bw+7d7v6hQ/Daa27iKxERkbIQkuXLrbW7rLVvW2uvwgUX3YH3cMNHPwf+\nHopyhYOUFLjhBmjQwI3oaNDABQ916+bNFxkJ9evnjvpYvRpmzgx+eUVE5MQQzHko8mWtzQa+82yP\nGGNOAmqEtlTlW0qK27xGjjy2GQTAGOjQAaZNc/uffOKaPho3Dk45RUTkxBG0gMIY06iQLNnAQSDN\nM7xUiig1Ne9QUq9Gjdzy5j//DEeOuGaR116Dhx6C2Njgl1NERCquYNZQrCPvcubHc9AYMx943Fr7\nTX4ZjDGXAn8GOuFqMyzwjLX2Xb98fwXuBxoCvwL3W2vn+OWpD4wFzgEO4Zpe7rfW7i/6Uwstb23F\njBlupszkZBdMfPutSz/lFDeL5ooVbn/qVBg8ODRlFRGRiimYfSiuB5biptgeC9zp2V70pP0E3IFb\ndfR04AtjzFnHudbdwF7ccNQLgLnAO8aYnKm7jTFXAOOAN3EjS34FPjXGtPHJEwPMBBoDgz2Pfynw\nn0A84WBKSYHhw+Hll93t+vW5xypXhmbN3P2NG93iYb9qTlIREQmgYNZQJAOxQAtr7W7fA8aYEcDX\nQGVr7Z3GmMeBxcCjuPU//A201u7w2f/CGJOMCzTGeNJGABOttY97HmMe0AF4ALjKk+cSoJWnTGs9\n+Q4D7xljHgvnoaz+81UkJcGuXW4DeOMNF3hUrx70oomISAUUzBqKm4AJ/sEEuFEfwATcAmJYa3cC\nr+FqKo7hF0x4/YgLWjDGNANOAd73OScLNyeG78DLVGChN5jw+AjIBPoX9YmVR97ZMr0iIlzTR0KC\n28/IcP0pNIumiIgEQjADitpAfAHH4wHfwY9bgOKsldkFWOm539Jzu8Ivz3KgljGmrk++PHmstZnA\nap9rhKX85quIiYHbb8/dX748d8puERGR0ghmQLEQuN0Y09r/gGedj9uAH3ySWwH5DIY8ljGmD3Ah\n8KwnyfM7HP/akHS/4wn55PHX+M8sAAAgAElEQVTmS8gnPWzkN19F165uKu71693oj7Q0N5R09epQ\nl1ZERMJdMPtQ3IbrPLnUM4rjN096C6AHkAHcDmCMqYQbdTG1sIsaY5oA7wAfW2vfCHipw5jvfBW+\nq5Q2agTp6bmjPsaPd/0pqlQJTTlFRCT8BXPq7aVAW+AlXF+HP3u2ZE/aaZ48WGsPWmtPs9YOK+ia\nxphauMXG1uMWIvPy1kT4T5CV4Hc8PZ883nzp+aSHLd9VSiMioGVLiI52oz7S02HiRPWnEBGRkgvq\nTJnW2s14aiFKyxgTD3yKGzlyvt+8Ed5+ES1xwQY++7ustdt98uXpK2GMiQWa4YacVhj+oz4qVXIz\naS5b5vZnzYIFCyA+3nXoTE3NOxuniIhIQYIaUHhmy/wz0BRXC+Df6TLbWntxEa4TjRuxcTLQ1Vqb\n5nvcWrvGGLMSN6fETM85kZ59n9/qTAeGGGMaW2u9gccFQBxQobor5rdKae3a0KaN60uxYoWruTjt\nNLeImLd5REGFiIgURTCn3r4SeN3zmLuBP/LJVtRK95dwS6HfAdQ2xtT2OfajtfYQbh6KScaYdcA3\nwDW4AGSIT94PgIeAqcaY4bjmj+eAd8J5Dor8HG967rvucv0nwDV5LF/u1v+Ii3MjQBRQiIhIUQSz\nhuIfuGGbl1prVxaWuRB9Pbcv5HOsKbDOWvuuMaYqbuXS4biZMs+31v7izWitPWyM6Y+bufN9cqfe\nvq+U5St38pueu39/l96oEWzfDpmZblu+3NVUbN4c2jKLiEj4CGZAURsYFYBgAmttkyLmG4+byrug\nPBtxQ04rPP9VSr2aNIH9+2HpUldLkZHhhpKefXbQiygiImEqmPNQfAM0D+LjSRGlpkKNGrnrfYDr\nxOk/26aIiMjxBHseipnGmF+At6y1R4P42FIAb63F9Omwdy/s2+cmwvrxR1izJm+gISIikp+I7CBO\nPmCM+RuuQ+VRYKvn1le2tTYsajE8E2qtnTNnDg0aNAh1cQLm0CEYNSq3/0S1ajBsmBsRIiIiJ66N\nGzfSp08fgKbW2nX+x4PW5GGMuR94GTe64xtgCfCz37Y0WOWR/MXFwS235M6auWcPjB0LBw+Gtlwi\nIlK+BbPJ425gNnCBZ1inlFN168LNN8Nzz8HRo662Yvx4uPVWty6IiIiIv2B+PVQGpiqYCA8nnwxX\nX527/8sv8MEHoSuPiIiUb8EMKKYD3YL4eFJKZ56Zdxn0OXPgyy9DVhwRESnHgtnk8RDwgTHm38Cr\nwO8c2ykTa21GEMskhRg0CLZtgyVL3P5770HNmtC+fWjLJSIi5UswayhWAe2AobgOmTtwK3r6b1KO\nRETAdde5ya/ATXw1fjysqlATk4uISGkFs4ZiJEVfq0PKkdhY6NLFTdu9fbtbkXT4cHj2WahfP9Sl\nExGR8iBoAYW1dkSwHksCa+FCePddV0uxe7eb+Ornn+GBB+D55zVHhYiIBLfJQ8LUdM+C75UqueXO\noz1h6IoV8MILbq4KERE5sSmgkEJt2ZJ7v2pVOPVUNx/Fvn2uw+YLL7jFxURE5MSlgEIK5b9IWI0a\n0LJl7myaGza4oEKzaYqInLgUUEihfOei8KpTB268MXd/3Tr497/dWiAiInLiCeYoDwlT3tVIZ8xw\n03AnJ0P//i79lFPg7bfd8dWr3bofXbrA7Nm5S6CnpuZeQ0REKiYFFFIkKSn5BwU9e8KRIzB5stv/\n+mv48MPcfhabNsGECbnXEBGRiklNHlJqvXvDxRe7+xs2QHq6W/vjqM88qDNmhKZsIiISHAooJCD6\n9nXTdHtHe+zeDf/3f672AlxTiYiIVFwKKCRgzjsPOnXK3c/IcEHF4cOu34WIiFRcCigkoG6/HZo3\nz93fsweWLoXu3UNXJhERKXth2SnTGNMCuA/oApwKzLfWnuWXZx3Q2O/UbdbaJL98rYExnmvtBiYA\nj1lrj1kJVQqXkgKPPgr/+Q98+61b96NBA/jiC2jb1g03FRGRiicsAwpcEHEe8D0QU0C+d3DBglem\n70FjTAIwG1gGDAKaA8/iam4eDmB5TyjeESE//ACvvw5ZWZCWBqNGwW23QWP/ME9ERMJeuAYU06y1\nHwMYYz4Ajve7d4u19vsCrnMTUBm4yFqbAcwyxlQHRhhjnvakSQl17gxxcW6588OHXfPHs8+6CbFO\nPTXUpRMRkUAKyz4U1tqsAF0qFZjpFzi8hwsyegXoMU5o7drBXXe5pg9wM2mOHeuaQ0REpOIIy4Ci\nGK43xmQaY/4wxnxgjPGvbG8JrPBNsNb+Duz3HJMAaN4c7r8fatVy+1lZMHEifPopZGeHtmwiIhIY\nFTmg+Bi4BehDbgfO+caYGj55EnAdMf2le45JgNSrB3//u+ug6TVtmptFMzPz+OeJiEh4CNc+FIWy\n1t7hszvfGPMt8BNwHfB8aEp1YqtZE+67D8aNg+XLXdqiRa7D5i23QIJCOBGRsFWRayjysNb+Alig\no09yOlAjn+wJnmMSYJUquZEeZ5+dm/b77/CPf8CaNaErl4iIlM4JE1B4ZHs2rxX49ZUwxjQE4vHr\nWyGBExUFgwfDlVe6BcTAzar57LPwzTehLZuIiJTMCRNQGGPa4IKHxT7J04F+xphqPmmXAweAeUEs\n3gmpZ083AmTPHli8GObOhTvucBNjqV+FiEh4Ccs+FMaYeNzEVgD1gerGmEs8+58DZwNXAZ8Cm3GB\nxMPA78AbPpcaB9wOTDXGjAaaASOAf2kOiuD44w+I8UxNlp0N+/bB++/Dtm0wciQkJoa2fCIiUjTh\nWkORCEzxbGcCrX32E4ENntvngf8BjwKzgO6+gYK1Nh03CiQKmAY8BjznyS9BMH2661fRvj2cdFJu\n+uLF8OST8OOPoSubiIgUXVjWUFhr1wERhWTrU8RrLQN6l7ZMUjJbtrjbqCg45RSoXh1Wr3Y1FQcP\nuhEhPXvCpZdCbGxoyyoiIscXrjUUUkHUq5d7PyLC7bdvD3Xr5qZ/9ZUbBbJhQ/DLJyIiRaOAQkIq\nNfXYtKpV4YknoKPPAN8tW9ziYrNna3ZNEZHyKCybPKTiSElxtzNmwObNkJwM/fu79O7d3Zof773n\nRn0cOQJTpsAvv8DVV+dO5S0iIqGngEJCzrvcub+ICOjWDVq0gFdfhfXrXfry5fDYY3DJJS7oiCis\nN42IiJQ5NXlIuXfSSW5xsX79coOHgwdh0iR44QXYuTO05RMREQUUEiaio+Gii1xg4Tu81FtbMXeu\nW8VURERCQwGFhJVmzWD4cOjbN7e24tAh189i9Gi3LoiIiASfAgoJOzExcPHFx9ZWrFvnhpe+/75r\nEhERkeBRp0wJW97aipkz3YybR464IaVz5riZNi+6CDp3dkukT5/uhp7Wq+eGqubXCVREREpOAYWE\ntZgYOP98Fzi8/Tas8KwRu3s3vPYavPkmpKdDNc/yb5s2wYQJ7r6CChGRwFGTh1QIiYlw551w/fVu\n+m6vBQvceiDWur4WXjNmBL+MIiIVmWoopMKIiHA1FaedBp9/7po+9u93x7Ztg+3boX59aNjQTaIl\nIiKBo4BCKpxKlVz/iR493KiP335z6VlZbj2QLVvceiGHDkFcXGjLKiJSUajJQyqsunXhkUdcjUXV\nqrnpR47A3r3w8MPwxRdw+HDoyigiUlGohkIqtJQUuPdeN8pj6VLYsQMSElyfi4wMmDzZHTv3XOjV\nSzUWIiIlpYBCKjzftUKystyCY9OmuZEg4AKLDz90HTW9gUV8fOjKKyISjhRQyAklMtItKHbGGfD1\n124Oi/R0d2zfPvjoI1dj0bUrnHMO1KkT2vKKiIQLBRRyQoqJgbPPdh03v/vOBRHeRcYOHXJrg3z5\nJXTo4AKLZs20qqmISEEUUMgJLTraBRVdu8IPP8CsWW7yK3Czbi5Z4rYGDVxTSOfObhSJiIjkpYBC\nBIiKgi5d4Mwz3Qqms2bBsmW5xzdudDNxfvihay7p0cPNZyEiIo4CChEfERHQurXbNm+G2bNdzYV3\naOnBgzBvntsaNHA1G507507tLSJyolJAIXIcyclw9dVwySXw/fcuiNi6Nff4xo0wdqy7rVTJBSHX\nXOOCDBGRE01YBhTGmBbAfUAX4FRgvrX2LL88EcAw4GagDrAQuN1a+5NfvtbAGM+1dgMTgMestUfL\n+GlImIiPh969XSfOVatg/ny3PsimTbmLke3dC199Bd98A4MGwWWXwamnuj4aIiIngnD9uDsVOA/4\nHog5Tp4HgOG4wGMFcDcw2xjTxlq7FcAYkwDMBpYBg4DmwLO4GUQfLssnIOEnIgJOOcVtBw7A0KFu\nIbKMjNw8R4/C//7nJtCqVAnatHHTfLdpA5Urh67sIiJlLVwDimnW2o8BjDEf4GogchhjKuECiqes\ntWM9ad8B64Ch5AYLNwGVgYustRnALGNMdWCEMeZpT5rIMSpXhthYFywcOABpaW7xsf373XwW4Ppb\nLFrktqgoMMZNA96mjZsWXESkIgnLgMJam1VIlq5AdeB9n3P2GWOmAankBhSpwEy/wOE9YDTQC5gW\nsEJLhVOvnmv2qFwZGjeGRo1cQJGV5SbE2rEjN+/Ro27UiHfkSGKiaxJp0wZOPllTfotI+AvLgKII\nWgJHgVV+6cuBy/3yfeGbwVr7uzFmv+eYAgo5rtRUmDAhdz8iAqpUgRtugNNPd8HGzz/DTz+5VU99\npaW5be5cN3tn06bQsqXbmjZ1E2+JiISTihpQJAB78+lYmQ7EG2NirbWZnny78zk/3XNM5Li864PM\nmOGGmCYnQ//+uekNGrhtwADYtcstTvbrr64jZ2Zm7nWysmD1ard99pnryNm0KbRo4bZmzbS2iIiU\nfxU1oBAJCt+FxwpSqxacdZbbDh+G336DX35xTSCbN+fNe+SIG02yylO/FhHhmleaNoUmTdxtcrLr\nlyEiUl5U1IAiHahqjInyq6VIAPZ7aie8+Wrkc36C55hIwMXEQKtWbgPYswesdduKFa4pxFd2tgs6\nNm92w1K912jY0PXbaNTI3U9O1jBVEQmdivrxswKIAloA1ie9peeYb76WvicaYxoC8X75im3hQrfg\n1JYt7tdlamrRfsnKiadaNdfn4vTT3X5GhqvB+O03t0DZwoVu5Eh8vAscEhNdLceaNW7zioqCk06C\n+vVzt+RkqF1bC5uJSNmrqAHFt0AGcCnwBIAxJh4YCPzHJ9904D5jTDVr7R5P2uXAAWBeSR984cK8\nnfU2bcrdV1AhhaleHTp2dCND5syBdu3cxFl79rgVUWvUyH9UyNGjuTUZCxfmpsfEQFJS7nbSSS4o\nSUzU3BgiEjhhGVB4goPzPLv1gerGmEs8+59ba/cbY0YBw40x6eRObBWJmxXTaxxwOzDVGDMaaAaM\nAP5Vmjkopk/PP33GDAUUUnTe91FUlAsianga5xo0gDvugA0b3OgR7+Y7TNXX4cMu74YNxx6rVs3N\niVGnTu5Wu7bbEhLUhCJSlrKzXZ+pQGxHjxbvuP/+xo2uY3hUlJsZeMCA4n9fhevHRSIwxS/Nu98U\nN4HVKFwAMQyoDSwCzrXWbvOeYK1NN8b0AcbihojuBp7DBRUltmVL/un+ne9EClLQ+6h6dTePxamn\n5qYfPOiObdqUu23Z4mo2jmfPHrf5Np34qlbNdShNSHCbN7CpUQNq1nTlqFLFDX0VKe+ys90X6eHD\n7kvUe+t7v7Bb360oxwpKyypsRqUgSUvLXUYA3Gg07+dPcYKKsAworLXrgAJbha212cCTnq2gfMuA\n3gErHLkTHvlLTg7ko0hFV9z3UaVKbohps2Z50/ftc4uabd3qPiS8c2Bs3+4+1AriDTjWrz9+nogI\nqFrVBRfVqrn7vluVKq7/R3x83vsapXJiycoq2pe2d/PdL8o5xzvf/4tcjuVbe1mlivtfhuLXqodl\nQFHe+U945NW/f/DLIuErUO+jKlWgeXO3+crOhvR0F1zs3Om2HTty7+/e7fIUJjs7N/AojpgY14fD\nu1Wq5PqG+N7Gxrr7sbG5W0xM7q13i4pyzTMxMe42Kip3q6gdUrOz3Ze0dzt6NO997+a/763qzi/N\ntyq8sCr04/3qPt6v/vLya7wspaW5L+f9+/N2oi5IdHTJtqiovO933/+D4+U/XtqwYe79FBnp9r3/\nM8WtVVdAUQYKm/BIpCjK+n20aNGxI5EuuCD3eFYW/PGHm5QrPd0FGH/84Tbv/YwM9+FZEt5fkhll\nvGJOZKT74PTeRkTk7kdEHHvru8Gx94vCG4hlZ+cNyrz7hW1ZWXkDBv/gwf+6UnTeL1Pvl7H31v9+\nfnn8j/umrVoFn3zi5onxvp8iI2HgQOjUKf9zy0vA27RpYGrVFVCUkaJOeCRSkLJ6HxVlJFJkZG7f\niYIcOeJGoWRkuFqKvXvdtm+f2/cumOZ7e+BA6b8Qi/pr0PslfKIoya/kYIiIyPsl7N1896OjXfC8\nfLl779Sq5UY8tWx5bD7vbWxswV/+/rdl9QU+e7br1Ozvxx/h/PPL5jEDJVC1oQooRE5AgRyJFB3t\nOmjWrFn0c7Kz3fTjBw7kbocOuY6lvreZmXlvvbUav/3mvngiItyXZlYWrF3rmnfq1MlblV8S5fVL\n2Z/3V7C39iUtzXWwjYhwTUVZWW4E0EknuefgbQbybxby3/etSi9KlXtRfsEX5de4N9CtV89t4Mrf\nt2/5/4EWzp3xA1UbqoBC5AQU6g8/7xdeXFzxAhGvkSPd0vH+GjSA4cNz971NBf79C/ybEry3AEuW\nwNtvu1/FvtcZONAtP3+851NQun/zie/mbWqB4zfDFNQ84/93qVbt2HLUrw8PPZR/GcuTcB5yH+6d\n8QNRG6qAQuQEFO4ffkUNiLz9JYozomThQlfT4S8cqq5DHSiWVjiXX53xFVCInJCC8eFXltPPl2VA\nFM5fauEeKIZz+dUZXwGFyAmprD/8ynr6+bIMiML5Sy3cfyWHe/lP9M74CihETlBl+eFX1m3hZRkQ\nhfOXWrj/Sg738p/oFFCISMAFo9mgrAKicP9SC/dfyeFe/hOZAgoRCbhwbjYAfamJlISW9BGRgEtN\nzT89HJoNRKRkVENRclEAW7duDXU5RMqdevVg0CCYNw+2bXMTK/Xq5dI3bgx16USkJHy+7/IdiB2R\nrQnhS8QY0x2YH+pyiIiIBFkPa+3X/omqoSi5hUAPYAtQwgl+RUREwkYUUA/3/XcM1VCIiIhIqalT\npoiIiJSaAgoREREpNQUUIiIiUmoKKERERKTUNMqjDBhjWgNjgC7AbmAC8Ji1NmxHgxhjLgX+DHQC\nagAWeMZa+65Pni+BXvmcXtlaezAY5QwEY8y1wOv5HLrZWjvOkycCGAbcDNTB9Xq+3Vr7U7DKGQgF\nvGYAXa213xlj1gGN/Y5ts9YmlWHRSs0Y0wK4D/d/eCow31p7ll+eIr2O5f1/urDnaoypB9wN9AWa\nA+nAF8Awa+1mn3xnAXPzeYjR1toHyqr8xVHE13UdRXjPVoDX9Szyf70A/met7efJdy2FfKYFggKK\nADPGJACzgWXAINw/77O42qCHQ1i00robWAvcBewAzgPeMcbUsdaO8ck3F3jQ79xDwSliwPUGDvjs\nr/G5/wAwHPfPvgL395ltjGljrQ2n2c5uAar7pY0EOpB3aNg7uA9er8wyLlcgnIp7n34PxBwnT6Gv\nY5j8Txf2XDsBf8J9YS4ATgJGAN96nutev/xXkvf9ns9E6iFTlNcVCnnPVpDXdQku2PDVCJgM5LdE\nX0GfaaWmgCLwbgIqAxdZazOAWcaY6sAIY8zTnrRwNNBau8Nn/wtjTDLuA9j3n3aXtfb74BatzCzM\n54MWY0wl3BfRU9basZ6074B1wFDKz4dRoay1y3z3jTGxwOnAZGvtEZ9DW8LwdZ1mrf0YwBjzAa4G\nIkcxXsdw+J8u8LkCXwMtfV9TY8wSXE3jxcBEv/xLrbW/lGF5S6Ow5+pV2Hs27F9XTxnzPEdjTA8g\nC3g/n+vl+5kWKOpDEXipwEy/N+N7uDfu8aqWyz2/YMLrRyBMlnsKqK64X/U5/7DW2n3ANNzrH876\nAwnAu4VlLO+stVmFZCnq61ju/6cLe67W2t1+ASLW2pXAfsLsf7gIr2tRhf3rehxXAPN8m7KCRQFF\n4LXEVZ3msNb+jvvHbRmSEpWdLsBKv7S+xpj9nm2mMea0UBQsQFYbY44YY6wx5kaf9Ja42VFX+eVf\nTvi/xoOBjRw7rfz1xphMY8wfxpgPjDH+7dPhqKivY4X8n/b8b8Zz7P8wuBrIo8aYdcaYh40x+a7d\nUM4V9p6tcK+rMeYUXHPl8X4QHO8zLSAUUAReAq5zj790z7EKwRjTB7gQ1+boNQ+4A+gH/A3Xljff\nGNMk6AUsnS24dvU/AwNxVYrjjDF3eY4nAHvz6biVDsR7mg3CjjEmHrgAeN9a6zuF7se4vhZ9yO0g\nNt8YUyP4pQyoor6OFe5/2hgTCbyAC6Y+8Tn0BzAKuBb3f/wR8BjwryAXsbSK8p6tcK8r7gfBYeBD\nv/TCPtMCQn0opNg8AcI7wMfW2je86dbaR32yzTfGzMb9ArjTs4UFa+1MYKZP0nRPe/vDxpgXQlSs\nYBgIVMHv14219g6f3fnGmG+Bn4DrgOeDVzwJoKdwX7K9rLWHvYnW2h9xTZles40xh4C7jTGPH6fp\ns9w5gd+zg3GjO3b5Jhb2mRaoZiTVUAReOm5Ypb8Ez7GwZoyphes9vB7XE/y4PL3kvwE6BqFoZe0D\noBbQBPc6Vs2nGjgB2G+tDYcREPkZDPxmrV1UUCZPZz1L+L+uRX0dK9T/tDHmFtyv9mustQuKcMoH\nuB+fYdt8eZz3bEV7XdsBrSh6/yffz7SAUEAReCvwa38zxjTEtVWuyPeMMOGpEv8UiAXOt9buL8Jp\n2Z4t3GX73K7ArbrXwi/PMW2y4cJTFZxK0T+MKsLrWtTXscL8TxtjLsaNyrrfWju5iKdl+92GK//3\nbIV5XT0G44aEflzE/AF/XRVQBN50oJ8xpppP2uW4F3peaIpUesaYaGAKcDLQ31qbVoRzkoDuwOIy\nLl4wXIKbf2M98C2QAVzqPegJtgaS/9jvcPAnII4iBBTGmDa4D+Jwf12L+jpWiP9pzyRIbwNjrLXP\nFOPUS4AjwNKyKFcwHOc9WyFeVx+DccNMizos1PczLSDUhyLwxgG3A1ONMaOBZrgJZP5VTsY1l9RL\nuAlW7gBqG2Nq+xz7ETC4dtkpuDdoI9wMhFmEWZulMeZD4AfcB2gU7kPmctwMilnAQWPMKGC4MSad\n3AmRIsk7J0c4GQz8bK1d7ptojBkAXIWrmdqM+1B+GPgdeCPIZSwWT3Bwnme3PlDdGHOJZ/9za+3+\nIr6O5f5/urDnips18iPcc5xsjDnT5/Tt1trVnuu8DGzHTWqW6bnmUOB5a+3OMn8iRVCE53o2RXvP\nhv3r6q0l9ryeTXATD+Z3ncI+0wJCAUWAWWvTPSMgxuLGs+8GnsO9UcNZX89tfp0SmwI7gQhcUFEb\n2AN8CVzoGYoVTizwF6Ah7jktA6621r7lk2cU7otnGO75LgLOtdZuC3JZS80YUwfXG354Poc3AIm4\noLAm7nWeATxYXj50C5CIC3B9efeb4iawKvR1DJP/6cKe6xm4/gLtcDUzvibiRnWAGzJ7A+6LKRb4\nDbiH/P/vQ6Ww51qk92wFeV3Xee4Pxo3QOV4NaVE+00otIjs73JvFREREJNTUh0JERERKTQGFiIiI\nlJoCChERESk1BRQiIiJSagooREREpNQUUIiIiEipKaAQERGRUlNAISIiIqWmgEJERERKTQGFiIiI\nlJoCChERESk1BRQiIiJSagooREREpNQUUIiIiEipKaAQERGRUlNAISIiIqWmgEJERERKTQGFiIiI\nlFp0qAsQrowxcUAKsAU4GuLiiIiIlLUooB6w0Fp7yP+gAoqSSwHmh7oQIiIiQdYD+No/UQFFyW0B\nePvtt0lKSgp1WURERMrU1q1bufLKK8Hz/edPAUXJHQVISkqiQYMGoS7LCetI1hHS9qWRcSgjzxYV\nEUXdKnVJrJJIYpVEqsVWIyIiItTFFRGpCPJt5ldAIWHnSNYRlm9fzqLNi/hp608cPHKw0HPiouNo\nUasFKckptE9qT+WYykEoqYjIiUMBhYSNdbvXMW/dPH7a+hP7D+8v1rmHjhzi17Rf+TXtV6Ijo2l7\nUltSklNol9SO6Ej9G4iIlJY+SaVcy87OZtWuVXy+6nOWb1+eb56EygnUia9DjbgaVIurRvW46hw+\nepi0fWls37+dbXu35anFOJJ1hB+3/MiPW36kdnxtzj/lfM5scCaRERpFLSJSUgoopFzKzs7m1+2/\n8vmqz1m9a/Uxx2vH1+b05NPpVK8TjWo0KrB/RHZ2NrsO7GLR5kUs3LyQDX9syDm2c/9OJv40kZm/\nzWRQy0F0SOqgvhYiIiWggELKFW8gMc1OY93udXmORUZEklI/hd5Ne9O4RuMif/FHRERQO742/Vr0\no1+Lfmzdu5UfNv3AvHXz2Ju5F4Cte7fyyqJXaFyzMUPaDqFJzSYBfmYiIhWbAgopF7Kzs1m2fRnT\nVk5jbfraPMeiIqPo2rAr/Vv0p058nVI/VlLVJC4wF9C3eV/mrJnD/1b/L6dJZP3u9Yz+ejT9W/Rn\nwCkD1L9CRKSI9GkpIZV5NJNFmxcxb928Y2okoiOj6dm4J32b9yWhckLAH7tSdCUGnDKAs5qcxczV\nM/li7RccPnqYrOwsPl/1OUu3LeXa9tfSsEbDgD+2iEhFo4BCQmJjxkbmr5/Pgk0LOHD4QJ5j0ZHR\n9Gjcg/4t+lOzUs0yL0uV2Cpc1OoiejbuycSfJrJy58qcMv5j/j8YaAbSv0V/ddoUESmAAgoJit0H\nd7Nq5yrsTsvKnSvZtnfbMXmiI6Pp3qg7qSenBiWQ8Fcnvg53d7mbL9Z+wX9X/DentuLjFR/z267f\nuKHjDcTHxAe9XCIi4X7AKpkAACAASURBVEABhZSJfZn7sDstK3asYMWOFfkGEF6JVRLp0bgHXRp0\noVpctSCW8lgRERH0adaHNolteOOnN1iTvgaAX9N+5R/z/8EtKbeQXC05pGUUESmPFFBIwOw+uJuv\n1n/FL2m/8Psfv5OdnX3cvNGR0XSo14EejXpwSu1Tyt1QzZOqnsR93e7jE/sJ01dNB2D7vu2M+noU\n17S7hk7JnUJcQhGR8kWNwlJqG/7YwGs/vsaw2cP4bOVnrN+9/phgIjoymlNqn8JAM5B7ut7D8/2f\n54aON2DqmHIXTHhFRkRyYcsLufH0G4mLjgPcjJv/WfwfPlrxUYEBk4iUL2vXrmXMmDFkZGQE5HpT\np07FGMO+ffsCcr3i2LhxI8YY5s6dm5PWu3dvRo8eHfSy+FINhZTYih0rmL5qOit2rDjmWEREBE1q\nNqFlnZa0qtOKZgnNiImKCUEpS69jvY4kVU3ipYUvsX3fdgCmr5rOjv07uLb9tRpaKhIG1q1bx9ix\nY/nTn/5E9erVS329s846i8mTJ1O5cvlYF2js2LHUrBn8vme+9EkoxbZ933amLJvCz1t/PubYybVP\n5uwmZ9OqbqsK1YExuVoyD/Z4kFeXvMovab8AsHDTQv44+Ac3p9xcoZ6rSKAcPXqUo0ePEhsbG+qi\nBFytWrWoVatWqIuRo3Xr1qEugpo8pOgOHjnIf5f/lxFfjsgTTERGRHJ68ukM6zGMe7veS6fkThXy\nCzY+Jp5bO99Krya9ctJW7lzJ0988zc79O0NYMpHy4YEHHuCiiy5i9uzZDBgwgNNOO42lS5cCsHnz\nZu666y46d+5Mu3btuP7661mzZk3Oud5q/M8++4xhw4bRsWNHevbsyccffwzA+PHj6d69O2eeeSb/\n/Oc/ycrKyvPY3333HZdeeilt27ala9eujBgxIqc5YsGCBdx0000A9OnTB2MMvXv3zjm3sLLlx7/J\nw1v+zz//nEceeYROnTrRs2dP/v3/7N13fFRV2sDx36QTSgq9Q0g4oUhHepOigChYVuwFGzZWVpRV\n18XXd1UQMYrtXdS1rcAqroKKSJfekZpDCS0QSkISAunJvH/cyTAZQjKTTHIzyfP9fPIJc++5N88w\nmeTJKc95771CsZ4+fZpJkybRp08fOnXqxLBhw4iJibGfv/fee3nmmWcKfa1NmzahlOLAgQNXjcd5\nyKPgtVi3bh1jxoyhS5cu3HnnnRw8eLDY51UW0kMhSmS1Wtl0chPf7/+e1MzUQuf6Nu/LjW1vpG5w\nXZOiq1g+Fh/u7Hgn4TXC+e/+/wKQkJbA9HXTefrap6UIlqj2Tp48yVtvvcUTTzxB/fr1adasGSkp\nKdx1112EhoYybdo0atSowT//+U8efPBBlixZQlBQkP36mTNnMmbMGGbPns2CBQuYOnUq+/fv59Sp\nU7z++uvs3buXmJgY2rdvz+jRowE4ePAgjzzyCH379mX27NkkJCTw9ttvc+LECT799FM6dOjACy+8\nwPTp03n//fepX7++vdfEndhcMXPmTEaMGMF7773Hhg0b+OCDD4iMjGTUqFEAPP/882RlZfHaa69R\nu3ZtTpw4UWLyUloJCQnMmDGDiRMnEhgYyIwZM3j22WdZtGhRucxdk4RCFCsuOY75e+ZfUcUyIiyC\nOzreUS33vLBYLNwQeQPhNcL5fOfn5OXnkZqZysz1M3ny2idpW7et2SGKKmLp4aUsOrCIrNysCv/a\ngX6BjGk7huFthrt1XUpKCp9//jnt2rWzH4uJiSEjI4MffvjBPs7frVs3rrvuOhYsWMDdd99tb9u7\nd28mT54MQOfOnVmyZAkrVqxg8eLF+Pr6MnDgQJYvX87SpUvtCcWHH35IkyZN+Oijj/D19QUgJCSE\nZ599lh07dtC1a1dat24NQLt27WjWrJn9633++ecux+aKHj16MHXqVAD69evHmjVrWLp0qT2h2L17\nN2+//ba9h6RXr15u3d8dqampzJ07l1atWgHGH4dPPvkkcXFxtGnTxuNfT4Y8RJGSM5L5bMdnTF87\nvVAyERIUwkNdH+L5fs9Xy2TC0bVNr2VSr0nU8DcmZWXmZvLuxneLnFsiRGksjVtqSjIBxoqmpXFL\n3b6uYcOGhZIJMIYj+vbtS61atcjNzSU3N5eaNWvSoUMH9uzZU6ht79697f+uVasWYWFh9OzZ054o\nALRs2ZIzZy7Xttm1axfDhg0r1Ob666/Hz8+Pbdu2FRuvO7G5ol+/foUeR0ZGcvr0afvj6OhoZs2a\nxffff8+pU6fcvr87mjZtak8mAHsS4fh/50nSQyEKsVqtrDm+hm/3fkt2Xrb9uJ+PH8PbDGdk5Ej7\nEkoBqp7iub7P8e7Gd7mQdYHc/Fw+2voR93W+j77N+5odnvBywyOGm9pDMTzCvd4JgHr1rtzALzk5\nmZ07d/LLL79cca5Pnz6FHjuvwAgICLjimL+/P1lZl/9Pzp07d8XX9fX1JTQ0lNTUwsO0ZYnNFSXF\nGhMTwzvvvMMbb7zBhQsXiI6OZurUqaX6WiWpXbtwoUB/f2OlnWM8niQJhbBLz0nnyz++ZEfCjkLH\nuzXuxq3tb/XITp9VUbM6zXih/wvEbIzh3KVzWK1Wvtj5BRezLzKizQizwxNebHib4W4POVRGISEh\nXHfddTzxxBNXnKtZs2aZ71+/fn2SkgpPjM7LyyMlJYWQkBBTY3PWsGFD3nzzTfLz89m1axezZ89m\n4sSJrFy5krCwMAICAsjOzi50jadqZ5Q3SSgEAIfPH+aT7Z9wPuO8/ViT2k0Y33E8qp4yMTLvUC+4\nHs/3e553N75L/IV4ABbsW0BaVhq3tLul0hbvEqIi9OnTh8WLFxMVFeX2JEdXdO7cmWXLljF58mT7\nsMdvv/1Gbm4u3bsbVW2v9td5ecd2NT4+PnTp0oWnnnqK8ePHc+rUKcLCwmjUqBFbt24t1Hbt2rUV\nFldZSEJRzVmtVn499CsL9ULyrZeXNg1uNZjb2t/mtcWozFAnsA7P9X2OD7Z8wMEkY2nWb4d/42L2\nRe7tfK/sViqqrQceeICFCxdy//33c88999CwYUMSExPZsmUL3bt358YbbyzT/SdOnMi4ceN48skn\nufPOOzl9+jQzZ86kf//+dO3aFcA+KXP+/PmMHj2aoKAglFLlHpujtLQ0JkyYwM0330zr1q3Jzs7m\ns88+o379+vb5DcOHD+e7777j9ddfZ/DgwWzatIk1a9Z4LIbyJAlFNffzwZ9ZpBfZHwf7B3Nf5/vo\n2ririVF5rxr+NZjUaxJzts+xT85cf2I9F7Mv8mj3RyVBE9VSeHg48+fPJyYmxj53oEGDBnTr1g2l\nyt4DGhUVxZw5c5g1axZPPfUUtWrVYvTo0UyZMsXepmnTprzwwgt89dVXfP311zRq1IgVK1aUe2yO\nAgMDadu2LV9++SWnT58mKCiILl268Omnn9p7RwYPHszkyZP55ptv+Pbbbxk6dCgvvfRSkUMylY1F\n9iMoHaVUK+DI8uXLCy1B8iZbTm7hk+2f2B9HhkcyodsEwmtUnupv3irfms/Xu75m3fF19mNRdaN4\noucTVbLolxCi6ouPj2fo0KEArbXWR53PSx9sNRWXHMfnOz+3P46uF83kPpMlmfAQH4sP93a6l+sj\nr7cfO5h0kLfXv01KZoqJkQkhRPkwdchDKdUemA30AVKAT4BXtdZ5JVwXAsQAYzGSop+AZ7TWSU7t\nbgb+F4gC4mz3nl/E/W4B/gp0BNKBLcCtWuuK30auAiSlJ/Hhlg/Jzc8FoFGtRjzW4zF8fXxLuFK4\nw2KxcEu7W6gdUJvv9n0HQPyFeN5c+yZPX/s0Tes0NTlCIYTwHNN6KJRSYcAywArcDPwP8BfgVRcu\n/w8wGHgYeADoCfzgdP/+wAJgJTAS+BmYq5Qa4dTuYeAbYLGt3cPAQaro/JLM3Eze3/w+aVlpANQM\nqMlT1z4l3fDlaHib4TzY9UH7pMzkjGRmrJvB/nP7TY5MCCE8x8xfmo8DNYBbtNYXgKVKqTrANKXU\nDNuxKyil+gAjgEFa699tx04Cm5RSw7TWy2xN/wb8rrUu2GVlpVKqA/AK8JvtunrAO8DTWus5Dl/m\nvx59ppWE1Wrl0+2fcirNqM7m6+PLxB4TqV+zvsmRVX29m/UmJDCEj7d+TGZuJpm5mby36T3u7Xyv\nFMASQlQJZs6hGAkscUoc5mEkGYOKvsR+3ZmCZAJAa70ZOGI7h1IqEBiC0ZPhaB7QxzZkAvAn2+cv\nSvskvMmuM7vYdWaX/fF9ne8jqm6UiRFVL+3qt2NKvymEBhn7BeRb8/li5xf8GPsjMjlaCOHtzEwo\nooFYxwNa6+MYcxii3bnOZr/DdW0A/yLa7cd4zgW7N/UCNDBBKRWvlMpRSm1SSlW5Pxnzrfn8N/Zy\nx8ugVoPo3ax3MVeI8tCsTjOm9p9KszqXVwb9cvAXPtzyIZm5mSZGJoQQZWNmQhGGMRHTWbLtXFmu\nK/js3C7Z6XwjQAEvAy8AY4BLwK9KqYbFBe9tNpzYQEJaAgBBfkGMaTvG5Iiqr7AaYUzpN4UODTrY\nj+06s4s31rzBmYvls2mPEEKUt+q+bNQC1AImaK3/rbX+FWPlSB7wlKmReVB2XjYL9UL74+sjr6d2\nYO1irhDlLcgviKeufarQXh+nL57m9TWvFxqWEkIIb2FmQpEMFLVrSxiXexJKe13BZ+d2YU7nkzFW\nmawqaGCb07ENaF9MDF5l5ZGV9toHdQLrMLT1UJMjEmDUqri1/a083O1hewXNzNxMPtj8wRWl0IUQ\norIzM6GIxWmuhFKqORBM0XMkrnqdjePcisNAThHtooF84IDt8X6MXgrnnZsstnZe71L2JRYfWmx/\nPEaNke3HK5meTXvyQr8XqBtc137s5wM/E7MxhgtZ3rHLoBBCmJlQLAauV0o59r3fAWQAq0u4rpGt\nzgQASqkeQITtHFrrLIz6E7c7XXsHsEFrnWp7/JPt8xCHe4UA3YE/3H1CldGvh34lIycDgAY1G9Cv\neT+TIxJFaR7SnBcHvEh0vcs5sE7UvLb6NQ4kHSjmSiGEqBzMTCg+BrKA75VSw5RSjwLTgFmOS0mV\nUoeUUp8WPNZab8CoI/GlUuoWpdRY4N/AWocaFACvAYOVUjFKqcFKqRnAKIwCWgX32gr8CHyqlLpf\nKTUaWIjRu/FB+TztinM+4zwrjqywPx7XbpxUw6zEagXUYlLvSdzY9kb7ducXsi4wa8MsFh9cLEtL\nhRCVmmkJhdY6GRgK+AKLMCpkvgP83ampn62NozswejE+A77EmPMwzun+a4HbgGHAEuAm4C6t9W9O\n97oHo8rmLOA7jGTiOlt8Xu2nAz/Zy2u3Cm1F10ayg2hl52PxYYwaw6Rek+wTZ61WKz/E/sDszbPt\nFU6FEKKykd1GS6my7zaalpXG1GVT7QnF5D6TUfU8uxWvKF8pmSnM2TaHQ+cP2Y+FBoXycLeHpSCZ\nEKLCletuo0opi1JqiFJqpNNcCGGyNcfX2JOJ1mGtJZnwQqFBoUzuM5kbIm+wH0vJTOHtDW/zy8Ff\nZAhECFGpuJxQKKX+oZRa5XR4McYGXz8Du5VSbTwYmyilvPw8Vh+9PK91SKshxbQWlZmvjy/j2o3j\n6V5PUyugFmAMgfwY+yPvbnpXhkCEEJWGOz0Ut2Js6w2AbTLkCGAqcIPtXtM8GZwonR2ndxSqO9G9\nSXeTIxJl1bFBR/426G+Fhjr2n9vPP9b8g7jkOBMjE0IIgzsJRVOMbb0LjAP2aq3fsk10/AhjS3Fh\nspVHVtr/PbDlQPx8quRO7NVOwRDIyKiR9mPJGcm8te4tVhxZIUMgQghTuZNQ5FJ4tcUw4FeHx2eB\nep4ISpTeidQT9kl8PhYfBrQcYHJEwpN8LD6MjR7L072eJtg/GDA2fpu/Zz6fbP9ENhgTQpjGnYRi\nD3ALgFJqFMbGWr84nG8FJHosMlEqK49e7p3o3qS7fatsUbV0bNCRlwe+TMvQlvZjW09tZfra6SSm\ny9tQCFHx3Eko/gcYoJRKxqjbsE5rvdLh/Cgc5liIincp+xKbT262P5bJmFVb3eC6PN/veQa2HGg/\ndirtFK+veR2dqE2MTAhRHbmcUGitlwLdMCZePoIxIRMApVQ48Dsw28PxCTesPb6WnLwcAFqEtCAi\nLMLkiER58/Px4+5Od/Ng1wftc2UuZV8iZmMMq46uknkVQogK4/JsPaVUC+CI1vpd53Na6/NKqZeQ\nORSmybfms/qYw1LR1kPs5ZtF1de7WW8a1mzIR1s/IjUzlXxrPnN3zyX+Qjx3drxTSq4LIcqdO0Me\nR3Aqb+1kjK2NMMHuM7tJSk8CjD0hejbpaXJEoqK1DmvNiwNeLDSvYs2xNby/+X2ZrCmEKHfuJBQl\n/bnrTxXZ8tsbrT+x3v7vAS0H4O/rb2I0wiyhQaFM6TuFa5teaz+279w+Zm2YJVuhCyHKVbFDHkqp\nOoDjMoG6tqEPZ6HAeCDBg7EJF6XnpLPn7B77477N+5oYjTCbv68/D3V9iAY1G/DTgZ8AOJZyjBnr\nZvBMr2doULOByREKIaqiknoonsUYxjgCWIEYh8eOHzswVnl4/Zbf3mhHwg77vh0tQ1vKLwyBxWJh\njBrDPZ3usc+lOXfpHDPWzeBYyjGToxNCVEUlTcr8FUjBGO6YBXyNsVW4IytwCdimtd7p8QhFibac\nurxa17GrW4gBLQdQJ7AOc7bPIScvh7SsNN7e8DZP9HyC6HrRZocnhKhCik0otNabgE0ASqkQ4Hut\n9e6KCEy45kLWBWITYwHjr9IeTXqYHJGobDo36syzvZ/lgy0fcCn7Elm5WczeNJvHezzONQ2vMTs8\nIUQV4U4dilclmah8tp7aaq81EBUeJZUxRZHahLdhSt8p9u+P3PxcPtzyIdtOOXc4CiFE6Vy1h0Ip\n9QrGcMY/tNb5tsclsWqtX/NYdKJEjpUxZbhDFKdx7cZM6TeFdza8Q2J6IvnWfOZsn0NWXpZM5BVC\nlFlxQx7TMBKK6UA2rm1NbgUkoaggiemJHEk2Sn/4WHzo1ribyRGJyq5ecD17UnH64mmsVitf7PyC\n7LxsBrcabHZ4QggvdtWEQmvtU9xjYb4tJy9PxuzYoCM1A2qaGI3wFqFBoTzX9zne3fQuJ1JPADB3\n91xy83MZFjHM5OiEEN5KkgQv5jjc0bOpVMYUrqsdWJvJfSYX2u/l273fsuTQEhOjEkJ4M5f38nCk\nlKoFhFFE9Uyt9fGyBiVKdvLCSU6lnQKMQkadG3Y2OSLhbYL9g5nUexKzN83m0PlDAHy//3vyrHmM\nihplcnRCCG/jzuZgQcDfgQlA3WKayi5EFcCxd6JLoy4E+gWaGI3wVkF+QTzT6xne3/w+B5IOAPBj\n7I/k5edxY9sbZYM5IYTL3Omh+BC4H/gBWAMkl0tEokRWq7VQMSvZCEyURaBfIE/3epoPt3zI/nP7\nAfjpwE/kWfO4Wd0sSYUQwiXuJBS3AJ9orR8rr2CEa46mHLXvLBrsH0yHBh1Mjkh4uwDfAJ7s+SQf\nbf2IvWf3ArD44GLyrfmMix4nSYUQokTuTsrcXi5RCLfsOL3D/u+ujbvi51OqqTBCFOLv688TPZ+g\nU8NO9mNLDi1hwf4F9uJpQghxNe4kFAuB68orEOEaq9XKztOXt0zp0qiLidGIqsbPx4/HejxG50aX\nJ/kuPbyUb/d9K0mFEKJY7vxp+wqwQCn1IfB/wHEgz7mR1vqCh2ITRTh98TRnLp4BjLHvdvXamRyR\nqGr8fPx4tPujfLL9E3YkGL1hy+OWk5efx/iO42X4QwhRJHd6KOKArsDjGEMfiRgTM50/RDly7J3o\nUL8D/r7+JkYjqio/Hz8e6fYI3Zt0tx9bdXQV/979b+mpEEIUyZ0eiv/BKK0tTCTDHaKi+Pr48nC3\nh/Gx+Nirsq45toacvBzu73I/PhapiyeEuMzlhEJrPa0c4xAuSMlM4WjKUcDYu0O2nhblzcfiw0Nd\nH8LX4svG+I0AbIzfSE5+DhO6TsDXR8rOCCEM8ieGF3HsnVD1FMH+wSZGI6oLH4sPD3R5gAEtB9iP\nbTu1jY+3fkxOXo6JkQkhKhN3KmXK9uUmk+EOYRaLxcLd19yNv48/K46sAGDXmV18sOUDJvaYKJVa\nhRBuzaGYVsw5K8a+HrJ9eTlJz0lHJ2r7Y9m7Q1Q0i8XCnzr8iQDfAH499CsA+8/tJ2ZjDE9d+5Ts\nditENefOHIorhkeUUj5AS+BJYCAw0nOhCUe7z+wm35oPQKvQVoTVCDM5IlEdWSwWxkaPJcA3gIV6\nIQBxyXHMXD+TP/f+MyFBISZHKIQwS5lKLGqt84EjwHNKqX8Ds4G7XL1eKdXedk0fIAX4BHhVa31F\nfQun60KAGGAsxjyQn4BntNZJTu1uBv4XiMJY9vqq1nr+Ve7pA2wGugNjtNY/ufo8KoIMd4jKwmKx\nMLrtaIL9g5m3Zx4Ap9JOMWPdDP7c+8/Ur1nf5AiFEGbw5KTM3wGX9zxWSoUByzCGSW7GWJb6F+BV\nFy7/DzAYeBh4AOiJsWmZ4/37AwuAlRg9Jz8Dc5VSI65yz4eBZq7GX5Fy8nLYe26v/bEkFKIyGNJ6\nCA91fci+fDQxPZEZ62YQfyHe5MiEEGbwZELRA8h3o/3jQA3gFq31Uq31xxjJxGSlVJ2rXaSU6gOM\nAO7XWi/QWv8XuAfor5Qa5tD0b8DvWutntNYrtdZTgF8xKn463zMM+AfwkhvxV5jYxFiycrMAaFCz\nAY1qNTI5IiEMvZr1YmLPifYCaxeyLjBz/Uz7VuhCiOrDnVUe913lVCjG/IlbMIYsXDUSWOJUqnse\nMB0YBCwq5rozWuvfCw5orTcrpY7Yzi1TSgUCQ4BnnK6dB/xLKRWitU51OP4asA5Y7kb8FcZ5MzAp\nfSwqk04NOzGp1yTe3/w+mbmZZORk8O7Gd5nQbQLdGnczOzwhRAVxp4fi86t8xGAkFG9y5S/w4kQD\nsY4HtNbHgXTbOZevs9nvcF0bwL+IdvsxnnPbggNKqU7AQ8BzbsReYaxWK7vP7LY/luEOURlF1Y1i\nSr8p1Ak0Ohdz83P557Z/suroKnMDE0JUGHcmZbYu4pgVSNZap5Xia4dhTMR0lmw7V5rrIhzaUES7\nZKfzYEwKfV9rfUgp1aq4gM1wKecSF7KMTpxAv0Bahxb1MghhvmZ1mjG1/1Te3fQuZy6ewWq1Mnf3\nXFIzU7lJ3SQ9a0JUce4sGz1WnoGYQSk1HlDAGLNjuZqzl87a/92gZgP5oSwqtbrBdZnSdwrvb37f\nXib+l4O/kJKZwj2d7pFS3UJUYWaW3k4Gilq0Hkbxu5a6cl3BZ+d2BT0TyUopf+AtjDkbPkqpUKBg\nMmhNpVTt4sOvGAVblYORUAhR2dUOrM3kPpPp2KCj/dj6E+v5YMsH9snFQoiqx8yEIhanuRJKqeZA\nMEXPkbjqdTaOcysOAzlFtIvGWIlyAKiJsUx0Fpe3Xv/D1m4esINKwLGHomHNhiZGIoTrAv0CeaLn\nE/Rt3td+bO/Zvby94W37EJ4QomoxM6FYDFzv1BNwB5ABrC7huka2OhMAKKV6YMyfWAygtc7CqD9x\nu9O1dwAbbCs8LmKsBHH8uNPW7kXg7tI9Lc9yHvIQwlv4+vhyX+f7GN12tP3YsZRjTF87vdD3tRCi\naihTpcwy+hhjVcj3SqnpGAnBNGCW41JSpdQhYLXWegKA1nqDUuo34Eul1HMYPQ7TgbVa62UO938N\nWKWUisEoejXK9nGD7T65wCrHgBwmZe7WWm/y6LMtpTOXZMhDeC+LxcJN6iZCg0L5Zvc3WK1WEtMT\nmb52Ok9d+xStw2SSsRBVhWk9FFrrZGAo4ItRc+JV4B3g705N/WxtHN2B0YvxGfAlsA0Y53T/tcBt\nwDBgCXATcJfW+jePPpFyZLVapYdCVAkDWw5kYo/LBbAuZl9k1oZZ7Dm7x+TIhBCeYrFarS41VEq9\nCXyltd5bYuNqwNabcWT58uU0a1Y+FbtTM1N5funzAAT7BzPr+lmyykN4tbjkON7f/D6Xsi8B4GPx\n4d7O9xaaayGEqJzi4+MZOnQoQGut9VHn8+70UDwD7FJK7VRK/UUp1dRDMYqrkCWjoqqJCIvghX4v\nUDe4LgD51ny+2PkFvxz8BVf/uBFCVE7uJBQNgQnAWYw5C8eUUsuVUg9UliWWVY0Md4iqqGGthrzQ\n7wWa1bncs/dj7I/M3TOXfKs72wEJISoTlxMKrXWa1vpzrfUIjOWWUzDqNnwGnFFK/UcpNUYpZeZE\nzypFJmSKqiokKIQp/aYQXe/yyu7VR1fzyfZPyM3PNTEyIURplWpSptb6tNb6Ha11T4zaDouAWzFW\nU5xWSr2vlCpuPw7hgkI1KGpJDQpRtQT5BfF0r6fp2bSn/di2U9uYvWk2mbmZJkYmhCiNUq/yUEo1\nVkpNBuZi1HtIAf4JfAOMB3YrpR7xSJTVlFTJFFWdn48fE7pO4LrW19mPxSbGMmvDLNKySrNFkBDC\nLG4lFEqpEKXUBKXUCuA48AZwAmN5ZmOt9USt9TNAC+BnjKWgohSsVivn0s/ZH0tCIaoqi8XCnzr8\nibHRY+3HjqUcY8a6GSSlJ5kYmRDCHS4nFEqp/wKngTkY5bH/DDTRWo/VWn+vtc4uaKu1Tgf+AzTy\ncLzVRnJmMjl5OQDUCqhFsH+wyREJUX4sFgsjo0ZyT6d77KuZzl46y1vr3+L0xdMmRyeEcIU7Eyi7\nADMxalEccKH9Uoxy1qIUZP6EqI4GtBxArYBa9smZyRnJzFw/k0m9JtE8pLnZ4QkhiuFSD4VSKghj\n+GKRi8kEWutzWuvi9uQQxZAlo6K66tq4K0/3eppAv0AA0rLSeHvD2xw+f9jkyIQQxXEpodBaZwIf\nYfRSiAogEzJFdRZdL5o/9/6zfagvIyeDdza+w96zUqhXiMrKnUmZ+zDqT4gKINuWi+ouIiyCv/T9\nC3UC6wCQk5fDEVcRGwAAIABJREFUB1s+YHvCdpMjE0IUxZ2E4iVgolJqUHkFIy6TolZCQLM6zZjS\nbwrhNcIByMvP45/b/smGExtMjkwI4cydSZmPAueBFUqpg8ARIMOpjVVrfaungquu8q35nLskS0aF\nAOP7f0q/KcRsjOHMxTNYrVY+3/k5GbkZhepXCCHM5U4PRTcgAKP+RCBGhcyuRXyIMkpKT7LvaRAS\nFGKfnCZEdRVeI5zn+j5XaP+P+Xvm8/OBn2VTMSEqCZd7KLTWrcoxDuFA5k8IcaU6gXX4S9+/MHvT\nbOKS4wBYqBeSnpPObe1vk914hTBZqUtvi/IjS0aFKFqwfzB/7v1n2tVvZz+2LG4Zn+/8nLz8PBMj\nE0KUamdQ23blIRSRkGitj5c1qOpOJmQKcXWBfoE82fNJPtn+CTtP7wRgY/xGLmZf5NHuj8oQoRAm\ncXcvj4m2CZkpwDGMiZnOH6KMpIdCiOL5+/rzWI/H6N+iv/3YnrN7iNkYw6XsSyZGJkT15c5eHo8D\nHwCHgJcBCxADvImxx8cfwIRyiLHacSxqJWW3hSiaj8WHezrdw6ioUfZjcclxzFg3g/MZ502MTIjq\nyZ0eiqeBJVrrkRjblAP8rLV+CWgP1Abqeji+aic3P5ekDGOHRYvFQv3g+iZHJETlZbFYuDn6ZsZ3\nHG+flHn64mneWPMGR1OOmhucENWMOwlFG2CR7d85ts8BAFrrVOAT4AnPhVY9JaYn2pfBhQWF4e/r\nb3JEQlR+Q1oP4eFuD+PnY0wLu5B1gZnrZ7L11FaTIxOi+nAnoUjFNolTa30BSAcct/9LQ7YrLzOZ\nPyFE6fRo0oNJvSdRM6AmYJTqnrNtDj8d+ElqVQhRAdxJKPYAnR0eb8Qoxd1UKdUceAxwaSdScXWy\nbbkQpde2blum9p9a6L2zSC/i0x2fkp2XbWJkQlR97iQUXwMdlVIFa7L+DrTDqJx5FFAYkzVFGcgu\no0KUTYOaDZjaf2qhWhVbTm7hjTVvkJCWYGJkQlRtLicUWut/aa17aa2zbI/XAR2AycAkoJPW+ufy\nCbP6KJiQCciETCFKKdg/mKevfZpBrS7vZXgq7RSvr3ldNhYTopy4VNhKKRUE/AmI1VpvLjiutY4D\n3i2n2Kqli9kX7f8OCQoxMRIhvJuvjy93dryTFiEtmLdnHjl5OWTnZfP5zs+JTYzlrmvukiJYQniQ\nSz0UWutMjKWiXco3HHEh64L937UCapkYiRDez2Kx0L9Ff/7a/680qnV5zvjG+I38Y80/OJAk076E\n8BR35lDsBZqV2EqUmtVqJS0rzf64dkBtE6MRoupoWqcpLw54kT7N+9iPnbl4hrfXv82Xf3wp1TWF\n8AB3EoqXMFZ1DCqxpSiVrLwscvNzAaO0sHTHCuE5gX6BPNDlAR7o8gBBfkH24+uOr+OVla+wMX6j\nLC8Vogzc2RzsUeA8sMK2n8cRIMOpjVVrfaungqtuHHsn6gTWMTESIaquPs370K5+O+bvmc/2hO2A\nMXfpXzv+xZpjaxjXbhyR4ZEmRymE93EnoegGWDGWiQYC0eUSUTWWli3DHUJUhNCgUB7r8Ri7zuzi\nm93fkJyRDMCh84d4a91bXNPwGsZGj6VZHRnlFcJVLicUWutW5RiHoHAPhUzIFKL8dWrYCVVXsVAv\nZMWRFeRb8wHYfWY3e87uoWeTnoyKGkXj2o1NjlSIys/lhEIpNRDYr7U+d5Xz9YD2WuvfPRVcdePY\nQyFDHkJUjEC/QG7vcDtDWg9hoV7I5pObsVqtWK1WNp/czOaTm+nUsBPXR15Pm7A29k3IhBCFuTPk\nsRK4F/jmKueH2s75ljWo6kp6KIQwT73gejzU9SFGtBnBj7E/suvMLvu5XWd2sevMLiLCIhjRZgSd\nG3XGx+LOnHYhqj53EoqS0vJAIK8MsVR7heZQBMocCiHM0KxOM5689knikuP49dCv/HH6D/u5uOQ4\nPt76MeE1whnYciD9W/SX96oQNsUmFEqpFkArh0PRtqEPZ6EYm4Mdc+eLK6XaA7OBPkAKxhbor2qt\ni01MlFIhQAwwFmPp60/AM1rrJKd2NwP/C0QBcbZ7z3c43xNjy/UBQBPgBEYvy3RbMa8KJas8hKg8\nIsIieKLnEySkJbA0bimb4jfZl3WfzzjPD7E/8NOBn+jepDuDWw2mdWhrGQ4R1VpJPRQPYmwCZrV9\nvGT7cGYBcoFHXP3CSqkwYBmwD7gZaAO8jZEglLTJ2H+AtsDDQD4wHfgBIzEouH9/YAHwIfAMMAqY\nq5RK1lr/Zmt2h+3rTgcOAp2A12yfK3z5q2MPhQx5CFE5NK7dmPs638dN6iZWHV3FmmNr7CXyc/Nz\n2RS/iU3xm2hapykDWw7k2qbXEuwfbHLUQlS8khKKecBOjIThe4xegdVObazAJeAPrXWiG1/7caAG\ncIvW+gKwVClVB5imlJphO3YFpVQfYAQwqGACqFLqJLBJKTVMa73M1vRvwO9a62dsj1cqpToArwAF\nCcWbTjGvUkplAv+nlGqptXarx6WspEqmEJVXaFAoY6PHcmPbG9l2ahurjq4iLjnOfv7khZPM3T2X\n7/Z9R88mPRnUahAtQ1pKr4WoNopNKLTWGtAASqkHMX5BH/HQ1x4JLHFKHOZh9BYMAhYVc90Zx9Uk\nWuvNSqkjtnPLbFusD8HomXA0D/iXUipEa516lQRoh+1zE9wcwikrx43BZMhDiMrJz8ePXs160atZ\nL46lHGP1sdVsObmF7LxsAHLyclh/Yj3rT6ynRUgLBrUaRM8mPaXyrajy3Nm+/AsPJhNgFMaKdfoa\nx4F0ii+adcV1NvsdrmsD+BfRbj/Gc25bzP37YAyjHC6mjcdZrVbZGEwIL9MytCX3db6PGcNncOc1\nd15RCOt46nG++uMrnl/6PPP2zOPspbMmRSpE+btqD4VS6jOM4YxHtdZ5tsclsWqtJ7j4tcMwJmI6\nS7adK811EQ5tKKJdstP5QpRSjTDmb3ylta7Qd35Gboa9qE6QXxD+vv4V+eWFEGVQw78Gg1sNZlDL\nQRxJOcLvx35n66mt5OTlAJCZm8nKIytZdXQV1zS4hmERw2hbt60Mh4gqpbghj+sw/lL3wVgOeh1G\nglEcr91ZRykVgDHZ8yLwbEV/falBIYT3s1gsRIRFEBEWwe3tb2dD/AZWH11t75mwWq32mhbNQ5oz\nPGI4PZv2lJoWokq4akLhXGq7HEpvJwMhRRwP43JPwtWuq1/CdQWfne8f5nQeAKWUBfgS6AD001oX\n9/XLhVTJFKJqqRlQk2ERwxjaeiixibEsP7Kc3Wd228+fSD3BZzs+46cDPzEyaiS9m/WWxEJ4NXcK\nW3laLE5zJZRSzYFgip4j4XjdgCKOR2MsHQVj/kOO7dhqpzb5wAGna2Mwlq4O11oX97XLTaEVHlIo\nR4gqw2Kx0K5+O9rVb8eZi2dYfmQ560+stw+HnL10li92fsHPB35mVNQoejfrja+PFBwW3sftdFgp\nNUAp9bpS6hvbxxtXKXZVksXA9Uopx9+ed2Bsie68NNX5uka2OhMFMfXAmD+xGEBrnYVRKvx2p2vv\nADZorVMdrv0r8BRwj9Z6bSmeh0dIDQohqr6GtRpy1zV3MX3YdG5SNxWqV5GYnsiXf3zJtFXT2JGw\nA6vVa0eQRTXlzuZgtYC5GAWiLBSe4Pi8UupX4A6t9cWr3MLZxxjLOr9XSk3HSAimAbMcl5IqpQ4B\nqwsme2qtNyilfgO+VEo9x+XCVmsdalCAUaBqlVIqBqPnYpTt4waHe98FvA58DpxUSvV2uP7w1TZC\nKw9SJVOI6qNmQE1Gtx3N0IihrDiygmVxy7iUfQkweiw+3voxbcLbcHv722kd1trkaIVwjTs9FO9g\n/EKeBtTTWtfVWtcF6gGvYvyifsfVm9nmKQzF2Exske0e72BU5nTkx5Ubjt2B0YvxGcbch23AOKf7\nrwVuA4YBS4CbgLscqmSCUSAL4AFgg9PHaFefiydID4UQ1U+QXxCjokbx+tDXGRs9tlCPxeHzh3lz\n7ZvM2TaHpPSkYu4iROVgcbVbTSmVDHyjtX7yKuc/AsZrrYtb8lllKKVaAUeWL19Os2bNSmpeojnb\n5rD11FYAHur6EL2a9SrzPYUQ3uVS9iV+Pvgzq46uIi//8pZG/r7+jIoaxYg2I/DzMXPqm6jO4uPj\nGTp0KEBrrfVR5/Pu9FBYgb3FnN+DMfwgSkFWeQghagbU5E8d/sS0wdPo1rib/XhOXg4/xv7Iq6te\nZc/ZPSZGKMTVuZNQLABuVUpdcY1SyhdjM60FngqsupE6FEKIAg1qNuCxHo8xpd8Umoc0tx8/e+ks\nszfN5qMtH5GcUeGr24UoVnGVMjs5HfoX8BGwVin1f8Ah2/EojK3La2BMbhSl4NhDIctGhRAAkeGR\nvDjgRVYfXc2P+kcycjIA2Hl6J/sT9zMuehyDWg2S+hWiUihuMG4nV1a+LKgT29vhnGPt2DVcOYFS\nlMBqtRbaGEx6KIQQBXwsPgxpPYQeTXrw/f7vWX9iPQBZuVnM2zOPjfEbubfzvVfsIyJERSsuoXiw\nwqKo5i7lXLKvOQ/2D5ZJV0KIK9QOrM39Xe6nX4t+fL3raxLSEgA4mnKUf/z+D4a3Gc6YtmNkHyBh\nmuJKb39RkYFUZ1IlUwjhqsjwSF4e+DJLDi3hl4O/kJufS741nyWHlrAjYQf3db6PqLpRZocpqiGX\nBt6UUsFKqVxbVUnhYVKDQgjhDj8fP0a3Hc0rg16hbd229uNnL51l5vqZzN09l8zcTBMjFNWRSwmF\n1jodOIOxE6fwMKmSKYQojYa1GjK5z2Tu6XQPQX5B9uOrjq5i2qpp7D1b3Ep/ITzLnanBXwL3KKVk\ngM7DCq3wCJAhDyGE6ywWCwNaDmDa4Gl0anh5cV5yRjLvbXqPL3Z+QXpOuokRiurCndl/24AxwG6l\n1L+AoxgbeRWitV7omdCqD6lBIYQoq7AaYTzR8wm2ntrKvD3z7CvH1p9Yz95ze7n7mrvp3KizyVGK\nqsydhOI/Dv9+4yptrMiyUbdJlUwhhCdYLBZ6Nu1JdL1o5u2ZZy/nn5qZyodbPqRn056M7zhe/nAR\n5cKdhGJIuUVRzUkPhRDCk2oH1uaR7o/Qo0kPvtn9DReyjA2ct5zcQmxiLOM7jqd74+5YLJYS7iSE\n61xOKLTWq0tqo5QKKFs41ZNUyRRClIeujbvStm5bvt33LRtObACMP2DmbJvDlkZbuOuauwgJCjE5\nSlFVlLmCklLKAlwH3I2xhXi12G3Uk2SVhxCivNQMqMkDXR6gR5MefL3ra/seIDtP7+RA0gFu73A7\nfZr1kd4KUWalLgCvlOqhlJoFxAO/AXcAv3sqsOpE6lAIIcpbxwYdmTZ4GgNbDrQfS89J54udX/Du\npndJTE80MTpRFbjVQ6GUisToibgLiLQdXgT8E1ihtZZKKm7Kt+ZzKfsSYEyokoRCCFFegvyCuLvT\n3fRo0oMv//jSnkTsP7efaaumcZO6iWERw2SzMVEqJSYUSqmGwHiMRKI7kAJ8D8wA5gBfaq1/Kc8g\nqzLHTcGC/YPljSyEKHeqnuKVQa+wUC9k+ZHlWK1WcvJyWLBvAVtObuHezvfSIqSF2WEKL1Psby+l\n1FKMIY3/AWIx6lA01Fo/Aqwq9+iqAZk/IYQwQ6BfILd3uJ2p/acW2qn0eOpxXl/zOvP3zJfy3cIt\nJfVQDAWOAE8Bv2qtnbczF2UkVTKFEGZqFdqKFwe8yNK4pSzSi8jNz8VqtbLiyAq2JWzjTx3+JEtM\nhUtK6l9/AbgA/AScVEq9q5TqV/5hVR9Sg0IIYTZfH19uiLyBvw/+O+3qt7MfT81MZc62Oby36T3O\nXDxjYoTCGxSbUGit39JadwWuAf4F3AisUUodB/6OURlTei3KQKpkCiEqiwY1GzCp1yQe7vZwoZ9H\n+87tY9qqaXy37zsycq7YcUEIwMVVHlrrfcBLwEtKqb4YqzxuByxAjFLqOoxejJVa6+zyCrYqkh4K\nIURlUlC+u2ODjvyof2TV0VVYrVbyrfksPbyUjfEbGRs9lr7N+8okclGI298NWuv1WuungCbAKGAN\ncD+wGJCFzG6SKplCiMqohn8Nxnccz4sDXiQyPNJ+PC0rja/++IrX17zO/nP7TYxQVDalrpSptc4D\nfgV+VUrVAMYCd3oqsOpCVnkIISqzFiEteK7vc2xL2MZ3+76zV9o8kXqCmI0xRNeLZly7cbQKbWVu\noMJ0ZS69DaC1zgDm2j6EG6RKphCisrNYLPRo0oNODTvx2+Hf+PXQr+Tk5QAQmxjLG2veoFvjbtyk\nbqJx7cYmRyvM4pGEQpSeYw+FLBsVQlRmAb4B3Nj2Rvq36M/PB35m7fG15FvzAdiesJ0dp3fQvXF3\nRkaNLFTbQlQPklCYTFZ5CCG8TWhQKHd3upthEcNYqBey9dRWAKxWK1tPbWXrqa10btSZUVGjZCik\nGpGEwkS5+bn2JVg+Fh+C/YNNjkgIIVzXsFZDHun+CCPajGChXsies3vs5/44/Qd/nP6D6HrRDI0Y\nyjUNrpHiWFWcJBQmctzHo1ZALXmzCSG8UsvQljzd62lOpJ7g54M/syNhh/1cbGIssYmxNKzVkKGt\nh9K7WW8C/QJNjFaUF0koTCQ1KIQQVUnzkOY83uNxTqWdYvHBxWw9tdU+x+LMxTN8s/sbfoj9gb7N\n+zKw5UAa1mpocsTCkyShMJHMnxBCVEVNajdhQrcJjGs3jpVHVrLm+Br78G56TjrL4paxLG4Zqp5i\nYMuBdGnUBT8f+XXk7eQVNFFSepL931LUSghR1YTXCOfW9rcyuu1o1p9Yz/K45SSmX65/qBM1OlFT\nK6AW1za9lj7N+9C8TnMZ/vVSklCYJCMng58O/GR/3LCmdP0JIaqmIL8grmt9HUNaDWHfuX38fux3\ndp3ZZR8OuZh9kRVHVrDiyAqa1G5Cn+Z9uLbptYQGhZocuXCHJBQm+Xbft6RkpgBG78TgVoPNDUgI\nIcqZxWKhQ4MOdGjQgZTMFNYeX8va42vt1TcBTqWdYsG+BXy//3uiwqPo2bQnXRt1lV5cL2BqQqGU\nag/MBvoAKcAnwKu2st7FXRcCxGCU+/bB2JjsGa11klO7m4H/BaKAONu955fmXp605+we1h1fZ398\n1zV3yZtFCFGthAaFcmPbGxkVNQqdqNkQv4EdCTvIzjP2l7RarRxIOsCBpAPM3T2X6HrRdGvcjc6N\nOsucs0rKtIRCKRUGLAP2ATcDbYC3MX6pv1zC5f8B2gIPA/nAdOAHYIDD/fsDC4APgWcwNjKbq5RK\n1lr/5s69PCkjJ4Ov/vjK/rhHkx50a9ytPL6UEEJUej4WH9rVb0e7+u3IvCaT7Qnb2RS/CZ2ksVqt\nAORb89l3bh/7zu3j37v/TZuwNnRt3JUujbpQL7ieyc9AFDCzh+JxoAZwi9b6ArBUKVUHmKaUmmE7\ndgWlVB9gBDBIa/277dhJYJNSapjWepmt6d+A37XWz9ger1RKdQBeAX5z814e4zzUMb7jeE9/CSGE\n8EpBfkH0bd6Xvs37ciHrAttObWPLqS0cPn/Y3sZqtXLo/CEOnT/Et3u/pUntJlzT8Bo6NexERFiE\nbKluIjMTipHAEqfEYR5GD8EgYFEx150pSAAAtNablVJHbOeWKaUCgSEYPROO5gH/UkqFaK1TXblX\naZ+c1Wol/kI8F7IuP71z6edkqEMIIVxQJ7AOQ1oPYUjrIZzPOM+OhB3sPL2Tg+cP2nsuwJhzcSrt\nFEsOLaFmQE061DfmaLSv316GRiqYmQlFNLDC8YDW+rhSKt127moJRTQQW8Tx/bZzYAyf+BfRbj/G\nkEpbYIuL9yqVhXohvxz85arnZahDCCFcE14jnKERQxkaMZS0rDR2ndnF9oTtxCbGkpufa293KfsS\nm09uZvPJzYCx9XpBchERFiG1LsqZmf+7YRgTMZ0l286V5roIhzYU0S7Z6bwr9yqV46nHr3pOhjqE\nEKJ0agfWpl+LfvRr0Y+s3Cx0kmbXmV3sOrOL1MzUQm2Ppx7neOpxFh9cTIBvAFF1o2hfvz3t6rWj\nSe0mUu/CwyRdKye3tr+VWgG1Cg15AAT6BXJD5A0y1CGEEGUU6BdIp4ad6NSwk32Yec/ZPew9t5fD\n5w/b61wAZOdls/fsXvae3QsYiYmqq4iuF42qp6gfXF8SjDIyM6FIBkKKOB7G5Z6Eq11Xv4TrCj47\n3z/M6bwr9yqVJrWb8GDXB8tyCyGEEC6yWCw0D2lO85DmjIwaSUZOBrGJsew7t4/9ifs5d+lcofZp\nWWn2rdYBwmqEoeoqVD2FqquoG1zXjKfh1cxMKGJxmqeglGoOBFP0vAbH64pa0hmNsdwT4DCQYzu2\n2qlNPnDAjXsJIYTwMjX8a9C1cVe6Nu4KQGJ6IvvP7WffuX3oJM2l7EuF2idnJLMxfiMb4zcCUDe4\nLm3rtqVt3bZEhUdRL7ie9GCUwMyEYjEwRSlVW2tdsEvWHUAGhZOAoq77m1Kqv9Z6LYBSqgfGnIfF\nAFrrLKXUSuB24P8crr0D2GBb4eHSvYQQQni/esH1GNByAANaDsBqtXIy7SSxibHoRM2BpANk5mYW\nap+UnsSG9A1sOLEBMApxta3blqi6UUSFR9GoViNJMJxYHJffVCRbYat9wB6MpaIRwCwgRmv9skO7\nQ8BqrfUEh2NLMKpfPsflYlRntdbOha1WAe9j9DaMsrW/wbGwlSv3ukr8rYAjy5cvp1mzZqX7TxBC\nCGG6fGs+x1OPG5uVJWkOnT9EVm5WsdfUCqhFVN0oIsMjiQqPonlI8ypfAyM+Pp6hQ4cCtNZaH3U+\nb1oPhdY6WSk1FOMX/iKM1RbvANOcmvoBvk7H7rC1/QyHctlO91+rlLoNo/T2ROAIcJdTlUyX7iWE\nEKLq8rH40Cq0Fa1CW3F95PXk5edxLPUYB5MOciDpAIfOH7qiB+Ni9kV2JOxgR8IOwJggGhEWQWR4\nJJHhkbQObU2gX6AZT8c0pvVQeDvpoRBCiOoh35rPidQTHDx/kINJBzl4/uAVczCc+Vh8aBHSgjbh\nbexJhrcX2qq0PRRCCCGEN/Cx+NAytCUtQ1syLGIYVquVhIsJHDp/yJ5gOO6YCkYScjTlKEdTjrI8\nbjlgzOOIDI+0JxmNazWuUvMwJKEQQggh3GCxWGhSuwlNajdhYMuBAJzPOM/BpIP2fUYSLibgPAKQ\nmJ5IYnqifSVJsH8wEWERtAlvQ5uwNrQKbeXVwySSUAghhBBlFF4jnF7NetGrWS8A0nPSiUuOsycY\nR1OOkpOXU+ia9Jx09pzdw56zewCjJ6R5SHP7XIw2YW0Iq1Fc4ejKRRIKIYQQwsOC/YPp2KAjHRt0\nBCA3P5fjqcc5fP4wh5MPc+j8IdKy0gpdk2/N51jKMY6lHGPlkZWAUXCrTVgbey9GZV5NIgmFEEII\nUc78fPyICIsgIiyC4QzHarVyLv2cvRfj8PnDRQ6TJGckszXjckXPAN8AWoW2ss/FaB3ampoBNc14\nSleQhEIIIYSoYBaLhQY1G9CgZgN6N+sNGEMgR5KPcDj5MIfPH+ZIypEr6mFk52VzIOkAB5IO2I81\nrt3Y3osRGR5p2r4kklAIIYQQlUCwfzAdGnSgQ4MOgDEEcvLCSaMHw5ZknM84f8V1CWkJJKQlsPb4\nWsDY+KxNWBt7L0aLkBYVsnW7JBRCCCFEJVQwSbN5SHOGtB4CQEpmin0exuHzhzmeerzQrqpgbHy2\n8/ROdp7eCYC/r799mCQyPJKIsAiC/YM9Hq8kFEIIIYSXCA0KpXuT7nRv0h0whkCOphzl8Hljomdc\nchzpOemFrsnJyzHqZSQdBIzhlqa1m9oTjMjwSI+sJpGEQgghhPBSAb4B9l1RAXvRrYIE49D5QySm\nJxa6xmq1En8hnvgL8aw6ugowdleNDI+kT7M+tKvfrlSxSEIhhBBCVBGORbcGtDT2uEzNTLUvVT10\n/hAnUk9cMUySlJ5EUnoSm+I38dLAl2gR0sLtry0JhRBCCFGFhQSF0K1xN7o17gZAVm5WoaJbcclx\nZOdlA5RpdYgkFEIIIUQ1EugXSLv67exDG3n5eZy4cILjqcdpVKtRqXonQBIKIYQQolrz9fG1b99e\nFpJQlJ4vwOnTp82OQwghhCh3Dr/vfIs6LwlF6TUGuPvuu82OQwghhKhIjYHDzgcloSi9LcAAIAHI\nMzkWIYQQorz5YiQTW4o6aXHeiEQIIYQQwl2Vcw9UIYQQQngVSSiEEEIIUWaSUAghhBCizCShEEII\nIUSZySqPcqCUag/MBvoAKcAnwKtaa69dDaKUuh24F+gOhAAamKm1nuvQZhUwqIjLa2itMysiTk9Q\nSj0A/KuIUxO11h/b2liAvwITgXoYs56f0VrvrKg4PaGY1wygr9Z6g1LqKNDS6dwZrXWjcgytzJRS\nkcAUjPdhB2CN1nqwUxuXXsfK/p4u6bkqpRoDk4ERQBsgGVgB/FVrfcqh3WBgZRFfYrrWemp5xe8O\nF1/Xo7jwPVsFXtfBFP16Afymtb7e1u4BSviZ5gmSUHiYUioMWAbsA27GePO+jdEb9LKJoZXVZOAI\n8CyQCIwCvlFK1dNaz3ZotxJ40enarIoJ0eOuAzIcHsc5/Hsq8DeMN3ssxv/PMqVUR621N1U7ewKo\n43Tsf4CuFF4a9g3GD94C2eUclyd0wPg+3Qj4X6VNia+jl7ynS3qu3YFxGL8wNwENgWnAettzvejU\n/m4Kf7+f9HTAZeDK6wolfM9Wkdd1O0ay4agFMB9YXET74n6mlZkkFJ73OFADuEVrfQFYqpSqA0xT\nSs2wHfNGY7TWjnvgrlBKNcH4Aez4pj2vtd5YsaGVmy1F/KBFKRWE8YvoDa31+7ZjG4CjwFNUnh9G\nJdJa73N8rJQKAHoA87XWuQ6nErzwdV2ktf4RQCn1HUYPhJ0br6M3vKeLfa7AWiDa8TVVSm3H6Gm8\nFfjCqf35h/vuAAAJmklEQVQurfWecoy3LEp6rgVK+p71+tfVFmOh56iUGgDkA/8p4n5F/kzzFJlD\n4XkjgSVO34zzML5xr9a1XOk5JRMFdgBNKjqWSqAvxl/19jes1voSsAjj9fdmNwBhwNySGlZ2Wuv8\nEpq4+jpW+vd0Sc9Va53ilCCitT4ApONl72EXXldXef3rehV3Aqsdh7IqiiQUnheN0XVqp7U+jvHG\njTYlovLTBzjgdGyEUird9rFEKdXJjMA85LBSKlcppZVSjzkcj8aojnrQqf1+vP81Hg/EA2ucjk9Q\nSmUrpVKVUt8ppZzHp72Rq69jlXxP296bwVz5HgajBzJPKXVUKfWyUqrIvRsquZK+Z6vc66qUaosx\nXHm1Pwiu9jPNIySh8LwwjMk9zpJt56oEpdRQYCzGmGOB1cAk4HrgUYyxvDVKqVYVHmDZJGCMq98L\njMHoUvxYKfWs7XwYcLGIiVvJQLBt2MDrKKWCgZuA/2itHUvo/ogx12IolyeIrVFKhVR8lB7l6utY\n5d7TSikf4F2MZGqhw6lU4E3gAYz38Q/Aq8CsCg6xrFz5nq1yryvGHwQ5wAKn4yX9TPMImUMh3GZL\nEL4BftRaf15wXGv9d4dma5RSyzD+Aviz7cMraK2XAEscDi22jbe/rJR616SwKsIYoCZOf91orSc5\nPFyjlFoP7AQeBGIqLjzhQW9g/JIdpLXOKTiotd6BMZRZYJlSKguYrJR67SpDn5VONf6eHY+xuuO8\n48GSfqZ5ahhJeig8LxljWaWzMNs5r6aUCseYPXwMYyb4Vdlmya8DulVAaOXtOyAcaIXxOtYqohs4\nDEjXWnvDCoiijAcOaa23FtfINllP4/2vq6uvY5V6TyulnsD4q/1+rfUmFy75DuOPT68dvrzK92xV\ne107A+1wff6T4880j5CEwvNicRp/U0o1xxirjC3yCi9h6xL/CQgAbtRap7twmdX24e2sDp9jMXbd\ni3Rqc8WYrLewdQWPxPUfRlXhdXX1dawy72ml1K0Yq7Ke11rPd/Eyq9Nnb+X8PVtlXleb8RhLQn90\nsb3HX1dJKDxvMXC9Uqq2w7E7MF7o1eaEVHZKKT/gWyAKuEFrfdaFaxoB/YFt5RxeRbgNo/7GMWA9\ncAG4veCkLdkaQ9Frv73BOCAQFxIKpVRHjB/E3v66uvo6Von3tK0I0r+B2VrrmW5cehuQC+wqj7gq\nwlW+Z6vE6+pgPMYyU1eXhTr+TPMImUPheR8DzwDfK6WmAxEYBWRmVZJ1zaX1IUaBlUlAXaVUXYdz\nOwCFMS77LcY3aAuMCoT5eNmYpVJqAbAZ4weoL8YPmTswKijmA5lKqTeBvymlkrlcEMmHwjU5vMl4\n4A+t9X7Hg0qp0cA9GD1TpzB+KL8MHAc+r+AY3WJLDkbZHjYF6iilbrM9/kVrne7i61jp39MlPVeM\nqpE/YDzH+Uqp3g6Xn9NaH7bd5yPgHEZRs2zbPZ8CYrTWSeX+RFzgwnMdgmvfs17/uhb0Ettez1YY\nhQeLuk9JP9M8QhIKD9NaJ9tWQLyPsZ49BXgH4xvVm42wfS5qUmJrIAmwYCQVdYE0YBUw1rYUy5to\n4CGgOcZz2gfcp7X+yqHNmxi/eP6K8Xy3AsO11mcqONYyU0rV+//27i3EqioM4PjfwqwIUtIiKspK\nv64YGEj6UlBBUL0EEUk0YIQvdqEiMpIuFHR7KK0QKlMp66noAqUFkVQoJZERfWQ1ZNGVrKdSE3tY\ne8d0nJlzmn30zOX/g2HP2Ze11+bMOfubtddaH6U3/F2DbN4OHE0JCqdS3uc3gaWj5Ut3GEdTAtyB\n6tczKRNYtX0fx8hnut21zqP0F5hDaZkZaDVlVAeUIbPXUW5MhwDbgFsY/HPfK+2utaO/2XHyvvZX\nv19FGaEzVAtpJ99pjU3au3esPxaTJEm9Zh8KSZLUmAGFJElqzIBCkiQ1ZkAhSZIaM6CQJEmNGVBI\nkqTGDCgkdSwi+iJi72jLIBsRV0fEzxFxWBfL7I+I50Z47PvVZEnShOHEVtIEFxGdTkYzc79WZISq\naeHvBh7PzD97XJ3aQ8DzEfFoJ9PUS+OBAYWka1pe30SZqrl1Gt9fgLXAi8DOA1CvTl0OnAI83eVy\ngzJ1/Ei8RskTshi4t2s1kkYxZ8qU9B8R8QpwTmae1Ou6dCIiXgOOyMwLel2XgSJiOSWD66zM9ItW\n454tFJI6FhF9wCpgZmb2V+v6gU+AJ4AHgdMpOSEWZ+bmiLgWuJOSMG4T0JeZ37SUOx+4h5Jz4mDg\nQ+D2zBw2o2lEHErJM7NPK0D1KOcxSlKkZdX5PwIWZeaXEXEbsASYAWyo6vXbgOP7gXczs6/l2s+j\n5E5YSEl1vR64PjN/aanCBkpirbOArcNdhzQe2ClTUjecBqyhZLS8EzgeeD0iFgFLgZWUYGMeLY8m\nIuJCSiK5KZQb/13V8e9FxBltzjuXksRqyxDbLwAeAJ4F7q/2fzkilgJXAo9Qsk5eCjzc4bU+CZxJ\n6bfxFCXd+YpB9quDoQUdliuNabZQSOqGAOZl5maAiPgOeIlyk55Vp76OiMnAHRFxQmZuj4iDKDfl\ntzLzsn8Li3iGkmp7GaU1YCinVctvhtg+G5idmdurcndTAps+4OzM3FmtPwZYGBGLM3N3m2v9Gbik\nfoxRXcMNEXFkZv5R75SZ30fELqBdUCSNC7ZQSOqGT+tgorKpWr5aBxMt6+sRI3OAU4F1ETG9/gEm\nAxuB89uc96hquWOI7evrYKLl/C/UwcSA9VOAY9ucD2BlS5+IjZTHNCcOsu8OYHoHZUpjni0Ukrrh\n25bX9X/q24dYP61azqqWzw9RbqejLCZ1sV6tx7Qrsw5mprXuWNXLDpmaEAwoJHXDnv+5vg4A6lbS\nm4HPRnDeuvVjGvBjF+s1nP9z7FTg1w7KlMY8AwpJvfRVtfw9M98ewfFfVMuZlJElo0ZEHEfpMDqq\n6iXtL/ahkNRLW4CvgVsj4vDWjRExo83xHwO7gHP3Q92amlstP+hpLaQDxBYKST2TmXsi4nrgDWBr\nRKwGfqAMG70Y2Ma+M3kOPP6viFgPXMjom5HyIsroE+eg0IRgC4WknsrMd4D5lBvvjcByShDxFWWO\niHZWAQsiopMRGgdENZT0CmCNs2RqonDqbUljWpUc7HNgbWbe1+v6AETE5cA64OTM/KnX9ZEOBFso\nJI1pmfk3ZdbKJd1MX97Q7cAKgwlNJLZQSJKkxmyhkCRJjRlQSJKkxgwoJElSYwYUkiSpMQMKSZLU\nmAGFJElqzIBCkiQ1ZkAhSZIa+wefWQSFLXEnwwAAAABJRU5ErkJggg==\n", 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K5MmT8fX1NeV1cHBg2bJlREdHM3nyZBwdHenTpw/Tp0+32LWUZOtW1UGzTh24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\n6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5v3m2e4h9UeNq6uri6jfe53b4ICAFKpVNjX3LiIHBETCiKy2HBf/KaeCBn8wt2+fTui\noqIe+n19fX0BGL7Mh3rK42HjMicBeJh9u7q6RC00RI6MCQUR2UxISAgAw6/8oZ7UMEUulwMwdKFE\nRERYNTZLff3119BoNOMuLqLRwjEURGQzMTExCAkJwe9+9zuo1Wqj14d6HPNesbGxkEgk+Pe//z1a\nIY7Y4GOvM2bMsHEkRGODLRREZDMuLi7YtWsX1q9fj+985zvIyMhAQEAAWltbcenSJUyZMuWBa2K4\nu7tjwYIF+PLLL8fdjJSXL19GcHCw2VObE9k7tlAQkU3NmzcPx48fR1RUFI4dO4Zdu3ahqKgIISEh\nyMzMNLn/888/j6tXr+LOnTtjEK15dDodSktLkZGRwVky6ZHBtTyIyK4NDAwgPT0d3/3ud7Fx40Zb\nhwPAsJDa1q1bcebMGTz22GO2DodoTLCFgojsmqurKzZt2oSPPvrIqsuXW+L9999HVlYWkwl6pLCF\ngoiIiCzGFgoiIiKyGBMKIiIishgTCiIiIrIYEwoiIiKyGBMKIiIishgTCiIiIrIYEwoiIiKyGBMK\nIiIistj/Ah9HuT4H5ZzgAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1224,7 +1224,7 @@ }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 21, "metadata": { "collapsed": true }, @@ -1257,7 +1257,7 @@ }, { "cell_type": "code", - "execution_count": 85, + "execution_count": 22, "metadata": {}, "outputs": [ { @@ -1266,7 +1266,7 @@ "(-5.9399999999999995, 0.0)" ] }, - "execution_count": 85, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } @@ -1284,7 +1284,7 @@ }, { "cell_type": "code", - "execution_count": 86, + "execution_count": 23, "metadata": { "collapsed": true }, @@ -1305,7 +1305,7 @@ }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 24, "metadata": { "collapsed": true }, @@ -1323,15 +1323,15 @@ }, { "cell_type": "code", - "execution_count": 88, + "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 95.8 ms, sys: 1.08 ms, total: 96.8 ms\n", - "Wall time: 92.9 ms\n" + "CPU times: user 244 ms, sys: 0 ns, total: 244 ms\n", + "Wall time: 424 ms\n" ] } ], @@ -1348,7 +1348,7 @@ }, { "cell_type": "code", - "execution_count": 89, + "execution_count": 26, "metadata": {}, "outputs": [ { @@ -1535,7 +1535,7 @@ "182 91.759884 -0.000789" ] }, - "execution_count": 89, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" } @@ -1553,14 +1553,14 @@ }, { "cell_type": "code", - "execution_count": 90, + "execution_count": 27, "metadata": {}, "outputs": [ { "data": { - "image/png": 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IOz/2BpUN4/ngg0MwaRL1wYn87Gcezj8fbrjBjSoVkeFNASBJuLuKeoEz4cOj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\nACAikqQUAEREkpQCgIhIkhp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os0yv12MytWxsjUYjer2+RXlHSkiAxYshOhrC+wfSQ9/AHSGl+KktHP7gUKf+biGE8FTt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\nUpIAhBDCS/1/h05IZZJnatsAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1582,7 +1582,7 @@ }, { "cell_type": "code", - "execution_count": 91, + "execution_count": 28, "metadata": { "scrolled": false }, @@ -1747,7 +1747,7 @@ "182 -0.091388 0.890527" ] }, - "execution_count": 91, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" } @@ -1767,7 +1767,7 @@ }, { "cell_type": "code", - "execution_count": 92, + "execution_count": 29, "metadata": {}, "outputs": [ { @@ -1895,7 +1895,7 @@ }, { "cell_type": "code", - "execution_count": 93, + "execution_count": 30, "metadata": { "collapsed": true }, @@ -1916,7 +1916,7 @@ }, { "cell_type": "code", - "execution_count": 94, + "execution_count": 31, "metadata": { "collapsed": true }, @@ -1935,7 +1935,7 @@ }, { "cell_type": "code", - "execution_count": 95, + "execution_count": 32, "metadata": { "collapsed": true }, @@ -1968,7 +1968,7 @@ }, { "cell_type": "code", - "execution_count": 96, + "execution_count": 33, "metadata": { "collapsed": true }, @@ -2003,7 +2003,7 @@ }, { "cell_type": "code", - "execution_count": 97, + "execution_count": 34, "metadata": { "collapsed": true }, @@ -2040,7 +2040,7 @@ }, { "cell_type": "code", - "execution_count": 98, + "execution_count": 35, "metadata": {}, "outputs": [ { @@ -2049,7 +2049,7 @@ "(290, 0.03, 0.02, 1e-05)" ] }, - "execution_count": 98, + "execution_count": 35, "metadata": {}, "output_type": "execute_result" } @@ -2068,7 +2068,7 @@ }, { "cell_type": "code", - "execution_count": 99, + "execution_count": 36, "metadata": {}, "outputs": [ { @@ -2109,7 +2109,7 @@ "dtype: float64" ] }, - "execution_count": 99, + "execution_count": 36, "metadata": {}, "output_type": "execute_result" } @@ -2127,7 +2127,7 @@ }, { "cell_type": "code", - "execution_count": 100, + "execution_count": 37, "metadata": { "collapsed": true }, @@ -2145,7 +2145,7 @@ }, { "cell_type": "code", - "execution_count": 101, + "execution_count": 38, "metadata": {}, "outputs": [ { @@ -2257,21 +2257,24 @@ }, { "cell_type": "code", - "execution_count": 103, + "execution_count": 42, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "Saving figure to file chap08-fig04.pdf\n" - ] + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" }, { "data": { - "image/png": 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AAGDG+GAAwPbvzlq5EiIi67DbAAjq7Ymh/bvj+Pnr+M+Zh7u9JRFRZ2C3AQAAsycMAABs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\n5fugdVpa3waDwTB27FjD+++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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2279,10 +2282,7 @@ } ], "source": [ - "decorate(xlabel='Time (min)',\n", - " ylabel='Concentration (mg/dL)')\n", - "\n", - "savefig('chap08-fig04.pdf')" + "system.results.plot() #the fit is slightly better" ] }, { @@ -2298,7 +2298,7 @@ }, { "cell_type": "code", - "execution_count": 104, + "execution_count": 43, "metadata": { "collapsed": true }, @@ -2320,8 +2320,6 @@ " # solve the ODE\n", " run_odeint(system, slope_func)\n", " \n", - " # compute the difference between the model\n", - " # results and actual data\n", " error = system.results.G - data.glucose\n", " return error.loc[8:]\n", "\n", @@ -2337,7 +2335,7 @@ }, { "cell_type": "code", - "execution_count": 105, + "execution_count": 44, "metadata": {}, "outputs": [ { @@ -2388,7 +2386,7 @@ }, { "cell_type": "code", - "execution_count": 106, + "execution_count": 45, "metadata": { "collapsed": true }, @@ -2417,7 +2415,7 @@ }, { "cell_type": "code", - "execution_count": 107, + "execution_count": 46, "metadata": {}, "outputs": [ { @@ -2463,7 +2461,7 @@ "dtype: float64" ] }, - "execution_count": 107, + "execution_count": 46, "metadata": {}, "output_type": "execute_result" } @@ -2494,7 +2492,7 @@ }, { "cell_type": "code", - "execution_count": 108, + "execution_count": 47, "metadata": { "collapsed": true }, @@ -2508,7 +2506,7 @@ }, { "cell_type": "code", - "execution_count": 109, + "execution_count": 48, "metadata": { "collapsed": true }, @@ -2526,7 +2524,7 @@ }, { "cell_type": "code", - "execution_count": 110, + "execution_count": 49, "metadata": { "collapsed": true }, @@ -2544,7 +2542,7 @@ }, { "cell_type": "code", - "execution_count": 111, + "execution_count": 50, "metadata": { "collapsed": true }, @@ -2560,25 +2558,25 @@ }, { "cell_type": "code", - "execution_count": 112, + "execution_count": 52, "metadata": {}, "outputs": [ { - "ename": "NameError", - "evalue": "name 'slope' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\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 1\u001b[0m \u001b[0;31m# Solution goes here\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0minit\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mState\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m360\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mslope\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0minit\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msystem\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mNameError\u001b[0m: name 'slope' is not defined" - ] + "data": { + "text/plain": [ + "0 -90.0\n", + "dtype: float64" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ "# Solution goes here\n", "init = State(360)\n", - "slope(init, 0, system)\n", + "slope_func(init, 0, system)\n", " " ] }, @@ -2591,11 +2589,54 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 54, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " I\n", + "time \n", + "0 360.000000\n", + "2 219.652719\n", + "4 137.739127\n", + "6 89.505898\n", + "8 61.636133\n", + "10 45.765330\n", + "12 37.053121\n", + "14 32.989732\n", + "16 31.406589\n", + "19 31.811071\n", + "22 32.581632\n", + "27 34.014287\n", + "32 33.758216\n", + "42 30.932902\n", + "52 24.554216\n", + "62 15.767804\n", + "72 7.782053\n", + "82 -0.382598\n", + "92 0.598298\n", + "102 1.943431\n", + "122 3.415756\n", + "142 4.413573\n", + "162 11.170251\n", + "182 25.702699\n" + ] + }, + { + "data": { + "image/png": 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m3A1Kry974O0DQLbeHy5dcl1AQgjhZhyqCjtw4AAtWrRg1KhRDB06lNDQUDQV\nGrJBabx/+umnnRqkO7EmFh8fyM8nuyhASSxdurg0LiGEcBcOJZaPPvrI+njr1q3V7tOkEguQY/Cj\n9Pyl+t0xTQghGhGHrofHjx9vqDiuGZUTi9msIueMjtauC0kIIdyKdGVyUHli8bauyz6jr35nIYRo\ngq6oBufPP/9k+/bt1kb88PBwbrnlFro0gXaGyiUWgOxzJa4JRggh3JBDicVkMvHiiy/y5ZdfYjab\n8fBQXl5aWsobb7zBhAkTWLBggd2j79PS0vjggw/49ddfSU5OJjo6mtWrV9vsYzabWb58OZ999hmX\nL1+mV69ePPvss1x3ne2gxOTkZBYtWsShQ4cICAhgwoQJzJ49u0rngvoq7xVWocSSjYxlEUKIMg5d\nCZctW8YXX3zBfffdx6ZNmzh8+DCHDx8mMTGRuLg4vvzyS5YvX2738U6ePMn27dvp2LEjHTp0qHaf\nFStWsHTpUqZPn86yZcvw8/MjPj6e7Oxs6z55eXnEx8ejUqlYunQps2bNYtWqVbz99tuOfDy7WBOL\nWgNeXgBc1PvB5ctOfy8hhLgWOZRY1q1bx5gxY1iwYAEdO3ZErVajVqvp0KEDL7zwAqNHj+arr76y\n+3ixsbFs376dt99+u9pqNIPBwIoVK0hISOCBBx7gpptu4q233kKlUvHJJ59Y91uzZg0Gg4ElS5Yw\nePBg7r//fmbNmsWHH36ITqdz5CPWymiEkoq1Xj6WsSwBcPGi095HCCGuZQ4llqysLPr371/j9v79\n+3P+/Hn737yOqqODBw+i0+kYNWqUdZ2fnx+33norO3futK7bsWMHQ4YMwb/C/ejHjBlDUVER+/bt\nszueuugrtNGr1Vgb8C8W+WO+KIMkhRACHEwsbdq04eDBgzVuP3DgAG3atKl3UBYpKSloNJoq1WSd\nOnUiJSXFZr+oqCibfcLDw/H19bXZr74qJpbmzcEnQKkKMxg9yE/Pc9r7CCHEtcyhxDJu3Dg2bNjA\nwoULOXPmjHX9mTNnWLRoERs3bmT8+PFOC06r1eLn51elAT4oKAi9Xk9xcbF1v4CAqvedDwwMRKvV\nOi2eionF1xdCQsvjyj5d4LT3EUKIa5lDvcJmzpxJeno6//3vf/nss8+sF3yj0YjZbGb8+PHMnDmz\nQQJ1B5UTS0CEN2fLnmenG+jkkqiEEMK9OJRYNBoNr776KvHx8ezYsYOMjAwA2rZty7Bhw+jevbtT\ngwsMDKSwsBCj0WhTasnLy8PX1xevsl5ZgYGB1TbSa7Xaam9GdqWqlFha+lmfX8yUsSxCCAF2JJaS\nkhLeeustIiMjmThxIgDdu3cVie5HAAAgAElEQVSvkkQ+//xzNm7cyNy5c502diQqKgqj0UhaWppN\nG0rlNpWoqKgqbSmZmZno9foqbS/1USWxdGwGKsAM2RdVUFoKHjJrmBCiaauzjeWrr77iww8/JDo6\nutb9oqOj+c9//sPatWudFly/fv3w9/cnMTHRuk6v17Nt2zaGDh1qXTds2DB27dplU2rZuHEjPj4+\nDBgwwGnxVG1j8QAvpWdYtt5fxrIIIQR2lFi+//57brvtNjp1qr0FoVOnTvzlL3/hu+++Y8KECXa9\nuV6vZ/v27QCcP38enU5nTSI333wzvr6+JCQksHTpUoKCgoiKimLVqlWYTCYmT55sPU5cXByrV69m\nzpw5TJ8+nbNnz7JkyRLi4+NtuiDXV5XEEoIylsVgUKbPv3ixbKUQQjRddSaW48ePM2/ePLsO1r9/\nf/7973/b/eaXLl1i7ty5Nussz5OSkoiIiCAhIQGTycTy5cvJzc2lZ8+erFq1ilatWllfExQUxIcf\nfsjChQuZMWMGgYGBTJ06lTlz5tgdiz0qJ5bmzeFiSRBpF4MoLPXC9xUDd8yBmBinvq0QQlxT6kws\nBoMB7wrzYtXG29sbg8Fg95tHRERw4sSJWvdRqVTMnDmzzt5mnTt35uOPP7b7va9E5cRy4ACkalug\nL1W6GqecNLJypbJdkosQoqmqs42ldevWJCcn23Ww5ORkQhpxVVDlxLJpE/gGelrXFeUqSbVCk5AQ\nQjQ5dSaWm266iW+++YbLdTRM5+Tk8M0333DTTTc5LTh3UzmxZGaCb1B5aa5QZ4KSEsruJiCEEE1S\nnYll+vTp6PV6pkyZwuHDh6vd5/Dhw8THx6PX63n44YedHqS7qJxYwsLAz18NnkqppaDUG/K1hIe7\nKEAhhHADdbaxtGvXjjfffJMnnniCiRMn0q5dO7p06UKzZs0oKCjg5MmTnDlzBh8fH/7v//6vxunv\nG4PKiWXUKDh+HCWxlJSgK/UGbT4jR7Z0WYxCCOFqdo3mi42N5bvvvuP999/nxx9/ZOvWrdZtISEh\nTJgwgWnTptGuXbsGC9QdVE4sMTEwaxY8dkhDQaEZDSbiu/9MTEwHl8UohBCuZvcw8cjISBYuXAiA\nTqejoKCAZs2aOXWciLurnFgABg+GkaPVXPhe6eAQkX9M7iYphGjSrujq5+/vT5s2bZpUUjEaoWwy\nZVQqmzsT07aTr/Vukuk5fpCV5YIIhRDCPcjPajtVLq2oVOXP20aoIFCZtj+9IBhSU69ydEII4T4k\nsdipumowi4gIIECZRTmjoDk48eZiQghxrZHEYqfaEkvbtlhLLBkFwZJYhBBNmiQWO9WWWEJCwKtF\nAKhAW+yDNu0yFBVd3QCFEMJNSGKxU22JRaWCtu000EzpzJChC4LTp69ecEII4UYksdiptsQClnYW\nqQ4TQghJLHaqK7Eo7SxKA356QXPpGSaEaLIksdjJrhKLtctxc/jzTygpuTrBCSGEG5HEYie7Siw+\nvuDrS2ZhECa9AX799arFJ4QQ7kISi53qSix+ftC8hQpC21BqUnNeHwC7d1+9AIUQwk1IYrFTXYkF\nykotrduAqmyg5PHjcOnSVYlPCCHchSQWO9mTWPR6OHDUm505Pfi/w7ex/0J72LPn6gQohBBuwu7Z\njZu6uhLL/v3w009QUAD4+pGibcXCg2MITy1C/b2ZsHAVo0YpU+0LIURjJonFTnUllk2blHYWAHx8\nOJ8TxJ95bfC/ZOCGFjqMpgBWrlQ2S3IRQjRmkljsVFdiycxUEkuzZlBQoKLA3Awwoivx5uSxYpKz\nlBtN/vorjB2LlF6EEI2WJBY71ZVYwsIgIwP69IELFyDnoicYjHioTeh1RvL0JlCp8feHs2eR0osQ\notGSxns71HaTL4tRo5R/PTwgPBwi22toHVhEl8ALFJZ6QUkpoMxN+euvkJ8PiYlX6QMIIcRVJCUW\nO1ScqNjHx/YmXxaWkkdiIpw7B9HRcKEZhFzI4GKRP7nFUGLU4B+soaAA9u6FffsgPV3ppixVY0KI\nxkISix3s6WoMSmKomBz272tB4oueBF3UE+ilx8f7Epd921NQqCYvTynd/PKLcnypGhNCNBZSFWYH\nexNLZTEDVDz33+tYevs6+rc6Q4+As/QPPoXRqGz394fCQvjtN+VfqRoTQjQGUmKxw5UmFgCCg4l5\n8mZYlEhieg/O5ZoJDQjDt6M/ly6ByaS03/z0Exw5olSjhYVJ1ZgQ4tolicUO9UosAP36EXPXYWL2\nbgRg4cE8Mrx6kNejA0f/0KDTQV6e0qCfn68kG6kaE0JcqySx2KHeiQUgLg5OnoSLFxkVcZSVx4MJ\nysmhV/uuJO0PBFT4+io9xsLCoF07pWqsxsRiMCjZSKtVFsvjiuuKi0GjURa1WlkqPtdolA8UGKgs\nQUHljwMDlbq66noqCCFELSSx2MEpicXHB+bPh9WriTl6FECpGkstJNTchQLPZniZPDAVqMg4aeb8\nKRMn9hZTejiLC5c8CPPNZVSHY1BQwKZjHcjM9yfML49RkUeJaZ3mcDj7L7Rn09meZBYGlR3nl6rH\nUauVu2JWl3QqPg8KqseJEUI0NpJY7OCUxAIQHAyzZ8PevcR88YX1Qr7wwBj+zGvDybwQtCXKG+SX\nepJV6k3BhUBa+2pJVfmz6ZehAAR5FaFWmbhU1IzT+S2B7Q4ll+3nuvDuH7dQUOKNh9pIYakXK48P\nAbA9jsmklIDy8pRRnbVp3hw6dICOHaF9e+Wxj4/dMQkhGg9JLHY4cgQOHFB6bhUWKneLvOK2D5UK\nbroJrr8e1q2DI0cYFXmUjIJg+rRMJ8fQjNT8Vlws8sffowiDyYOzBS0AuFjkD0ArH51yrLIqrZNH\nOnL/kHTatTPTrqMHl0oC2XmsFZmXvGgRWEqvbsUE+pVyJkNDWrqG/6X6UWBWKf/7JhMUmfDRlHDx\nTCRPt9tNd78zBBRlKx/WXpcvK4vl5mYqFbRpoyQYS8KJiFD6WAshGjX5ltdh/37YvLls1mKUH+9O\naVgPDoYHHwSzmZj0dPj2HIlbNWjy/OjdIpekY37k6r0oNvqCWgVqDaWXPMsu2M3K2j6U9o9LKvjN\nO5zfzsOFI8ptYLy8lF0MBlibBN27Q+vWyksKTUCl2QOKgGP65qws6ghFyqDN7gOMdI/Q0bV1Lj6G\nPNv2m4rtOZcvQ2mp7QHNZsjKUpafflLWaTRKcrGUajp2VJKPWnq9C9GYSGKpw6ZNttdMyw/uWhvW\nHaFSQWQkMbMjiZldYf1COHNGmXfMMp1MSbKye/sOUFICOp2yWGdVprzGyvIai/T0ssSC0iZv+dfS\nB8BoVCbQtMjIgIwMDUkEoVYH0bGjkpy6d4eoqEoFD5NJ6Sd9+nT5kpGhrK/IaIS0NGWx8PYurzqz\nvEnFDySEuHrMZuW7m5ysdDZKTlZ+ECYkKN9RO0liqcO5c8qPcgtPz/L1DWnUKKVkFBZWvs7XV0ks\nISHl68xmGDdOaeI4cwYOH1b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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "run_odeint(system, slope)\n", + "run_odeint(system, slope_func)\n", "print(system.results)\n", "plot(system.results, 'r-', label='model')\n", "plot(data.insulin, 'bo-', label='insulin')\n", @@ -2615,7 +2656,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 57, "metadata": { "collapsed": true }, @@ -2624,16 +2665,44 @@ "# Solution goes here\n", "def error_func(params, data):\n", " system = make_system(*params, data)\n", - " run_odeint(system, slope)\n", + " run_odeint(system, slope_func)\n", " \n", " return (system.results.I - data.insulin)[8:]" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 58, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "time\n", + "16 -3.593411\n", + "19 1.811071\n", + "22 2.581632\n", + "27 7.014287\n", + "32 3.758216\n", + "42 8.932902\n", + "52 9.554216\n", + "62 0.767804\n", + "72 -3.217947\n", + "82 -10.382598\n", + "92 -7.401702\n", + "102 -9.056569\n", + "122 -3.584244\n", + "142 -3.586427\n", + "162 3.170251\n", + "182 18.702699\n", + "dtype: float64" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# Solution goes here\n", "params = [I0, k, gamma, G_T]\n", @@ -2650,7 +2719,9 @@ { "cell_type": "code", "execution_count": null, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "# Solution goes here\n", @@ -2677,17 +2748,9 @@ }, { "cell_type": "code", - "execution_count": 113, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "1.84496124031\n" - ] - } - ], + "outputs": [], "source": [ "phi1 = (data.insulin.max() - data.insulin[0])/(system.k*(data.glucose.max() - data.glucose[0]))\n", "print(phi1)" @@ -2695,17 +2758,9 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "40.0\n" - ] - } - ], + "outputs": [], "source": [ "phi2 = gamma * 1e4\n", "print(phi2)" From 22bff9e7c14c262011d004c9b992012ba876c7c3 Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Mon, 30 Oct 2017 22:27:25 +0000 Subject: [PATCH 48/51] update chap08 --- code/chap08mine.ipynb | 29 ++++++++++++++++++++++++----- code/chap08mine.org | 2 +- 2 files changed, 25 insertions(+), 6 deletions(-) diff --git a/code/chap08mine.ipynb b/code/chap08mine.ipynb index 94bb7937..e270c47e 100644 --- a/code/chap08mine.ipynb +++ b/code/chap08mine.ipynb @@ -2718,11 +2718,30 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "modsim.py: scipy.optimize.leastsq ran successfully\n", + " and returned the following message:\n", + "The relative error between two consecutive iterates is at most 0.000000\n" + ] + }, + { + "ename": "NameError", + "evalue": "name 'slope' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\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[0mparams\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfit_leastsq\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0merror_func\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mparams\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0msystem\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmake_system\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mparams\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0mrun_odeint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msystem\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mslope\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msystem\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresults\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'r-'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlabel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'model'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minsulin\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'bo-'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlabel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'data'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'slope' is not defined" + ] + } + ], "source": [ "# Solution goes here\n", "params = fit_leastsq(error_func, params, data)\n", diff --git a/code/chap08mine.org b/code/chap08mine.org index f9ad2a36..2e03693d 100644 --- a/code/chap08mine.org +++ b/code/chap08mine.org @@ -176,7 +176,7 @@ Modify the last line of error_func to return errors.loc[8:], which includes only system= pd.Series({'init': init, 'k1': k1, 'k2': 'k2', 'k3': k3, 'Gb': Gb, 'Ib': Ib, - 'I': cipy.interpolate.interp1d(data.insulin.index, data.insulin.values), + 'I': scipy.interpolate.interp1d(data.insulin.index, data.insulin.values), 'ts': data.index}) return system From d4b85e4f8c1e3c37cfb3978f943895a5cb6bfed7 Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Wed, 1 Nov 2017 14:23:21 +0000 Subject: [PATCH 49/51] add chap09 --- code/chap09-fig01.pdf | Bin 0 -> 9934 bytes code/chap09-fig02.pdf | Bin 0 -> 9721 bytes code/chap09mine.ipynb | 2154 +++++++++++++++++++++++++++++++++++++++++ code/chap09mine.org | 37 + 4 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00000000..afa00211 --- /dev/null +++ b/code/chap09mine.ipynb @@ -0,0 +1,2154 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Modeling and Simulation in Python\n", + "\n", + "Chapter 9: Projectiles\n", + "\n", + "Copyright 2017 Allen Downey\n", + "\n", + "License: [Creative Commons Attribution 4.0 International](https://creativecommons.org/licenses/by/4.0)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# If you want the figures to appear in the notebook, \n", + "# and you want to interact with them, use\n", + "# %matplotlib notebook\n", + "\n", + "# If you want the figures to appear in the notebook, \n", + "# and you don't want to interact with them, use\n", + "# %matplotlib inline\n", + "\n", + "# If you want the figures to appear in separate windows, use\n", + "# %matplotlib qt5\n", + "\n", + "# tempo switch from one to another, you have to select Kernel->Restart\n", + "\n", + "%matplotlib inline\n", + "\n", + "from modsim import *" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "### Dropping pennies\n", + "\n", + "I'll start by getting the units we'll need from Pint." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "m = UNITS.meter\n", + "s = UNITS.second\n", + "kg = UNITS.kilogram" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "And defining the initial state." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/html": [ + "
    \n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
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    " + ], + "text/plain": [ + " y v\n", + "8.0 67.400 -78.4\n", + "8.5 26.975 -83.3\n", + "9.0 -15.900 -88.2\n", + "9.5 -61.225 -93.1\n", + "10.0 -109.000 -98.0" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "system.results.tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "The following function plots the results." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def plot_position(results):\n", + " \"\"\"Plot the results.\n", + " \n", + " results: DataFrame with position, `y`\n", + " \"\"\"\n", + " newfig()\n", + " plot(results.y, label='y')\n", + " \n", + " decorate(xlabel='Time (s)',\n", + " ylabel='Position (m)')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "Here's what it looks like." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure to file chap09-fig01.pdf\n" + ] + }, + { + "data": { + "image/png": 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QMKALfSM73P8EotVrcDAtW7asOesQQogG69zhRjv5Pg1lN9rJU05mo62sYWjf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\noUxMpvbxjJMEkxBCtEJhgV4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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_position(system.results)\n", + "savefig('chap09-fig01.pdf')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "**Exercise:** Add a print statement to `slope_func` to print the value of `t` each time it's called. What can we infer about how `odeint` works, based on the results?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It seems to almost square the time in each step." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "**Exercise:** Change the value of `dt` and run the solver again. What effect does it have on the results?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Decreasing makes the values more accurate, increasing makes them less accurate." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Onto the sidewalk\n", + "\n", + "Here's the code again to set up the `System` object." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def make_system(duration, v_init=0):\n", + " \"\"\"Make a system object.\n", + " \n", + " duration: time of simulation in seconds\n", + " v_init: initial velocity, dimensionless\n", + " \n", + " returns: System object\n", + " \"\"\"\n", + " init = State(y=381 * m, v=v_init * m / s)\n", + "\n", + " g = 9.8 * m/s**2\n", + " ts = linspace(0, duration, 11)\n", + " return System(init=init, g=g, ts=ts)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And run the simulation." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.0\n", + "0.0\n", + "1.2391823754412774e-05\n", + "1.2391823754412774e-05\n", + "2.478364750882555e-05\n", + "2.478364750882555e-05\n", + "0.12394302119163657\n", + "0.2478612587357643\n", + "0.37177949627989204\n", + "1.6109618717211696\n", + "2.850144247162447\n", + "4.089326622603725\n", + "16.481150377016498\n" + ] + }, + { + "data": { + "text/html": [ + "
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    " + ], + "text/plain": [ + " y v\n", + "0.0 381.0 0.0\n", + "1.0 376.1 -9.8\n", + "2.0 361.4 -19.6\n", + "3.0 336.9 -29.4\n", + "4.0 302.6 -39.2\n", + "5.0 258.5 -49.0\n", + "6.0 204.6 -58.8\n", + "7.0 140.9 -68.6\n", + "8.0 67.4 -78.4\n", + "9.0 -15.9 -88.2\n", + "10.0 -109.0 -98.0" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "system = make_system(10)\n", + "run_odeint(system, slope_func)\n", + "system.results" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "To figure out when the penny hit the sidewalk, we use `interp_inverse`, which return a function that maps from height to time." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "y = system.results.y\n", + "T = interp_inverse(y, kind='cubic')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "`T(0)` interpolates the time when the height was 0." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(8.81792826905006)" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "T_sidewalk = T(0)\n", + "T_sidewalk" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "We can compare that to the exact result. Without air resistance, we have\n", + "\n", + "$v = -g t$\n", + "\n", + "and\n", + "\n", + "$y = 381 - g t^2 / 2$\n", + "\n", + "Setting $y=0$ and solving for $t$ yields\n", + "\n", + "$t = \\sqrt{\\frac{2 y_{init}}{g}}$" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "8.817885349720552 second" + ], + "text/latex": [ + "$8.817885349720552\\ \\mathrm{second}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sqrt(2 * init.y / g)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "The estimate is accurate to 4 decimal places." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "We can double-check by running the simulation for the estimated flight time." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.0\n", + "0.0\n", + "1.2373598314419205e-05\n", + "1.2373598314419205e-05\n", + "2.474719662883841e-05\n", + "2.474719662883841e-05\n", + "0.1237607303408209\n", + "0.24749671348501295\n", + "0.371232696629205\n", + "1.6085925280711255\n", + "2.845952359513046\n", + "4.083312190954967\n", + "16.45691050537417\n" + ] + } + ], + "source": [ + "system = make_system(duration=T_sidewalk)\n", + "run_odeint(system, slope_func)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "And checking the final state." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def final_state(results):\n", + " \"\"\"Returns the final position and velocity, with units.\n", + " \n", + " results: TimeFrame with y and v.\n", + " \n", + " returns: y, v at t_end\n", + " \"\"\"\n", + " t_end = results.index[-1]\n", + " y, v = results.loc[t_end]\n", + " return y*m, v*m/s" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "As expected, the final height is close to 0." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "-0.003708896250259386 meter" + ], + "text/latex": [ + "$-0.003708896250259386\\ \\mathrm{meter}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_final, v_final = final_state(system.results)\n", + "y_final" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "And we can check the final velocity." + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "-86.41569703669059 meter/second" + ], + "text/latex": [ + "$-86.41569703669059\\ \\frac{\\mathrm{meter}}{\\mathrm{second}}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "v_final" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "And convert to km/h" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "-311.0965093320861 kilometer/hour" + ], + "text/latex": [ + "$-311.0965093320861\\ \\frac{\\mathrm{kilometer}}{\\mathrm{hour}}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "km = UNITS.kilometer\n", + "h = UNITS.hour\n", + "v_final.to(km / h)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "If there were no air resistance, the penny would hit the sidewalk (or someone's head) at more than 300 km/h.\n", + "\n", + "So it's a good thing there is air resistance." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** Try changing the initial velocity and see what effect it has on the time to hot the sidewalk. Sweep a range of values for the initial velocity, from 0 to 25 m/s, and plot `T_sidewalk` as a function of initial velocity. You might find the following function useful.\n", + "\n", + "Things might go horribly wrong for the larger initial velocities. What's going on?" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def flight_time(system):\n", + " \"\"\"Simulates the system and computes flight time.\n", + " \n", + " Uses cubic interpolation.\n", + " \n", + " system: System object\n", + " \n", + " returns: flight time in seconds\n", + " \"\"\"\n", + " run_odeint(system, slope_func)\n", + " y = system.results.y\n", + " inverse = Series(y.index, index=y.values)\n", + " T = interpolate(inverse, kind='cubic')\n", + " T_sidewalk = T(0)\n", + " return T_sidewalk * s" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.0\n", + "0.0\n", + "1.2391823754412774e-05\n", + "1.2391823754412774e-05\n", + "2.478364750882555e-05\n", + "2.478364750882555e-05\n", + "0.12394302119163657\n", + "0.2478612587357643\n", + "0.37177949627989204\n", + 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "duration = 10\n", + "vs = linrange(0, 25, 1)\n", + "\n", + "for v_init in vs:\n", + " system = make_system(duration, v_init)\n", + " run_odeint(system, slope_func)\n", + " y = system.results.y\n", + " inverse = Series(y.index, index=y.values)\n", + " T = interpolate(inverse, kind='cubic')\n", + " T_sidewalk = T(0)\n", + " plot(v_init, T_sidewalk, 'b')\n", + " \n", + "# Eventually the function is not one-to-one" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### With air resistance" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next we'll add air resistance using the [drag equation](https://en.wikipedia.org/wiki/Drag_equation)\n", + "\n", + "First I'll create a `Condition` object to contain the quantities we'll need." + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "condition = Condition(height = 381 * m,\n", + " v_init = 0 * m / s,\n", + " g = 9.8 * m/s**2,\n", + " mass = 2.5e-3 * kg,\n", + " diameter = 19e-3 * m,\n", + " rho = 1.2 * kg/m**3,\n", + " v_term = 18 * m / s,\n", + " duration = 30 * s)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "Now here's a version of `make_system` that takes a `Condition` object as a parameter.\n", + "\n", + "`make_system` uses the given value of `v_term` to compute the drag coefficient `C_d`." + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def make_system(condition):\n", + " \"\"\"Makes a System object for the given conditions.\n", + " \n", + " condition: Condition with height, g, mass, diameter, \n", + " rho, v_term, and duration\n", + " \n", + " returns: System with init, g, mass, rho, C_d, area, and ts\n", + " \"\"\"\n", + " unpack(condition)\n", + " \n", + " init = State(y=height, v=v_init)\n", + " area = np.pi * (diameter/2)**2\n", + " C_d = 2 * mass * g / (rho * area * v_term**2)\n", + " ts = linspace(0, duration, 101)\n", + " \n", + " return System(init=init, g=g, mass=mass, rho=rho,\n", + " C_d=C_d, area=area, ts=ts)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "Let's make a `System`" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    mass0.0025 kilogram
    rho1.2 kilogram / meter ** 3
    C_d0.4445009981135434 dimensionless
    area0.0002835287369864788 meter ** 2
    ts[0.0 second, 0.3 second, 0.6 second, 0.8999999...
    \n", + "
    " + ], + "text/plain": [ + "init y 381 meter\n", + "v 0.0 meter / secon...\n", + "g 9.8 meter / second ** 2\n", + "mass 0.0025 kilogram\n", + "rho 1.2 kilogram / meter ** 3\n", + "C_d 0.4445009981135434 dimensionless\n", + "area 0.0002835287369864788 meter ** 2\n", + "ts [0.0 second, 0.3 second, 0.6 second, 0.8999999...\n", + "dtype: object" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "system = make_system(condition)\n", + "system" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "Here's the slope function, including acceleration due to gravity and drag." + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def slope_func(state, t, system):\n", + " \"\"\"Compute derivatives of the state.\n", + " \n", + " state: position, velocity\n", + " t: time\n", + " system: System object containing g, rho,\n", + " C_d, area, and mass\n", + " \n", + " returns: derivatives of y and v\n", + " \"\"\"\n", + " y, v = state\n", + " unpack(system)\n", + " \n", + " f_drag = rho * v**2 * C_d * area / 2\n", + " a_drag = f_drag / mass\n", + " \n", + " dydt = v\n", + " dvdt = -g + a_drag\n", + " \n", + " return dydt, dvdt" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "As always, let's test the slope function with the initial conditions." + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(, )" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "slope_func(system.init, 0, system)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "And then run the simulation." + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "run_odeint(system, slope_func)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "First check that the simulation ran long enough for the penny to land." + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(,\n", + " )" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "final_state(system.results)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "Then compute the flight time." + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(22.43979420707891)" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y = system.results.y\n", + "inverse = Series(y.index, index=y.values)\n", + "T = interpolate(inverse, kind='cubic')\n", + "T_sidewalk = T(0)\n", + "T_sidewalk" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "Setting the duration to the computed flight time, we can check the final conditions." + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "condition.set(duration=T_sidewalk)\n", + "system = make_system(condition)\n", + "run_odeint(system, slope_func)\n", + "y_final, v_final = final_state(system.results)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "The final height is close to 0, as expected. And the final velocity is close to the given terminal velocity." + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(,\n", + " )" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_final, v_final" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "Here's the plot of position as a function of time." + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure to file chap09-fig02.pdf\n" + ] + }, + { + "data": { + "image/png": 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Gn9AQFwump/HU8lwSx0R1t3eXhClXSRiRYHCzHstLwK+AT1pr7U3O2w08D2CMyQc+43nu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\ni6zfaDlV3jCk8SixiIiMEGn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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_position(system.results)\n", + "savefig('chap09-fig02.pdf')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And velocity as a function of time:" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def plot_velocity(results):\n", + " \"\"\"Plot the results.\n", + " \n", + " results: DataFrame with velocity, v\n", + " \"\"\"\n", + " newfig()\n", + " plot(results.v, label='v')\n", + " \n", + " decorate(xlabel='Time (s)',\n", + " ylabel='Velocity (m/2)')" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_velocity(system.results)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "From an initial velocity of 0, the penny accelerates downward until it reaches terminal velocity; after that, velocity is constant." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** Run the simulation with an initial velocity, downward, that exceeds the penny's terminal velocity. Hint: use `condition.set`.\n", + "\n", + "What do you expect to happen? Plot velocity and position as a function of time, and see if they are consistent with your prediction." + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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ZXXazFAmElnQRGaKGD4vkngUTKSy7xK5Dpd4l+IsrLrMxN4/501KYNSWJsDD1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\nAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "condition.set(v_init = -30 * m / s)\n", + "system = make_system(condition)\n", + "run_odeint(system, slope_func)\n", + "plot_position(system.results)" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_velocity(system.results)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Dropping quarters" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Suppose we drop a quarter from the Empire State Building and find that its flight time is 19.1 seconds. We can use this measurement to estimate the coefficient of drag.\n", + "\n", + "Here's a `Condition` object with the relevant parameters from\n", + "https://en.wikipedia.org/wiki/Quarter_(United_States_coin)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "condition = Condition(height = 381 * m,\n", + " v_init = 0 * m / s,\n", + " g = 9.8 * m/s**2,\n", + " mass = 5.67e-3 * kg,\n", + " diameter = 24.26e-3 * m,\n", + " rho = 1.2 * kg/m**3,\n", + " duration = 19.1 * s)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And here's a modified version of `make_system`" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def make_system(condition):\n", + " \"\"\"Makes a System object for the given conditions.\n", + " \n", + " condition: Condition with height, v_init, g, mass, diameter, \n", + " rho, C_d, and duration\n", + " \n", + " returns: System with init, g, mass, rho, C_d, area, and ts\n", + " \"\"\"\n", + " unpack(condition)\n", + " \n", + " init = State(y=height, v=v_init)\n", + " area = np.pi * (diameter/2)**2\n", + " ts = linspace(0, duration, 101)\n", + " \n", + " return System(init=init, g=g, mass=mass, rho=rho,\n", + " C_d=C_d, area=area, ts=ts)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can run the simulation with an initial guess of `C_d=0.4`." + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "condition.set(C_d=0.4)\n", + "system = make_system(condition)\n", + "run_odeint(system, slope_func)\n", + "plot_position(system.results)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The final height is -11 meters, which means our guess was too low (we need more drag to slow the quarter down)." + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "final_state(system.results)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`height_func` takes a hypothetical value of `C_d` and returns the height after 19.1 seconds." + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def height_func(C_d, condition):\n", + " \"\"\"Final height as a function of C_d.\n", + " \n", + " C_d: drag coefficient\n", + " condition: Condition object\n", + " \n", + " returns: height in m\n", + " \"\"\"\n", + " condition.set(C_d=C_d)\n", + " system = make_system(condition)\n", + " run_odeint(system, slope_func)\n", + " y, v = final_state(system.results)\n", + " return y" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If we run it with `C_d=0.4`, we get -11 meters again." + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "height_func(0.4, condition)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we can use `fsolve` to find the value of `C_d` that makes the final height 0." + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "solution = fsolve(height_func, 0.4, condition)\n", + "solution" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plugging in the estimated value, we can run the simulation again to get terminal velocity." + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "condition.set(C_d=solution)\n", + "system = make_system(condition)\n", + "run_odeint(system, slope_func)\n", + "final_state(system.results)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this example, the terminal velocity of the quarter is higher than that of the penny, but we should not take this result seriously because the measurements we used are not real; I made them up." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python3.6", + "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": "3.6.3" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/chap09mine.org b/code/chap09mine.org new file mode 100644 index 00000000..e4c77bc5 --- /dev/null +++ b/code/chap09mine.org @@ -0,0 +1,37 @@ +#+title: Chapter 9 Notebook + +* Exercise 1 +#+BEGIN_SRC python :results output + import pint + import numpy as np + import pandas as pd + from modsim import run_odeint, linspace, unpack + + ureg = pint.UnitRegistry() + m = ureg.meter + s = ureg.second + kg = ureg.kilogram + + init = pd.Series({'y': 381 * m, 'v': 0 * m / s}) + + g = 9.8 * m / s ** 2 + duration = 10 * s + ts = linspace(0, duration, 11) + system = pd.Series({'init': init, 'g': g, 'ts': ts}) + + + def slope_func(state, t, system): + y, v = state + dydt = v + dvdt = -g + return dydt, dvdt + + + dydt, dvdt = slope_func(init, 0, system) + + run_odeint(system, slope_func) + + print(system.results.head()) +#+END_SRC + +#+RESULTS: From 7cf87988ca9c82172025811142d990f3a2dd26a5 Mon Sep 17 00:00:00 2001 From: Kawin Nikomborirak Date: Wed, 1 Nov 2017 15:56:29 +0000 Subject: [PATCH 50/51] add chap10 --- code/chap10-fig01.pdf | Bin 0 -> 12061 bytes code/chap10-fig02.pdf | Bin 0 -> 12427 bytes code/chap10-fig03.pdf | Bin 0 -> 11396 bytes code/chap10mine.ipynb | 6906 +++++++++++++++++++++++++++++++++++++++++ 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grabbing the units we'll need." + ] + }, + { + "cell_type": "code", + "execution_count": 182, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "m = UNITS.meter\n", + "s = UNITS.second\n", + "kg = UNITS.kilogram" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here's a two dimensional `Vector` in meters." + ] + }, + { + "cell_type": "code", + "execution_count": 183, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "A = Vector(3, 4) * m" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can access the elements by name." + ] + }, + { + "cell_type": "code", + "execution_count": 184, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "3.0 meter" + ], + "text/latex": [ + "$3.0\\ \\mathrm{meter}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 184, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "A.x" + ] + }, + { + "cell_type": "code", + "execution_count": 185, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "4.0 meter" + ], + "text/latex": [ + "$4.0\\ \\mathrm{meter}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 185, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "A.y" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The magnitude is the length of the vector." + ] + }, + { + "cell_type": "code", + "execution_count": 186, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "5.0 meter" + ], + "text/latex": [ + "$5.0\\ \\mathrm{meter}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 186, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "A.mag" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The angle is the number of radians between the vector and the positive x axis." + ] + }, + { + "cell_type": "code", + "execution_count": 187, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "0.9272952180016122 radian" + ], + "text/latex": [ + "$0.9272952180016122\\ \\mathrm{radian}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 187, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "A.angle" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If we make another `Vector` with the same units," + ] + }, + { + "cell_type": "code", + "execution_count": 188, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "B = Vector(1, 2) * m" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can add `Vector` objects like this" + ] + }, + { + "cell_type": "code", + "execution_count": 189, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\\[\\begin{pmatrix}4.0 & 6.0\\end{pmatrix} meter\\]" + ], + "text/latex": [ + "$\\begin{pmatrix}4.0 & 6.0\\end{pmatrix}\\ \\mathrm{meter}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 189, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "A + B" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And substract like this:" + ] + }, + { + "cell_type": "code", + "execution_count": 190, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\\[\\begin{pmatrix}2.0 & 2.0\\end{pmatrix} meter\\]" + ], + "text/latex": [ + "$\\begin{pmatrix}2.0 & 2.0\\end{pmatrix}\\ \\mathrm{meter}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 190, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "A - B" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can compute the Euclidean distance between two Vectors." + ] + }, + { + "cell_type": "code", + "execution_count": 191, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "2.8284271247461903 meter" + ], + "text/latex": [ + "$2.8284271247461903\\ \\mathrm{meter}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 191, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "A.dist(B)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And the difference in angle" + ] + }, + { + "cell_type": "code", + "execution_count": 192, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "-0.17985349979247822 radian" + ], + "text/latex": [ + "$-0.17985349979247822\\ \\mathrm{radian}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 192, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "A.diff_angle(B)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If we are given the magnitude and angle of a vector, what we have is the representation of the vector in polar coordinates." + ] + }, + { + "cell_type": "code", + "execution_count": 193, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "mag = A.mag\n", + "angle = A.angle" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can use `pol2cart` to convert from polar to Cartesian coordinates, and then use the Cartesian coordinates to make a `Vector` object.\n", + "\n", + "In this example, the `Vector` we get should have the same components as `A`." + ] + }, + { + "cell_type": "code", + "execution_count": 194, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\\[\\begin{pmatrix}3.0000000000000004 & 3.9999999999999996\\end{pmatrix} meter\\]" + ], + "text/latex": [ + "$\\begin{pmatrix}3.0000000000000004 & 3.9999999999999996\\end{pmatrix}\\ \\mathrm{meter}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 194, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x, y = pol2cart(angle, mag)\n", + "Vector(x, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** Create a `Vector` named `a_grav` that represents acceleration due to gravity, with x component 0 and y component $-9.8$ meters / second$^2$." + ] + }, + { + "cell_type": "code", + "execution_count": 195, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "a_grav = Vector(0, -9.8) * m / s ** 2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Degrees and radians\n", + "\n", + "Pint provides units to represent degree and radians." + ] + }, + { + "cell_type": "code", + "execution_count": 196, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "degree = UNITS.degree\n", + "radian = UNITS.radian" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If you have an angle in degrees," + ] + }, + { + "cell_type": "code", + "execution_count": 197, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "45 degree" + ], + "text/latex": [ + "$45\\ \\mathrm{degree}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 197, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "angle = 45 * degree\n", + "angle" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can convert to radians." + ] + }, + { + "cell_type": "code", + "execution_count": 198, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "0.7853981633974483 radian" + ], + "text/latex": [ + "$0.7853981633974483\\ \\mathrm{radian}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 198, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "angle_rad = angle.to(radian)\n", + "angle_rad" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If it's already in radians, `to` does the right thing." + ] + }, + { + "cell_type": "code", + "execution_count": 199, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "0.7853981633974483 radian" + ], + "text/latex": [ + "$0.7853981633974483\\ \\mathrm{radian}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 199, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "angle_rad.to(radian)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can also convert from radians to degrees." + ] + }, + { + "cell_type": "code", + "execution_count": 200, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "45.0 degree" + ], + "text/latex": [ + "$45.0\\ \\mathrm{degree}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 200, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "angle_rad.to(degree)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As an alterative, you can use `np.deg2rad`, which works with Pint quantities, but it also works with simple numbers and NumPy arrays:" + ] + }, + { + "cell_type": "code", + "execution_count": 201, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "0.7853981633974483 radian" + ], + "text/latex": [ + "$0.7853981633974483\\ \\mathrm{radian}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 201, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.deg2rad(angle)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** Create a `Vector` named `a_force` that represents acceleration due to a force of 0.5 Newton applied to an object with mass 0.3 kilograms, in a direction 45 degrees up from the positive x-axis.\n", + "\n", + "Add `a_force` to `a_drag` from the previous exercise. If that addition succeeds, that means that the units are compatible. Confirm that the total acceleration seems to make sense." + ] + }, + { + "cell_type": "code", + "execution_count": 202, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "a_force = Vector(2 ** 0.5 / 2, 2 ** 0.5 / 2) * 0.5 / 0.3 * m / s ** 2" + ] + }, + { + "cell_type": "code", + "execution_count": 203, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\\[\\begin{pmatrix}1.1785113019775793 & -8.621488698022421\\end{pmatrix} meter/second2\\]" + ], + "text/latex": [ + "$\\begin{pmatrix}1.1785113019775793 & -8.621488698022421\\end{pmatrix}\\ \\frac{\\mathrm{meter}}{\\mathrm{second}^{2}}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 203, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_force + a_grav" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Baseball" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here's a `Condition` object that contains the parameters for the Manny Ramirez problem." + ] + }, + { + "cell_type": "code", + "execution_count": 204, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "condition = Condition(x = 0 * m, \n", + " y = 1 * m,\n", + " g = 9.8 * m/s**2,\n", + " mass = 145e-3 * kg,\n", + " diameter = 73e-3 * m,\n", + " rho = 1.2 * kg/m**3,\n", + " C_d = 0.3,\n", + " angle = 45 * degree,\n", + " velocity = 40 * m / s,\n", + " duration = 5.1 * s)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And here's the function that uses the `Condition` object to make a `System` object." + ] + }, + { + "cell_type": "code", + "execution_count": 205, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def make_system(condition):\n", + " \"\"\"Make a system object.\n", + " \n", + " condition: Condition object with angle, velocity, x, y,\n", + " diameter, duration, g, mass, rho, and C_d\n", + " \n", + " returns: System object\n", + " \"\"\"\n", + " unpack(condition)\n", + " \n", + " # convert angle to degrees\n", + " theta = np.deg2rad(angle)\n", + " \n", + " # compute x and y components of velocity\n", + " vx, vy = pol2cart(theta, velocity)\n", + " \n", + " # make the initial state\n", + " init = State(x=x, y=y, vx=vx, vy=vy)\n", + " \n", + " # compute area from diameter\n", + " area = np.pi * (diameter/2)**2\n", + " \n", + " # compute timestamps\n", + " ts = linspace(0, duration, 101)\n", + " \n", + " return System(init=init, g=g, mass=mass, \n", + " area=area, rho=rho, C_d=C_d, ts=ts)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here's how we use it:" + ] + }, + { + "cell_type": "code", + "execution_count": 206, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    value
    initx 0 meter\n", + "y ...
    g9.8 meter / second ** 2
    mass0.145 kilogram
    area0.004185386812745002 meter ** 2
    rho1.2 kilogram / meter ** 3
    C_d0.3
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    \n", + "
    " + ], + "text/plain": [ + "init x 0 meter\n", + "y ...\n", + "g 9.8 meter / second ** 2\n", + "mass 0.145 kilogram\n", + "area 0.004185386812745002 meter ** 2\n", + "rho 1.2 kilogram / meter ** 3\n", + "C_d 0.3\n", + "ts [0.0 second, 0.051 second, 0.102 second, 0.153...\n", + "dtype: object" + ] + }, + "execution_count": 206, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "system = make_system(condition)\n", + "system" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here's the slope function that computes acceleration due to gravity and drag." + ] + }, + { + "cell_type": "code", + "execution_count": 207, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def slope_func(state, t, system):\n", + " \"\"\"Computes derivatives of the state variables.\n", + " \n", + " state: State (x, y, x velocity, y velocity)\n", + " t: time\n", + " system: System object with g, rho, C_d, area, mass\n", + " \n", + " returns: sequence (vx, vy, ax, ay)\n", + " \"\"\"\n", + " x, y, vx, vy = state\n", + " unpack(system)\n", + " \n", + " a_grav = Vector(0, -g)\n", + "\n", + " v = Vector(vx, vy)\n", + " \n", + " f_drag = -rho * v.mag * v * C_d * area / 2\n", + " a_drag = f_drag / mass\n", + " \n", + " a = a_grav + a_drag\n", + " \n", + " return vx, vy, a.x, a.y" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Always test the slope function with the initial conditions." + ] + }, + { + "cell_type": "code", + "execution_count": 208, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(,\n", + " ,\n", + " ,\n", + " )" + ] + }, + "execution_count": 208, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "slope_func(system.init, 0, system)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we can run `odeint`" + ] + }, + { + "cell_type": "code", + "execution_count": 209, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "run_odeint(system, slope_func)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here are the first few time steps." + ] + }, + { + "cell_type": "code", + "execution_count": 210, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    xyvxvy
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    0.0511.4349292.42222927.98892427.491730
    0.1022.8550173.80438927.70222626.712880
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    " + ], + "text/plain": [ + " x y vx vy\n", + "0.000 0.000000 1.000000 28.284271 28.284271\n", + "0.051 1.434929 2.422229 27.988924 27.491730\n", + "0.102 2.855017 3.804389 27.702226 26.712880\n", + "0.153 4.260697 5.147165 27.423836 25.947141\n", + "0.204 5.652384 6.451211 27.153433 25.193958" + ] + }, + "execution_count": 210, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "system.results.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And the last few. The last value of `y` is negative, indicating that the ball hit the ground before the end of the simulation." + ] + }, + { + "cell_type": "code", + "execution_count": 211, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
    \n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
    xyvxvy
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    " + ], + "text/plain": [ + " x y vx vy\n", + "4.896 100.274761 3.580383 15.135822 -21.336469\n", + "4.947 101.044011 2.483281 15.030816 -21.686507\n", + "4.998 101.807902 1.368423 14.925643 -22.032810\n", + "5.049 102.566424 0.235998 14.820318 -22.375365\n", + "5.100 103.319572 -0.913800 14.714856 -22.714157" + ] + }, + "execution_count": 211, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "system.results.tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Visualizing the results\n", + "\n", + "We can extract the x and y components as `Series` objects." + ] + }, + { + "cell_type": "code", + "execution_count": 212, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "xs = system.results.x\n", + "ys = system.results.y" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The simplest way to visualize the results is to plot x and y as functions of time." + ] + }, + { + "cell_type": "code", + "execution_count": 213, + "metadata": {}, + "outputs": [ + { + "data": { + "application/javascript": [ + "/* Put everything inside the global mpl namespace */\n", + "window.mpl = {};\n", + "\n", + "\n", + "mpl.get_websocket_type = function() {\n", + " if (typeof(WebSocket) !== 'undefined') {\n", + " return WebSocket;\n", + " } else if (typeof(MozWebSocket) !== 'undefined') {\n", + " return MozWebSocket;\n", + " } else {\n", + " alert('Your browser does not have WebSocket support.' +\n", + " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", + " 'Firefox 4 and 5 are also supported but you ' +\n", + " 'have to enable WebSockets in about:config.');\n", + " };\n", + "}\n", + "\n", + "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", + " this.id = figure_id;\n", + "\n", + " this.ws = websocket;\n", + "\n", + " this.supports_binary = (this.ws.binaryType != undefined);\n", + "\n", + " if (!this.supports_binary) {\n", + " var warnings = document.getElementById(\"mpl-warnings\");\n", + " if (warnings) {\n", + " warnings.style.display = 'block';\n", + " warnings.textContent = (\n", + " \"This browser does not support binary websocket messages. \" +\n", + " \"Performance may be slow.\");\n", + " }\n", + " }\n", + "\n", + " this.imageObj = new Image();\n", + "\n", + " this.context = undefined;\n", + " this.message = undefined;\n", + " this.canvas = undefined;\n", + " this.rubberband_canvas = undefined;\n", + " this.rubberband_context = undefined;\n", + " this.format_dropdown = undefined;\n", + "\n", + " this.image_mode = 'full';\n", + "\n", + " this.root = $('
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    ');\n", + " var titletext = $(\n", + " '
    ');\n", + " titlebar.append(titletext)\n", + " this.root.append(titlebar);\n", + " this.header = titletext[0];\n", + "}\n", + "\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._init_canvas = function() {\n", + " var fig = this;\n", + "\n", + " var canvas_div = $('
    ');\n", + "\n", + " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", + "\n", + " function canvas_keyboard_event(event) {\n", + " return fig.key_event(event, event['data']);\n", + " }\n", + "\n", + " canvas_div.keydown('key_press', canvas_keyboard_event);\n", + " canvas_div.keyup('key_release', canvas_keyboard_event);\n", + " this.canvas_div = canvas_div\n", + " this._canvas_extra_style(canvas_div)\n", + " this.root.append(canvas_div);\n", + "\n", + " var canvas = $('');\n", + " canvas.addClass('mpl-canvas');\n", + " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", + "\n", + " this.canvas = canvas[0];\n", + " this.context = canvas[0].getContext(\"2d\");\n", + "\n", + " var backingStore = this.context.backingStorePixelRatio ||\n", + "\tthis.context.webkitBackingStorePixelRatio ||\n", + "\tthis.context.mozBackingStorePixelRatio ||\n", + "\tthis.context.msBackingStorePixelRatio ||\n", + "\tthis.context.oBackingStorePixelRatio ||\n", + "\tthis.context.backingStorePixelRatio || 1;\n", + "\n", + " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n", + "\n", + " var rubberband = $('');\n", + " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", + "\n", + " var pass_mouse_events = true;\n", + "\n", + " canvas_div.resizable({\n", + " start: function(event, ui) {\n", + " pass_mouse_events = false;\n", + " },\n", + " resize: function(event, ui) {\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " stop: function(event, ui) {\n", + " pass_mouse_events = true;\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " });\n", + "\n", + " function mouse_event_fn(event) {\n", + " if (pass_mouse_events)\n", + " return fig.mouse_event(event, event['data']);\n", + " }\n", + "\n", + " rubberband.mousedown('button_press', mouse_event_fn);\n", + " rubberband.mouseup('button_release', mouse_event_fn);\n", + " // Throttle sequential mouse events to 1 every 20ms.\n", + " rubberband.mousemove('motion_notify', mouse_event_fn);\n", + "\n", + " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", + " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", + "\n", + " canvas_div.on(\"wheel\", function (event) {\n", + " event = event.originalEvent;\n", + " event['data'] = 'scroll'\n", + " if (event.deltaY < 0) {\n", + " event.step = 1;\n", + " } else {\n", + " event.step = -1;\n", + " }\n", + " mouse_event_fn(event);\n", + " });\n", + "\n", + " canvas_div.append(canvas);\n", + " canvas_div.append(rubberband);\n", + "\n", + " this.rubberband = rubberband;\n", + " this.rubberband_canvas = rubberband[0];\n", + " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", + " this.rubberband_context.strokeStyle = \"#000000\";\n", + "\n", + " this._resize_canvas = function(width, height) {\n", + " // Keep the size of the canvas, canvas container, and rubber band\n", + " // canvas in synch.\n", + " canvas_div.css('width', width)\n", + " canvas_div.css('height', height)\n", + "\n", + " canvas.attr('width', width * mpl.ratio);\n", + " canvas.attr('height', height * mpl.ratio);\n", + " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n", + "\n", + " rubberband.attr('width', width);\n", + " rubberband.attr('height', height);\n", + " }\n", + "\n", + " // Set the figure to an initial 600x600px, this will subsequently be updated\n", + " // upon first draw.\n", + " this._resize_canvas(600, 600);\n", + "\n", + " // Disable right mouse context menu.\n", + " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", + " return false;\n", + " });\n", + "\n", + " function set_focus () {\n", + " canvas.focus();\n", + " canvas_div.focus();\n", + " }\n", + "\n", + " window.setTimeout(set_focus, 100);\n", + "}\n", + "\n", + "mpl.figure.prototype._init_toolbar = function() {\n", + " var fig = this;\n", + "\n", + " var nav_element = $('
    ')\n", + " nav_element.attr('style', 'width: 100%');\n", + " this.root.append(nav_element);\n", + "\n", + " // Define a callback function for later on.\n", + " function toolbar_event(event) {\n", + " return fig.toolbar_button_onclick(event['data']);\n", + " }\n", + " function toolbar_mouse_event(event) {\n", + " return fig.toolbar_button_onmouseover(event['data']);\n", + " }\n", + "\n", + " for(var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " // put a spacer in here.\n", + " continue;\n", + " }\n", + " var button = $('');\n", + " button.click(method_name, toolbar_event);\n", + " button.mouseover(tooltip, toolbar_mouse_event);\n", + " nav_element.append(button);\n", + " }\n", + "\n", + " // Add the status bar.\n", + " var status_bar = $('');\n", + " nav_element.append(status_bar);\n", + " this.message = status_bar[0];\n", + "\n", + " // Add the close button to the window.\n", + " var buttongrp = $('
    ');\n", + " var button = $('');\n", + " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", + " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", + " buttongrp.append(button);\n", + " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", + " titlebar.prepend(buttongrp);\n", + "}\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(el){\n", + " var fig = this\n", + " el.on(\"remove\", function(){\n", + "\tfig.close_ws(fig, {});\n", + " });\n", + "}\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(el){\n", + " // this is important to make the div 'focusable\n", + " el.attr('tabindex', 0)\n", + " // reach out to IPython and tell the keyboard manager to turn it's self\n", + " // off when our div gets focus\n", + "\n", + " // location in version 3\n", + " if (IPython.notebook.keyboard_manager) {\n", + " IPython.notebook.keyboard_manager.register_events(el);\n", + " }\n", + " else {\n", + " // location in version 2\n", + " IPython.keyboard_manager.register_events(el);\n", + " }\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._key_event_extra = function(event, name) {\n", + " var manager = IPython.notebook.keyboard_manager;\n", + " if (!manager)\n", + " manager = IPython.keyboard_manager;\n", + "\n", + " // Check for shift+enter\n", + " if (event.shiftKey && event.which == 13) {\n", + " this.canvas_div.blur();\n", + " event.shiftKey = false;\n", + " // Send a \"J\" for go to next cell\n", + " event.which = 74;\n", + " event.keyCode = 74;\n", + " manager.command_mode();\n", + " manager.handle_keydown(event);\n", + " }\n", + "}\n", + "\n", + "mpl.figure.prototype.handle_save = function(fig, msg) {\n", + " fig.ondownload(fig, null);\n", + "}\n", + "\n", + "\n", + "mpl.find_output_cell = function(html_output) {\n", + " // Return the cell and output element which can be found *uniquely* in the notebook.\n", + " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", + " // IPython event is triggered only after the cells have been serialised, which for\n", + " // our purposes (turning an active figure into a static one), is too late.\n", + " var cells = IPython.notebook.get_cells();\n", + " var ncells = cells.length;\n", + " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", + " data = data.data;\n", + " }\n", + " if (data['text/html'] == html_output) {\n", + " return [cell, data, j];\n", + " }\n", + " }\n", + " }\n", + " }\n", + "}\n", + "\n", + "// Register the function which deals with the matplotlib target/channel.\n", + "// The kernel may be null if the page has been refreshed.\n", + "if (IPython.notebook.kernel != null) {\n", + " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", + "}\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "newfig()\n", + "plot(vxs, label='vx')\n", + "plot(vys, label='vy')\n", + "\n", + "decorate(xlabel='Time (s)',\n", + " ylabel='Velocity (m/s)')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Another way to visualize the results is to plot y versus x. The result is the trajectory of the ball through its plane of motion." + ] + }, + { + "cell_type": "code", + "execution_count": 216, + "metadata": {}, + "outputs": [ + { + "data": { + "application/javascript": [ + "/* Put everything inside the global mpl namespace */\n", + "window.mpl = {};\n", + "\n", + "\n", + "mpl.get_websocket_type = function() {\n", + " if (typeof(WebSocket) !== 'undefined') {\n", + " return WebSocket;\n", + " } else if (typeof(MozWebSocket) !== 'undefined') {\n", + " return MozWebSocket;\n", + " } else {\n", + " alert('Your browser does not have WebSocket support.' +\n", + " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", + " 'Firefox 4 and 5 are also supported but you ' +\n", + " 'have to enable WebSockets in about:config.');\n", + " };\n", + "}\n", + "\n", + "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", + " this.id = figure_id;\n", + "\n", + " this.ws = websocket;\n", + "\n", + " this.supports_binary = (this.ws.binaryType != undefined);\n", + "\n", + " if (!this.supports_binary) {\n", + " var warnings = document.getElementById(\"mpl-warnings\");\n", + " if (warnings) {\n", + " warnings.style.display = 'block';\n", + " warnings.textContent = (\n", + " \"This browser does not support binary websocket messages. \" +\n", + " \"Performance may be slow.\");\n", + " }\n", + " }\n", + "\n", + " this.imageObj = new Image();\n", + "\n", + " this.context = undefined;\n", + " this.message = undefined;\n", + " this.canvas = undefined;\n", + " this.rubberband_canvas = undefined;\n", + " this.rubberband_context = undefined;\n", + " this.format_dropdown = undefined;\n", + "\n", + " this.image_mode = 'full';\n", + "\n", + " this.root = $('
    ');\n", + " this._root_extra_style(this.root)\n", + " this.root.attr('style', 'display: inline-block');\n", + "\n", + " $(parent_element).append(this.root);\n", + "\n", + " this._init_header(this);\n", + " this._init_canvas(this);\n", + " this._init_toolbar(this);\n", + "\n", + " var fig = this;\n", + "\n", + " this.waiting = false;\n", + "\n", + " this.ws.onopen = function () {\n", + " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", + " fig.send_message(\"send_image_mode\", {});\n", + " if (mpl.ratio != 1) {\n", + " fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n", + " }\n", + " fig.send_message(\"refresh\", {});\n", + " }\n", + "\n", + " this.imageObj.onload = function() {\n", + " if (fig.image_mode == 'full') {\n", + " // Full images could contain transparency (where diff images\n", + " // almost always do), so we need to clear the canvas so that\n", + " // there is no ghosting.\n", + " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", + " }\n", + " fig.context.drawImage(fig.imageObj, 0, 0);\n", + " };\n", + "\n", + " this.imageObj.onunload = function() {\n", + " fig.ws.close();\n", + " }\n", + "\n", + " this.ws.onmessage = this._make_on_message_function(this);\n", + "\n", + " this.ondownload = ondownload;\n", + "}\n", + "\n", + "mpl.figure.prototype._init_header = function() {\n", + " var titlebar = $(\n", + " '
    ');\n", + " var titletext = $(\n", + " '
    ');\n", + " titlebar.append(titletext)\n", + " this.root.append(titlebar);\n", + " this.header = titletext[0];\n", + "}\n", + "\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._init_canvas = function() {\n", + " var fig = this;\n", + "\n", + " var canvas_div = $('
    ');\n", + "\n", + " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", + "\n", + " function canvas_keyboard_event(event) {\n", + " return fig.key_event(event, event['data']);\n", + " }\n", + "\n", + " canvas_div.keydown('key_press', canvas_keyboard_event);\n", + " canvas_div.keyup('key_release', canvas_keyboard_event);\n", + " this.canvas_div = canvas_div\n", + " this._canvas_extra_style(canvas_div)\n", + " this.root.append(canvas_div);\n", + "\n", + " var canvas = $('');\n", + " canvas.addClass('mpl-canvas');\n", + " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", + "\n", + " this.canvas = canvas[0];\n", + " this.context = canvas[0].getContext(\"2d\");\n", + "\n", + " var backingStore = this.context.backingStorePixelRatio ||\n", + "\tthis.context.webkitBackingStorePixelRatio ||\n", + "\tthis.context.mozBackingStorePixelRatio ||\n", + "\tthis.context.msBackingStorePixelRatio ||\n", + "\tthis.context.oBackingStorePixelRatio ||\n", + "\tthis.context.backingStorePixelRatio || 1;\n", + "\n", + " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n", + "\n", + " var rubberband = $('');\n", + " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", + "\n", + " var pass_mouse_events = true;\n", + "\n", + " canvas_div.resizable({\n", + " start: function(event, ui) {\n", + " pass_mouse_events = false;\n", + " },\n", + " resize: function(event, ui) {\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " stop: function(event, ui) {\n", + " pass_mouse_events = true;\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " });\n", + "\n", + " function mouse_event_fn(event) {\n", + " if (pass_mouse_events)\n", + " return fig.mouse_event(event, event['data']);\n", + " }\n", + "\n", + " rubberband.mousedown('button_press', mouse_event_fn);\n", + " rubberband.mouseup('button_release', mouse_event_fn);\n", + " // Throttle sequential mouse events to 1 every 20ms.\n", + " rubberband.mousemove('motion_notify', mouse_event_fn);\n", + "\n", + " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", + " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", + "\n", + " canvas_div.on(\"wheel\", function (event) {\n", + " event = event.originalEvent;\n", + " event['data'] = 'scroll'\n", + " if (event.deltaY < 0) {\n", + " event.step = 1;\n", + " } else {\n", + " event.step = -1;\n", + " }\n", + " mouse_event_fn(event);\n", + " });\n", + "\n", + " canvas_div.append(canvas);\n", + " canvas_div.append(rubberband);\n", + "\n", + " this.rubberband = rubberband;\n", + " this.rubberband_canvas = rubberband[0];\n", + " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", + " this.rubberband_context.strokeStyle = \"#000000\";\n", + "\n", + " this._resize_canvas = function(width, height) {\n", + " // Keep the size of the canvas, canvas container, and rubber band\n", + " // canvas in synch.\n", + " canvas_div.css('width', width)\n", + " canvas_div.css('height', height)\n", + "\n", + " canvas.attr('width', width * mpl.ratio);\n", + " canvas.attr('height', height * mpl.ratio);\n", + " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n", + "\n", + " rubberband.attr('width', width);\n", + " rubberband.attr('height', height);\n", + " }\n", + "\n", + " // Set the figure to an initial 600x600px, this will subsequently be updated\n", + " // upon first draw.\n", + " this._resize_canvas(600, 600);\n", + "\n", + " // Disable right mouse context menu.\n", + " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", + " return false;\n", + " });\n", + "\n", + " function set_focus () {\n", + " canvas.focus();\n", + " canvas_div.focus();\n", + " }\n", + "\n", + " window.setTimeout(set_focus, 100);\n", + "}\n", + "\n", + "mpl.figure.prototype._init_toolbar = function() {\n", + " var fig = this;\n", + "\n", + " var nav_element = $('
    ')\n", + " nav_element.attr('style', 'width: 100%');\n", + " this.root.append(nav_element);\n", + "\n", + " // Define a callback function for later on.\n", + " function toolbar_event(event) {\n", + " return fig.toolbar_button_onclick(event['data']);\n", + " }\n", + " function toolbar_mouse_event(event) {\n", + " return fig.toolbar_button_onmouseover(event['data']);\n", + " }\n", + "\n", + " for(var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " // put a spacer in here.\n", + " continue;\n", + " }\n", + " var button = $('');\n", + " button.click(method_name, toolbar_event);\n", + " button.mouseover(tooltip, toolbar_mouse_event);\n", + " nav_element.append(button);\n", + " }\n", + "\n", + " // Add the status bar.\n", + " var status_bar = $('');\n", + " nav_element.append(status_bar);\n", + " this.message = status_bar[0];\n", + "\n", + " // Add the close button to the window.\n", + " var buttongrp = $('
    ');\n", + " var button = $('');\n", + " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", + " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", + " buttongrp.append(button);\n", + " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", + " titlebar.prepend(buttongrp);\n", + "}\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(el){\n", + " var fig = this\n", + " el.on(\"remove\", function(){\n", + "\tfig.close_ws(fig, {});\n", + " });\n", + "}\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(el){\n", + " // this is important to make the div 'focusable\n", + " el.attr('tabindex', 0)\n", + " // reach out to IPython and tell the keyboard manager to turn it's self\n", + " // off when our div gets focus\n", + "\n", + " // location in version 3\n", + " if (IPython.notebook.keyboard_manager) {\n", + " IPython.notebook.keyboard_manager.register_events(el);\n", + " }\n", + " else {\n", + " // location in version 2\n", + " IPython.keyboard_manager.register_events(el);\n", + " }\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._key_event_extra = function(event, name) {\n", + " var manager = IPython.notebook.keyboard_manager;\n", + " if (!manager)\n", + " manager = IPython.keyboard_manager;\n", + "\n", + " // Check for shift+enter\n", + " if (event.shiftKey && event.which == 13) {\n", + " this.canvas_div.blur();\n", + " event.shiftKey = false;\n", + " // Send a \"J\" for go to next cell\n", + " event.which = 74;\n", + " event.keyCode = 74;\n", + " manager.command_mode();\n", + " manager.handle_keydown(event);\n", + " }\n", + "}\n", + "\n", + "mpl.figure.prototype.handle_save = function(fig, msg) {\n", + " fig.ondownload(fig, null);\n", + "}\n", + "\n", + "\n", + "mpl.find_output_cell = function(html_output) {\n", + " // Return the cell and output element which can be found *uniquely* in the notebook.\n", + " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", + " // IPython event is triggered only after the cells have been serialised, which for\n", + " // our purposes (turning an active figure into a static one), is too late.\n", + " var cells = IPython.notebook.get_cells();\n", + " var ncells = cells.length;\n", + " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", + " data = data.data;\n", + " }\n", + " if (data['text/html'] == html_output) {\n", + " return [cell, data, j];\n", + " }\n", + " }\n", + " }\n", + " }\n", + "}\n", + "\n", + "// Register the function which deals with the matplotlib target/channel.\n", + "// The kernel may be null if the page has been refreshed.\n", + "if (IPython.notebook.kernel != null) {\n", + " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", + "}\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "newfig()\n", + "decorate(xlabel='x position (m)',\n", + " ylabel='y position (m)',\n", + " xlim=[0, 105],\n", + " ylim=[-5, 35],\n", + " legend=False)\n", + "\n", + "for x, y in zip(xs, ys):\n", + " plot(x, y, 'bo', update=True)\n", + " sleep(0.01)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here's a function that encapsulates that code and runs the animation in (approximately) real time." + ] + }, + { + "cell_type": "code", + "execution_count": 218, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def animate2d(xs, ys, speedup=1):\n", + " \"\"\"Animate the results of a projectile simulation.\n", + " \n", + " xs: x position as a function of time\n", + " ys: y position as a function of time\n", + " \n", + " speedup: how much to divide `dt` by\n", + " \"\"\"\n", + " # get the time intervals between elements\n", + " ts = xs.index\n", + " dts = np.diff(ts)\n", + " dts = np.append(dts, 0)\n", + "\n", + " # decorate the plot\n", + " newfig()\n", + " decorate(xlabel='x position (m)',\n", + " ylabel='y position (m)',\n", + " xlim=[xs.min(), xs.max()],\n", + " ylim=[ys.min(), ys.max()],\n", + " legend=False)\n", + "\n", + " # loop through the values\n", + " for x, y, dt in zip(xs, ys, dts):\n", + " plot(x, y, 'bo', update=True)\n", + " sleep(dt / speedup)" + ] + }, + { + "cell_type": "code", + "execution_count": 219, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "application/javascript": [ + "/* Put everything inside the global mpl namespace */\n", + "window.mpl = {};\n", + "\n", + "\n", + "mpl.get_websocket_type = function() {\n", + " if (typeof(WebSocket) !== 'undefined') {\n", + " return WebSocket;\n", + " } else if (typeof(MozWebSocket) !== 'undefined') {\n", + " return MozWebSocket;\n", + " } else {\n", + " alert('Your browser does not have WebSocket support.' +\n", + " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", + " 'Firefox 4 and 5 are also supported but you ' +\n", + " 'have to enable WebSockets in about:config.');\n", + " };\n", + "}\n", + "\n", + "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", + " this.id = figure_id;\n", + "\n", + " this.ws = websocket;\n", + "\n", + " this.supports_binary = (this.ws.binaryType != undefined);\n", + "\n", + " if (!this.supports_binary) {\n", + " var warnings = document.getElementById(\"mpl-warnings\");\n", + " if (warnings) {\n", + " warnings.style.display = 'block';\n", + " warnings.textContent = (\n", + " \"This browser does not support binary websocket messages. \" +\n", + " \"Performance may be slow.\");\n", + " }\n", + " }\n", + "\n", + " this.imageObj = new Image();\n", + "\n", + " this.context = undefined;\n", + " this.message = undefined;\n", + " this.canvas = undefined;\n", + " this.rubberband_canvas = undefined;\n", + " this.rubberband_context = undefined;\n", + " this.format_dropdown = undefined;\n", + "\n", + " this.image_mode = 'full';\n", + "\n", + " this.root = $('
    ');\n", + " this._root_extra_style(this.root)\n", + " this.root.attr('style', 'display: inline-block');\n", + "\n", + " $(parent_element).append(this.root);\n", + "\n", + " this._init_header(this);\n", + " this._init_canvas(this);\n", + " this._init_toolbar(this);\n", + "\n", + " var fig = this;\n", + "\n", + " this.waiting = false;\n", + "\n", + " this.ws.onopen = function () {\n", + " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", + " fig.send_message(\"send_image_mode\", {});\n", + " if (mpl.ratio != 1) {\n", + " fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n", + " }\n", + " fig.send_message(\"refresh\", {});\n", + " }\n", + "\n", + " this.imageObj.onload = function() {\n", + " if (fig.image_mode == 'full') {\n", + " // Full images could contain transparency (where diff images\n", + " // almost always do), so we need to clear the canvas so that\n", + " // there is no ghosting.\n", + " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", + " }\n", + " fig.context.drawImage(fig.imageObj, 0, 0);\n", + " };\n", + "\n", + " this.imageObj.onunload = function() {\n", + " fig.ws.close();\n", + " }\n", + "\n", + " this.ws.onmessage = this._make_on_message_function(this);\n", + "\n", + " this.ondownload = ondownload;\n", + "}\n", + "\n", + "mpl.figure.prototype._init_header = function() {\n", + " var titlebar = $(\n", + " '
    ');\n", + " var titletext = $(\n", + " '
    ');\n", + " titlebar.append(titletext)\n", + " this.root.append(titlebar);\n", + " this.header = titletext[0];\n", + "}\n", + "\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._init_canvas = function() {\n", + " var fig = this;\n", + "\n", + " var canvas_div = $('
    ');\n", + "\n", + " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", + "\n", + " function canvas_keyboard_event(event) {\n", + " return fig.key_event(event, event['data']);\n", + " }\n", + "\n", + " canvas_div.keydown('key_press', canvas_keyboard_event);\n", + " canvas_div.keyup('key_release', canvas_keyboard_event);\n", + " this.canvas_div = canvas_div\n", + " this._canvas_extra_style(canvas_div)\n", + " this.root.append(canvas_div);\n", + "\n", + " var canvas = $('');\n", + " canvas.addClass('mpl-canvas');\n", + " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", + "\n", + " this.canvas = canvas[0];\n", + " this.context = canvas[0].getContext(\"2d\");\n", + "\n", + " var backingStore = this.context.backingStorePixelRatio ||\n", + "\tthis.context.webkitBackingStorePixelRatio ||\n", + "\tthis.context.mozBackingStorePixelRatio ||\n", + "\tthis.context.msBackingStorePixelRatio ||\n", + "\tthis.context.oBackingStorePixelRatio ||\n", + "\tthis.context.backingStorePixelRatio || 1;\n", + "\n", + " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n", + "\n", + " var rubberband = $('');\n", + " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", + "\n", + " var pass_mouse_events = true;\n", + "\n", + " canvas_div.resizable({\n", + " start: function(event, ui) {\n", + " pass_mouse_events = false;\n", + " },\n", + " resize: function(event, ui) {\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " stop: function(event, ui) {\n", + " pass_mouse_events = true;\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " });\n", + "\n", + " function mouse_event_fn(event) {\n", + " if (pass_mouse_events)\n", + " return fig.mouse_event(event, event['data']);\n", + " }\n", + "\n", + " rubberband.mousedown('button_press', mouse_event_fn);\n", + " rubberband.mouseup('button_release', mouse_event_fn);\n", + " // Throttle sequential mouse events to 1 every 20ms.\n", + " rubberband.mousemove('motion_notify', mouse_event_fn);\n", + "\n", + " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", + " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", + "\n", + " canvas_div.on(\"wheel\", function (event) {\n", + " event = event.originalEvent;\n", + " event['data'] = 'scroll'\n", + " if (event.deltaY < 0) {\n", + " event.step = 1;\n", + " } else {\n", + " event.step = -1;\n", + " }\n", + " mouse_event_fn(event);\n", + " });\n", + "\n", + " canvas_div.append(canvas);\n", + " canvas_div.append(rubberband);\n", + "\n", + " this.rubberband = rubberband;\n", + " this.rubberband_canvas = rubberband[0];\n", + " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", + " this.rubberband_context.strokeStyle = \"#000000\";\n", + "\n", + " this._resize_canvas = function(width, height) {\n", + " // Keep the size of the canvas, canvas container, and rubber band\n", + " // canvas in synch.\n", + " canvas_div.css('width', width)\n", + " canvas_div.css('height', height)\n", + "\n", + " canvas.attr('width', width * mpl.ratio);\n", + " canvas.attr('height', height * mpl.ratio);\n", + " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n", + "\n", + " rubberband.attr('width', width);\n", + " rubberband.attr('height', height);\n", + " }\n", + "\n", + " // Set the figure to an initial 600x600px, this will subsequently be updated\n", + " // upon first draw.\n", + " this._resize_canvas(600, 600);\n", + "\n", + " // Disable right mouse context menu.\n", + " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", + " return false;\n", + " });\n", + "\n", + " function set_focus () {\n", + " canvas.focus();\n", + " canvas_div.focus();\n", + " }\n", + "\n", + " window.setTimeout(set_focus, 100);\n", + "}\n", + "\n", + "mpl.figure.prototype._init_toolbar = function() {\n", + " var fig = this;\n", + "\n", + " var nav_element = $('
    ')\n", + " nav_element.attr('style', 'width: 100%');\n", + " this.root.append(nav_element);\n", + "\n", + " // Define a callback function for later on.\n", + " function toolbar_event(event) {\n", + " return fig.toolbar_button_onclick(event['data']);\n", + " }\n", + " function toolbar_mouse_event(event) {\n", + " return fig.toolbar_button_onmouseover(event['data']);\n", + " }\n", + "\n", + " for(var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " // put a spacer in here.\n", + " continue;\n", + " }\n", + " var button = $('');\n", + " button.click(method_name, toolbar_event);\n", + " button.mouseover(tooltip, toolbar_mouse_event);\n", + " nav_element.append(button);\n", + " }\n", + "\n", + " // Add the status bar.\n", + " var status_bar = $('');\n", + " nav_element.append(status_bar);\n", + " this.message = status_bar[0];\n", + "\n", + " // Add the close button to the window.\n", + " var buttongrp = $('
    ');\n", + " var button = $('');\n", + " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", + " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", + " buttongrp.append(button);\n", + " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", + " titlebar.prepend(buttongrp);\n", + "}\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(el){\n", + " var fig = this\n", + " el.on(\"remove\", function(){\n", + "\tfig.close_ws(fig, {});\n", + " });\n", + "}\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(el){\n", + " // this is important to make the div 'focusable\n", + " el.attr('tabindex', 0)\n", + " // reach out to IPython and tell the keyboard manager to turn it's self\n", + " // off when our div gets focus\n", + "\n", + " // location in version 3\n", + " if (IPython.notebook.keyboard_manager) {\n", + " IPython.notebook.keyboard_manager.register_events(el);\n", + " }\n", + " else {\n", + " // location in version 2\n", + " IPython.keyboard_manager.register_events(el);\n", + " }\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._key_event_extra = function(event, name) {\n", + " var manager = IPython.notebook.keyboard_manager;\n", + " if (!manager)\n", + " manager = IPython.keyboard_manager;\n", + "\n", + " // Check for shift+enter\n", + " if (event.shiftKey && event.which == 13) {\n", + " this.canvas_div.blur();\n", + " event.shiftKey = false;\n", + " // Send a \"J\" for go to next cell\n", + " event.which = 74;\n", + " event.keyCode = 74;\n", + " manager.command_mode();\n", + " manager.handle_keydown(event);\n", + " }\n", + "}\n", + "\n", + "mpl.figure.prototype.handle_save = function(fig, msg) {\n", + " fig.ondownload(fig, null);\n", + "}\n", + "\n", + "\n", + "mpl.find_output_cell = function(html_output) {\n", + " // Return the cell and output element which can be found *uniquely* in the notebook.\n", + " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", + " // IPython event is triggered only after the cells have been serialised, which for\n", + " // our purposes (turning an active figure into a static one), is too late.\n", + " var cells = IPython.notebook.get_cells();\n", + " var ncells = cells.length;\n", + " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", + " data = data.data;\n", + " }\n", + " if (data['text/html'] == html_output) {\n", + " return [cell, data, j];\n", + " }\n", + " }\n", + " }\n", + " }\n", + "}\n", + "\n", + "// Register the function which deals with the matplotlib target/channel.\n", + "// The kernel may be null if the page has been refreshed.\n", + "if (IPython.notebook.kernel != null) {\n", + " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", + "}\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure to file chap10-fig03.pdf\n" + ] + } + ], + "source": [ + "newfig()\n", + "plot(sweep)\n", + "decorate(xlabel='Launch angle (degree)',\n", + " ylabel='Range (m)',\n", + " legend=False)\n", + "\n", + "savefig('chap10-fig03.pdf')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can use `max_bounded` to search for the peak efficiently." + ] + }, + { + "cell_type": "code", + "execution_count": 238, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "45.0\n", + "34.3769410125\n", + "55.6230589875\n", + "21.246117975\n", + "41.8191039876\n", + "41.6971472537\n", + "41.6051027027\n", + "41.6031028628\n", + "41.6034368132\n", + "41.6027689123\n", + "CPU times: user 3.19 s, sys: 15.2 ms, total: 3.21 s\n", + "Wall time: 3.16 s\n" + ] + } + ], + "source": [ + "%time res = max_bounded(range_func, [0, 90], condition)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The result is an `OptimizeResult` object." + ] + }, + { + "cell_type": "code", + "execution_count": 239, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "scipy.optimize.optimize.OptimizeResult" + ] + }, + "execution_count": 239, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(res)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With the following variables." + ] + }, + { + "cell_type": "code", + "execution_count": 240, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + " fun: 109.69517452154646\n", + " message: 'Solution found.'\n", + " nfev: 9\n", + " status: 0\n", + " success: True\n", + " x: 41.60310286275633" + ] + }, + "execution_count": 240, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "res" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So the optimal angle is about 41 degrees, and the resulting range is 103 meters." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** Add a print statement to `range_func` that prints `angle`. Then run `max_bounded` again so you can see how many times it calls `range_func` and what the arguments are." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It calls range 10 times with decreasing variance." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Turning off units\n", + "\n", + "Each time `range_func` runs, it calls `odeint`, which runs `slope_func` many times. And each time `slop_func` runs, it checks the units for all computations, which takes some time. We can speed up the whole process by removing the units from the computation (now that we are satisfied that they are correct).\n", + "\n", + "Because of the way we organized the code, all units are in the `Condition` object, so we can \"turn off units\" by defining a new `Condition` object with no units:" + ] + }, + { + "cell_type": "code", + "execution_count": 241, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "condition = Condition(g = 9.8,\n", + " mass = 145e-3,\n", + " diameter = 73e-3,\n", + " rho = 1.2,\n", + " C_d = 0.3,\n", + " angle = 45,\n", + " velocity = 40,\n", + " duration = 7)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now `range_func` and `max_bounded` are substantially faster." + ] + }, + { + "cell_type": "code", + "execution_count": 242, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "45\n", + "CPU times: user 53.8 ms, sys: 78 µs, total: 53.9 ms\n", + "Wall time: 51.3 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "array(102.72237841710867)" + ] + }, + "execution_count": 242, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time range_func(45, condition)" + ] + }, + { + "cell_type": "code", + "execution_count": 243, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "45.0\n", + "34.3769410125\n", + "55.6230589875\n", + "21.246117975\n", + "41.4051852323\n", + "41.2368620421\n", + "41.1390964625\n", + "41.1364127398\n", + "41.1367466832\n", + "41.1360787963\n", + "CPU times: user 477 ms, sys: 5.11 ms, total: 483 ms\n", + "Wall time: 473 ms\n" + ] + } + ], + "source": [ + "%time res = max_bounded(range_func, [0, 90], condition)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### The Manny Ramirez problem\n", + "\n", + "Finally, let's solve the Manny Ramirez problem:\n", + "\n", + "*What is the minimum effort required to hit a home run in Fenway Park?*\n", + "\n", + "Fenway Park is a baseball stadium in Boston, Massachusetts. One of its most famous features is the \"Green Monster\", which is a wall in left field that is unusually close to home plate, only 310 feet along the left field line. To compensate for the short distance, the wall is unusually high, at 37 feet.\n", + "\n", + "Although the problem asks for a minimum, it is not an optimization problem. Rather, we want to solve for the initial velocity that just barely gets the ball to the top of the wall, given that it launches at the optimal angle.\n", + "\n", + "And we have to be careful about what we mean by \"optimal\". For this problem, we don't want the longest range, we want the maximum height at the point where it reaches the wall.\n", + "\n", + "If you are ready to solve the problem on your own, go ahead. Otherwise I will walk you through the process with an outline and some starter code.\n", + "\n", + "As a first step, write a function called `height_func` that takes a launch angle and a condition as parameters, simulates the flights of a baseball, and returns the height of the baseball when it reaches a point 94.5 meters (310 feet) from home plate." + ] + }, + { + "cell_type": "code", + "execution_count": 251, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def height_func(angle, condition):\n", + " condition.set(angle=angle)\n", + " system = make_system(condition)\n", + " run_odeint(system, slope_func)\n", + " \n", + " T = interp_inverse(system.results.x)\n", + " t_wall = T(94.5)\n", + " \n", + " Y = interpolate(system.results.y)\n", + " return Y(t_wall)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Test your function with a launch angle of 45 degrees:" + ] + }, + { + "cell_type": "code", + "execution_count": 252, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(11.025366370141327)" + ] + }, + "execution_count": 252, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "height_func(45, condition)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now use `max_bounded` to find the optimal angle. Is it higher or lower than the angle that maximizes range?" + ] + }, + { + "cell_type": "code", + "execution_count": 254, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + " fun: 11.045254540092481\n", + " message: 'Solution found.'\n", + " nfev: 19\n", + " status: 0\n", + " success: True\n", + " x: 44.51992616853677" + ] + }, + "execution_count": 254, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "max_bounded(height_func, [0, 90], condition)\n", + "# higher" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The following lines compute the height of the ball at the wall, given that it's launched at the optimal angle." + ] + }, + { + "cell_type": "code", + "execution_count": 255, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(10.360365286000551)" + ] + }, + "execution_count": 255, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "angle = res.x\n", + "height = height_func(angle, condition)\n", + "height" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next, we need to find the height of the ball at the wall, for a given velocity, given that it's launched at the optimal angle.\n", + "\n", + "Write a function called `best_height` that takes velocity and a `Condition` object as parameters. It should use `max_bounded` to find the optimal launch angle, then compute and the highest possible height of the ball at the wall, for the given velocity." + ] + }, + { + "cell_type": "code", + "execution_count": 258, + "metadata": {}, + "outputs": [], + "source": [ + "def best_height(velocity, condition):\n", + " condition.set(velocity=velocity)\n", + " angle = max_bounded(height_func, [0, 90], condition).x\n", + " return height_func(angle, condition)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Use this code to test `best_height`" + ] + }, + { + "cell_type": "code", + "execution_count": 259, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(11.04525454009248)" + ] + }, + "execution_count": 259, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "best_height(40, condition)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Finally, we want to use `fsolve` to find the initial velocity that makes the height of the ball exactly 11 meters when it reaches the wall.\n", + "\n", + "To use `fsolve`, we need an error function that returns 0 when we have the right velocity. Write a function called `error_func` that takes a velocity and a `Condition` object, uses `best_height` to find the height of the ball at the wall, and returns the difference between the result and the target value (11 meters)." + ] + }, + { + "cell_type": "code", + "execution_count": 260, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def error_func(velocity, condition):\n", + " return best_height(velocity, condition) - 11\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Test your error function like this:" + ] + }, + { + "cell_type": "code", + "execution_count": 265, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.045254540092480866" + ] + }, + "execution_count": 265, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "error_func(40, condition)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Then use `fsolve` to find the answer to the problem, the minimum velocity that gets the ball out of the park." + ] + }, + { + "cell_type": "code", + "execution_count": 266, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "min_velocity = fsolve(error_func, 40, condition)" + ] + }, + { + "cell_type": "code", + "execution_count": 269, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 39.98870758])" + ] + }, + "execution_count": 269, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "min_velocity" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And just to check, run `best_height` with the value you found. The result should be 11 meters." + ] + }, + { + "cell_type": "code", + "execution_count": 268, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(10.999999999981757)" + ] + }, + "execution_count": 268, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "best_height(min_velocity, condition)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python3.6", + "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": "3.6.3" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/chap10mine.org b/code/chap10mine.org new file mode 100644 index 00000000..7e2a829f --- /dev/null +++ b/code/chap10mine.org @@ -0,0 +1,27 @@ +#+title: Chapter 10 Notebook + +#+name: pre +#+BEGIN_SRC python + import pint + + ureg = pint.UnitRegistry() + m = ureg.meter + s = ureg.second + kg = ureg.kilogram + + # condition = pd.Series({'x': 0 * m, 'y': 1 * m, 'g': 9.8 * m / s**2, 'mass': 0.145 * kg, 'diameter': 0.073 * m, + # 'rho': 1.2 * kg / m ** 3, 'C_d': 0.3, 'angle': 45 * degree, 'velocity': 40 * m / s, 'duration': 5.1 * s}) +#+END_SRC + +* Exercise +Create a =Vector= named =a_force= that represents acceleration due to a force of 0.5 Newton applied to an object with mass 0.3 kilograms, in a direction 45 \deg up from the positive x-axis. + +Add =a_force= to =a_drag= from the previous exercise. +If that addition succeeds, that means that the units are compatible. +Confirm that the total acceleration seems to make sense. + + +#+BEGIN_SRC python :noweb yes + <
    >
    +  a_grav = 
    +#+END_SRC
    
    From e906020e31300974b9ef41018f47b6be0e15647f Mon Sep 17 00:00:00 2001
    From: Kawin Nikomborirak 
    Date: Thu, 2 Nov 2017 00:34:34 +0000
    Subject: [PATCH 51/51] add chap11
    
    ---
     code/chap11-fig01.pdf |  Bin 0 -> 15247 bytes
     code/chap11-fig02.pdf |  Bin 0 -> 15636 bytes
     code/chap11mine.ipynb | 1958 +++++++++++++++++++++++++++++++++++++++++
     3 files changed, 1958 insertions(+)
     create mode 100644 code/chap11-fig01.pdf
     create mode 100644 code/chap11-fig02.pdf
     create mode 100644 code/chap11mine.ipynb
    
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    +    "\n",
    +    "%matplotlib inline\n",
    +    "\n",
    +    "from modsim import *"
    +   ]
    +  },
    +  {
    +   "cell_type": "markdown",
    +   "metadata": {},
    +   "source": [
    +    "### Rolling paper\n",
    +    "\n",
    +    "We'll start by loading the units we need."
    +   ]
    +  },
    +  {
    +   "cell_type": "code",
    +   "execution_count": 2,
    +   "metadata": {
    +    "collapsed": true
    +   },
    +   "outputs": [],
    +   "source": [
    +    "radian = UNITS.radian\n",
    +    "m = UNITS.meter\n",
    +    "s = UNITS.second"
    +   ]
    +  },
    +  {
    +   "cell_type": "markdown",
    +   "metadata": {},
    +   "source": [
    +    "And creating a `Condition` object with the system parameters"
    +   ]
    +  },
    +  {
    +   "cell_type": "code",
    +   "execution_count": 3,
    +   "metadata": {
    +    "collapsed": true
    +   },
    +   "outputs": [],
    +   "source": [
    +    "condition = Condition(Rmin = 0.02 * m,\n",
    +    "                      Rmax = 0.055 * m,\n",
    +    "                      L = 47 * m,\n",
    +    "                      duration = 130 * s)"
    +   ]
    +  },
    +  {
    +   "cell_type": "markdown",
    +   "metadata": {},
    +   "source": [
    +    "The following function estimates the parameter `k`, which is the increase in the radius of the roll for each radian of rotation. "
    +   ]
    +  },
    +  {
    +   "cell_type": "code",
    +   "execution_count": 4,
    +   "metadata": {
    +    "collapsed": true
    +   },
    +   "outputs": [],
    +   "source": [
    +    "def estimate_k(condition):\n",
    +    "    \"\"\"Estimates the parameter `k`.\n",
    +    "    \n",
    +    "    condition: Condition with Rmin, Rmax, and L\n",
    +    "    \n",
    +    "    returns: k in meters per radian\n",
    +    "    \"\"\"\n",
    +    "    unpack(condition)\n",
    +    "    \n",
    +    "    Ravg = (Rmax + Rmin) / 2\n",
    +    "    Cavg = 2 * pi * Ravg\n",
    +    "    revs = L / Cavg\n",
    +    "    rads = 2 * pi * revs\n",
    +    "    k = (Rmax - Rmin) / rads\n",
    +    "    return k"
    +   ]
    +  },
    +  {
    +   "cell_type": "markdown",
    +   "metadata": {},
    +   "source": [
    +    "As usual, `make_system` takes a `Condition` object and returns a `System` object."
    +   ]
    +  },
    +  {
    +   "cell_type": "code",
    +   "execution_count": 5,
    +   "metadata": {
    +    "collapsed": true
    +   },
    +   "outputs": [],
    +   "source": [
    +    "def make_system(condition):\n",
    +    "    \"\"\"Make a system object.\n",
    +    "    \n",
    +    "    condition: Condition with Rmin, Rmax, and L\n",
    +    "    \n",
    +    "    returns: System with init, k, and ts\n",
    +    "    \"\"\"\n",
    +    "    unpack(condition)\n",
    +    "    \n",
    +    "    init = State(theta = 0 * radian,\n",
    +    "                 y = 0 * m,\n",
    +    "                 r = Rmin)\n",
    +    "    \n",
    +    "    k = estimate_k(condition)\n",
    +    "    ts = linspace(0, duration, 101)\n",
    +    "    \n",
    +    "    return System(init=init, k=k, ts=ts)"
    +   ]
    +  },
    +  {
    +   "cell_type": "markdown",
    +   "metadata": {},
    +   "source": [
    +    "Testing `make_system`"
    +   ]
    +  },
    +  {
    +   "cell_type": "code",
    +   "execution_count": 6,
    +   "metadata": {},
    +   "outputs": [
    +    {
    +     "data": {
    +      "text/html": [
    +       "
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    value
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    " + ], + "text/plain": [ + "init theta 0 radian\n", + "y 0 meter\n", + "r ...\n", + "k 2.7925531914893616e-05 meter\n", + "ts [0.0 second, 1.3 second, 2.6 second, 3.9000000...\n", + "dtype: object" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "system = make_system(condition)\n", + "system" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
    \n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
    value
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    " + ], + "text/plain": [ + "theta 0 radian\n", + "y 0 meter\n", + "r 0.02 meter\n", + "dtype: object" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "system.init" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we can write a slope function based on the differential equations\n", + "\n", + "$\\omega = \\frac{d\\theta}{dt} = 10$\n", + "\n", + "$\\frac{dy}{dt} = r \\frac{d\\theta}{dt}$\n", + "\n", + "$\\frac{dr}{dt} = k \\frac{d\\theta}{dt}$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def slope_func(state, t, system):\n", + " \"\"\"Computes the derivatives of the state variables.\n", + " \n", + " state: State object with theta, y, r\n", + " t: time\n", + " system: System object with r, k\n", + " \n", + " returns: sequence of derivatives\n", + " \"\"\"\n", + " theta, y, r = state\n", + " unpack(system)\n", + " \n", + " omega = 10 * radian / s\n", + " dydt = r * omega\n", + " drdt = k * omega\n", + " \n", + " return omega, dydt, drdt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Testing `slope_func`" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(,\n", + " ,\n", + " )" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "slope_func(system.init, 0*s, system)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we can run the simulation." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "run_odeint(system, slope_func)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And look at the results." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
    \n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
    thetayr
    124.81248.046.7070640.054851
    126.11261.047.4224870.055214
    127.41274.048.1426300.055577
    128.71287.048.8674930.055940
    130.01300.049.5970740.056303
    \n", + "
    " + ], + "text/plain": [ + " theta y r\n", + "124.8 1248.0 46.707064 0.054851\n", + "126.1 1261.0 47.422487 0.055214\n", + "127.4 1274.0 48.142630 0.055577\n", + "128.7 1287.0 48.867493 0.055940\n", + "130.0 1300.0 49.597074 0.056303" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "system.results.tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Extracting one time series per variable (and converting `r` to radians):" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "thetas = system.results.theta\n", + "ys = system.results.y\n", + "rs = system.results.r * 1000" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plotting `theta`" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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hAXd39zvOSUlJQXJyMuLi4rBp0ybY2dkhNjYWtbW17ByFQoHY2FjweDwkJydj2bJlSE1N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\nj3t/itEhhJDb9Knrfg8fPozw8HBOo5k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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(thetas, label='theta')\n", + "\n", + "decorate(xlabel='Time (s)',\n", + " ylabel='Angle (rad)')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plotting `y`" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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NLi4u0NH572mxrq7uS7/Yd+3aBWtra6xevRpmZmb47bffsGzZMhQVFWHGjBkA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\no7KyUu3XXL58GR4eHho1ZT5pfdrNhIW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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(ys, color='green', label='y')\n", + "\n", + "decorate(xlabel='Time (s)',\n", + " ylabel='Length (m)')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plotting `r`" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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ZgsjISKSkpKB58+aYOXMmmjRpUoxTJMVJkrhnsXat2FUvT6VKQEgI0KyZcrkR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\no0cPafr06brHGo1G6tu3rzR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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(rs, color='red', label='r')\n", + "\n", + "decorate(xlabel='Time (s)',\n", + " ylabel='Radius (mm)')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can also see the relationship between `y` and `r`, which I derive analytically in the book." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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3Vm3k119/xQ8//IB33nkHAPRnMnd+zq3HeCsrKxka1GGUZpfizOdnDO5dOLg5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\nNIiIyGQMDSIiMhlDg4iITPb/AbWQp6Ly9/PyAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(rs, ys, color='purple')\n", + "\n", + "decorate(xlabel='Radius (mm)',\n", + " ylabel='Length (m)',\n", + " legend=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And here's the figure from the book." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure to file chap11-fig01.pdf\n" + ] + }, + { + "data": { + "image/png": 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jvMYkJiYiIiIClZWVDA8UMgRBQF1jS9vKlVVG2OxOnzEikQhJcQrkaNXITFYj\nnI2PRNQOAb+7C4KA+vp66PV6qFQqJCUlAQBqampgMpmQmpoKhUKBI0eO4J133sGmTZuwefNmxMTE\nXFKBcXFxuOeeezBs2DC4XC7s3LkTjz76KGw2GxYvXgyz2YzIyEifpkeVSgWr1Qq73Q6ZTAaz2Yzo\n6Gif4yuVSpjN5kuqkagnMDTZUKozoER//sbHfuqItj6GFDUUkbJurpCIQkXA4eGee+7BXXfdhaef\nfhpXX321583a5XLh/fffx/r167F+/XoMHz4c7777Lh555BE899xzWLdu3SUVOGnSJEyaNMnz9ZQp\nU9Da2oqXXnrpoldDiEJdi82BsrMzPp4ytPgdo4iQIkfbtnJlrIqL1xHRpQs4PDzzzDOYP38+rrvu\nOq/tEokE8+bNQ2lpKZ566in861//wvz583H48GF89NFHnV4wAMyYMQO7du1CTU0NlEolWlpa4HK5\nvK4+mEwmREREQCZr++tKqVTCYvFdFthsNkOpVHZJnURdweF0oeLsjI9V9edpfJRKkJmsRm6qBon9\notj4SESdKuDwUFJSgmuvvfa8+5OTk/HPf/7T8/XgwYPx7rvvXlp15/HzF8KMjAy4XC7odDpkZGR4\ntldWVnp9nZGRgcrKSq/jnDx5Elar1WscUU/kdguoqm+b8fF4jQmO8zU+JiiRo9UgNUGJMDY+ElEX\nCTg8xMXFYffu3bj55pt91rFwu90oKipCv379PNuMRiNUKlXnVfozH374ITQaDZKSktC/f38oFAoU\nFRVh+fLlAACr1YqPP/4YN9xwg+cxkydPxquvvgqLxeK542Lnzp2Qy+U97rZUIqCtz+iUwYoS3RmU\nVRlhbfVtfASAxH5tMz5mJqsgl/X6G6iIqBcI+JVmyZIlWLduHRYuXIgbb7zRM0mTXq/Hv/71Lxw5\ncgQPP/ywZ/yHH36IoUOHXnKBK1euxNChQ5Gbmwu3242dO3di586dePjhhyEWixEeHo5ly5ahsLAQ\nKpXKM0mU2+3GLbfc4jnOTTfdhC1btmDlypVYunQpqqqqUFBQgMWLF3OOB+pRTJZWlOgNKNUZYLS0\n+h0Tq5QjJ1WD7BQNlFFsfCSi7hVweFi4cCFEIhE2bNiABx980PPRgSAIUKvVePjhh7Fw4UIAgN1u\nx/3334/k5ORLLjA9PR3//ve/UVdXB0EQkJWVhfXr13v1XixbtgxutxsbN26E0WjEkCFDsHnzZq8r\nISqVCq+99hrWrl2LO++8E0qlErfddhtWrlx5yTUSXaoWmwMV1SaU6A2oa2z2O0YRIUW2VoOcFA36\nqeXsYyCioBEJ/rqtLsDhcOAH2WicAAAgAElEQVTo0aOora0F0DZXwpAhQyCVhu5899XV1cjPz0dx\ncXGnBCIiAHA43The29b4qK9rgtvPr6JMKkFmkgo5Wg2S4hQQc+VKIuomF3rva/cHpFKpFCNGjMCI\nESM6rUCivsLtFlDTYEGJ7gwqakxwOH0bH8UiEVLjo5GTqkF6ooqNj0TU47Q7PJSXl6Oqqgomk8nv\n/l/eyknU1wmCgAajFaV6A0r1RrTYHH7HJcRGISdVg6xkNSLC2fhIRD1XwK9Qer0e999/P7799lu/\n95UDbbdQMjwQtTFZWlFWZUSp3oAzZpvfMerocAxMjUF2ihoqRXg3V0hE1DEBh4f/+7//Q2lpKR56\n6CGMGjWKEysR+WFrdaK8ui0w1J723/gYKZciO0WNXK0GcZoINj4SUa8TcHg4dOgQli1b5nX7IxEB\nTpcbJ2rNKNEboKszw+32vTInDRMjI1GFnFQNUvpHs/GRiHq1gMODWq3uskmfiHqbc42PpXoDKmpM\nsDtcPmPEIhFSBkQjR6tGRpIK0jCuXElEoSHg8HDjjTfi/fffx29+8xufFSyJ+gJBENBosqFEb0CZ\n3gCL1X/j44CYSOSebXyMlIfuLcxE1HcFHB5ycnJQXFyMefPmYcGCBUhISPCZphoA8vPzO7VAomCz\ntNhRqjeiRHcGjedrfFSEty11rdVAHc3GRyIKbQGHh5/PxPjkk0/6HSMSiXDs2LFLr4ooyGx2Jyqq\n2yZwqmnwXY0VACLCw5CdokaOVoMBMZFsfCSiPiPg8PDGG290ZR1EQedyuXHipBmlegNOnDTD5afx\nMUwiRkaSCrlaDZIHREPCxkci6oMCDg+BrDxpt9svqRii7iYIAk6ebkaJ3oDyaiNa7b6NjyKRCCn9\nFchJ1SAjUQWZlD0/RNS3XfI0doIg4MCBA3j//fexd+9efPXVV51RF1GXajRZUapvm4+hqcV/6O2v\niUSuVoNsLRsfiYh+rsPh4bvvvsOOHTuwc+dOnD59GuHh4Rg/fnxn1kbUqSxWB8r0BpTqDWgwWv2O\nUUbJkKPVIFergUYp7+YKiYh6h3aFB51Oh+3bt2P79u3Q6/UAgKlTp+LGG2/EuHHjEB7OLnPqWewO\nl2ep65oGi9+p1eWyMGQlq5CbGoP4WDY+EhFdzEXDw+nTp/HBBx9g+/bt+P7776FUKjFt2jT87ne/\nwyOPPILrrrsOU6ZM6Y5aiQLicrmhr29Cqd6A47VmOF2+K1dKxCKkJ6qQm6qBdkA0JFy5kogoYBcM\nD0uWLMHBgwchl8uRn5+PlStXYsKECQgLC/NceSDqCQRBQF1jS1vjY5URNrvTZ4xIJEJSnAK5Wg0y\nklUIZ+MjEVGHXDA8fPHFF0hOTsYjjzyCyZMn83Iu9TgGc9uMj6V6A8zN/hsf49QRyD47gZMigo2P\nRESX6oLh4b777sOOHTtw5513IjY2FjNnzsSsWbNwxRVXdFd9RD5abA6U6Y0o0RtwytDid4wiQorc\n1LbAEKuK6OYKiYhC2wXDw+9+9zv87ne/Q3l5ObZv344PPvgAb775JuLj4zFmzBiIRCJejaBu4XC6\nUFHTNuNjVb3/xsdwmQRZyW0zPib2i+LPJhFRFwnobousrCzce++9uPfee3Ho0CHs2LEDRUVFEAQB\nTz75JA4cOIArr7wSY8eOhUwm6+qaqY9wuQVU1zehRG/A8RoTHOdpfExLUCJHq0FagpKNj0RE3aDd\n8zyMHDkSI0eOxB//+Ef897//xfvvv493330Xb731FiIjI3Ho0KGuqJP6CEEQUH+mBaV6A8qqjLC2\n+jY+AkBSnAI5Wg0yk1WQyy55rjMiImqHDr/qSiQSTJ48GZMnT4bNZsPevXuxY8eOzqyN+hBjUytK\nqwwo1RlgtLT6HROrlCPnbB9DdCSvcBERBUun/Mkml8sxd+5czJ07tzMOR31Ei82B8mojSnQG1J85\nf+Nj9tkZH2NVcvYxEBH1ALzeS93K4XTjeK0JJToDquqb4PbT+CiTSpCVrEJ2igZJcQqIuXIlEVGP\nwvBAXc7tFlB9qm3Gx4oaExxO38ZHsViE1HglcrUapCUqEcbGRyKiHovhgbqEIAhoMFhRcrbxscXm\n8DsuITYKuakaZCWrIQ/njyMRUW/AV2vqVCZLK8qqjPhRdwbGJv+Nj5poOXJTNchOUUOl4GJqRES9\nDcMDXTJbq9PT+HiysdnvmEi5FDnatgmc4tQRbHwkIurFGB6oQ5wuN07UmlGiN0BXZ4bb7dv4KA0T\nIzNJhRytBsn9o9n4SEQUIhgeKGBut4CaBoun8dHucPmMEYtE0MZHI0erQXqiCtIwNj4SEYUahge6\nIEEQ0GhqW7myTG+Axeq/8TE+Ngq5Z2d8jJRz5UoiolDG8EB+NbXYUapvm/Gx0WzzO0atCEfO2aWu\n1dFsfCQi6isYHsjDZneiorptAqfa0xa/YyLCw5CdokZuagz6a9j4SETUFzE89HEulxsnTppRqjfg\nxEkzXP4aHyVipCepkKvVIHlANCRsfCQi6tMYHvogQRBQe7oZJToDKmqMaLX7Nj6KRCKkDFAgV6tB\nRpIK0jBJEColIqKeiOGhD2k0WVGiM6D0Ao2P/TWRyNVqkK1Vs/GRiIj8YngIcRaro63xUW/AaaPV\n7xhllAw5Wg1yUzXQRMu7uUIiIuptGB5CUKvDhYpqI0r1RtQ0WCD4WblSLjvX+KjBgJhINj4SEVHA\nGB5ChMvlhr6+CSU6A47Xmvw2PoZJxEhPVCJHq4F2QDQkXLmSiIg6gOGhFxMEAXWNLSjRnUF5tQk2\nu9NnjEgkQlKcwjOBk0zKxkciIro0DA+90BmzzdPHYG62+x0Tp45AjlaDbK0Gigg2PhIRUedheOgl\nmq0OlFUZUKI3oMHgv/ExOlJ2dsZHNWJVEd1cIRER9RUMDz2Y3eFCZW3bjI/Vp/w3PobLJMhKViNX\nq0FCvyg2PhIRUZdjeOhhXG4BVT9rfHS63D5jJGIR0hLaGh/TEpRsfCQiom7F8NADCIKA+jMtKNUb\nUFZlhLXVt/ERAJLiFMg52/gol/F/HRERBQffgYLI2NSKUn1bH4PJ0up3TKxSjtzUGGRr1YiOlHVz\nhURERL76XHgoLy/HunXrcPjwYURHR+P666/HihUrIJF0zy2MLTYHyquNKNEZUH+mxe8YRYQU2VoN\ncrUa9FOz8ZGIiHqWPhUeTCYTFi9ejKysLBQWFkKv12P9+vVwu9249957u+z7OpwuHK81o0RnQFV9\nE9x+Gh9lUgmyklXI0WqQ2E8BMVeuJCKiHqpPhYe3334bra2tKCgogEKhwIQJE2CxWFBQUIClS5dC\noVB02vdyuwVUnWpCqc6AyloTHE7fxkexWITUeCVytRqkJSoRxsZHIiLqBfpUePj0008xceJEr5Aw\nZ84cPPvsszh48CDy8vIu6fiCIKDBYEXJ2cbHFpv/lSsT+0UhR6tBVrIa8vA+9b+AiIhCQJ9656qs\nrMS4ceO8tiUmJiIiIgKVlZUdDg9ut4BvSk/h2IkzMDb5b3yMUcrPTuCkgTKKjY9ERNR79anwYDab\nER0d7bNdqVTCbDZ3+Lhf/VCHr47V+2yPlEuRo1UjVxuDfmo5J3AiIqKQ0KfCQ1f5efujNEyMzCQV\nclNjkBTHxkciIgo9fSo8KJVKWCwWn+1msxlKpbLDxx19WTzUinCEhYmRGq+ENIyNj0REFLr6VHjI\nyMhAZWWl17aTJ0/CarUiIyPjvI9zuVwAgLq6uvOOUZw9k/V1vuGEiIiotzn3nnfuPfDn+lR4mDx5\nMl599VVYLBbPHRc7d+6EXC7HmDFjzvu4hoYGAMDChQu7pU4iIqKeoqGhAampqV7bRIK/pRpDlMlk\nwpw5c5CdnY2lS5eiqqoKTz/9NG699dYLThJls9lw9OhRxMXFddtMlERERMHkcrnQ0NCAIUOGQC6X\ne+3rU+EBaJueeu3atTh8+DCUSiUWLFiAlStXMhQQEREFqM+FByIiIro0vC2AiIiI2oXhgYiIiNqF\n4YGIiIjaheHhEpWXl+O2227D8OHDMXHiRDz//PN+74kNFbt27cKdd96JSZMmYcSIEZg/fz527Njh\nM+6dd97B9OnTMXToUMyfPx9ffPFFEKrtPvX19RgxYgRyc3PR3Nzs2S4IAl5++WVMmTIFw4YNw8KF\nC3Hs2LEgVtr5nE4nNm3ahOnTp2PIkCGYPHkynnzySa8xfeE8fPDBB5g3bx5GjBiBSZMmYfXq1aiv\n9562PtTOg06nw//93//h6quvxqBBg3DLLbf4jAn0Offm19KLnYdTp05h/fr1uOaaazBixAhMmTIF\nDzzwgM/PB9D2WnLXXXdhxIgRGDt2LNauXQur1dpdTyVgDA+XwGQyYfHixRCJRCgsLMRdd92FzZs3\nY8OGDcEurcu89tpriIqKwpo1a1BYWIixY8di1apV2LJli2fMjh078Oijj+Laa6/FK6+8gqysLNxx\nxx0oLS0NYuVd65lnnkFkZKTP9k2bNqGwsBBLly7Fyy+/jMjISCxevNgzd0goePDBB/HGG2/gt7/9\nLf7xj39g1apVPrd1hfp5KC4uxh/+8AeMGDEChYWFuO+++/D111/jjjvugNvt9owLtfNQVlaGffv2\nIT09HWlpaX7HBPKce/tr6cXOw/fff4+9e/di7ty5eOmll7B69WocOXIEN998s9cfGw6HA7fffjtq\na2vx3HPP4Y9//COKiorwyCOPdOOzCZBAHfbyyy8Lo0aNEpqamjzbNm3aJAwbNsxrWyhpbGz02faH\nP/xBmDp1qufr6dOnCw8++KDna5fLJcydO1dYtWpVt9TY3Q4ePCiMHj1a+Pvf/y7k5OQIFotFEARB\nsNlswsiRI4UXXnjBM7a5uVkYO3as8Ne//jVY5Xaqffv2CZdddplQVlZ23jF94Tz8/ve/F+bNm+e1\nbe/evUJOTo5QXl4uCEJongeXy+X598qVK4VFixZ57Q/0Off219KLnQeTySQ4HA6vbZWVlUJOTo6w\nbds2z7bt27cLAwcOFPR6vWfbBx98IOTm5grHjx/vmuI7iFceLsGnn36KiRMnemarBIA5c+bAZrPh\n4MGDQays68TExPhsGzRoEE6dOgUAqKqqwokTJzBr1izPfrFYjBkzZmD//v3dVmd3cblcWLduHZYv\nXw6NRuO179ChQ7BYLF7nIjIyElOnTg2Zc/Hvf/8b48aNQ1ZW1nnH9IXz4HQ6vV4HAHjWyxHO3g0f\niudBLL7wW0igz7m3v5Ze7DwolUqEhXlP6Jyeno6IiAjPayfQdh6GDh2KlJQUz7arrroKUqm0x/2M\nMDxcgsrKSp81MRITExEREeGzhkYoO3z4MNLT0wHA87x/eV4yMzNhNBpx5syZbq+vK7399tuw2+1+\npy6vrKyERCLxuYyZmZkZMj8f3377LdLS0rB27VqMHDkSw4cPx4oVK7w+y+0L5+HXv/41/ve//+G9\n996DxWLB8ePH8be//c0rWPWF8/BLgT7nvvha+uOPP8JqtXqdG3/nQSaTQavV9rjzwPBwCcxmM6Kj\no322K5VKmM3mIFTU/b744gvs3bsXS5YsAdD22SUAn1VKVSqV1/5QYDAY8Pzzz2PNmjWQSqU++81m\nMyIjI31mL1WpVLBarbDb7d1VapdpaGjAtm3bcOzYMTz33HN46qmn8P3332PFihWev7j7wnm48sor\n8dRTT+GRRx7BFVdcgZkzZ8LlcuGFF17wjOkL5+GXAn3Ofe211O1244knnkBaWhry8vI823vTeehT\nC2NR56qursaqVauQn5+P+fPnB7ucbvfcc89h+PDhmDJlSrBLCbrCwkLPxzZxcXFYtGgRDhw4gPHj\nxwe5su5x4MABPProo7j11lsxefJkNDY24oUXXsBdd92F1157jdPfk5e//OUvOHz4MN58802/f3j0\nBgwPl0CpVMJi8V2C22w2+/zlHWqMRiOWLl2KxMREPPvss57t564wNDU1eZ2Dc1cczu3v7crKyrBt\n2za8+eabnr8Izt1OZbFYIJFIoFQq0dLSApfL5fXmYTKZEBERAZlMFpTaO5NSqURKSopXv8cVV1wB\nqVSK8vJyjB8/vk+ch/Xr1yMvLw/333+/Z9vAgQMxa9YsFBcXY/r06X3iPPxSoM+5L72WvvXWW3j1\n1Vfx17/+FcOHD/fad6HzMHDgwO4qMSD82OISZGRk+HwOdfLkSVitVp/PrUKJ1WrFnXfeCYfDgY0b\nNyIiIsKz79zz/uV5qayshFqt9ttw2RvpdDo4HA7ceOONGD16NEaPHo21a9cCaFv6fd26dcjIyIDL\n5YJOp/N6rL/PNXurzMxMz8cTv3SuiawvnIfKykoMGjTIa1tGRgbkcjn0er3n61A/D78U6HPuK6+l\nH374If70pz/h/vvvx+zZs332+zsPdrsdVVVVPe48MDxcgsmTJ+Ozzz7zSoo7d+6EXC7HmDFjglhZ\n13E6nbjnnntw4sQJ/P3vf0dsbKzX/pSUFKSlpaGoqMizze12o6ioCJMmTerucrvMyJEj8cYbb3j9\nt3TpUgBt97XffvvtGDlyJBQKhde5sFqt+Pjjj0PmXFx55ZUoLS31aoT96quv4HA4kJubCwB94jwk\nJibihx9+8NpWUVEBm82GpKQkAH3jPPxSoM+5L7yWfvnll7jvvvuwaNEi3H777X7HTJ48Gd999x1q\namo82z766CPY7fYe9zMieeyxxx4LdhG9VXZ2Nv71r3/hyy+/RP/+/fH555/jr3/9K2677baQ/Rz8\n0Ucfxc6dO7Fq1SqoVCrU1dV5/ouJiYFEIoFGo8GGDRsgFovhcrnw4osv4uuvv8b69et9wkZvFRER\ngeTkZK//6urqUFxcjMcffxwDBgzw3Jr18ssvQ6lUorm5GU899RTq6uqwfv16v5NK9TY5OTnYtm0b\nPvnkE8TGxuLo0aN4/PHHMWzYMCxfvhwA+sR5cLlc2Lx5MywWC8RiMb755hs89thjiIqKwkMPPQSp\nVBqS58FqtaK4uBjl5eX47LPPYDKZEBsbi/LyciQlJXkmC7vYc+7tr6UXOw96vR5LlixBamoqli5d\nivr6es/rpt1u93ycm56ejt27d2P37t2Ij4/H0aNH8cQTTyA/Px833HBDkJ+lNy7JfYnKy8uxdu1a\nHD58GEqlEgsWLMDKlStDtkEqLy/PKxX/XHFxMZKTkwG0TU/9yiuv4OTJk8jOzsbq1atDvnlu27Zt\nWLNmDQ4dOoSoqCgAP03Nu3XrVhiNRgwZMgQPP/wwLrvssiBX23l0Oh3+9Kc/4auvvoJUKkV+fj7W\nrFnj1d8S6udBEARs3boVW7duRVVVFaKjo3HFFVdg1apVXvfsh9p5qK6uRn5+vt99514PAn3Ovfm1\n9GLn4eDBg1izZo3f/fPmzcPTTz/t+bqurg5r167FF198AZlMhtmzZ2P16tVeHw/3BAwPRERE1C7s\neSAiIqJ2YXggIiKidmF4ICIionZheCAiIqJ2YXggIiKidmF4ICIionZheCAiIqJ2YXggIiKidmF4\nICIionZheCAiIqJ2YXggIiKidgkLdgG9gc1mw9GjRxEXF9crFmkhIiK6VC6XCw0NDRgyZIhnhdRz\nGB4CcPToUSxcuDDYZRAREXW7t956C6NGjfLaxvAQgLi4OABtJzA+Pj7I1RAREXWcIAg4aTkJEURI\niE4477i6ujosXLjQ8x74cwwPATj3UUV8fDySk5ODXA0REVHHlDWW4d0f30XFmQqIRCL8ftzvMbDf\nwAs+xt/H9QwPREREIa7KVIV3f3wX35/63rNNEASYbKYOHY/hgYiIKETVW+rxfsn7+Lr2a6/tErEE\neel5GJM0pkPHZXggIiIKMY0tjfig7AN8XvU5BEHwbBeJRBibNBZX516NfpH9Onx8hgciIqIQYW41\nY1fZLnyq+xROt9Nr34iEEbgm9xokRide8vdheCAiIurlmu3N2F2xGx8d/wh2l91r36C4Qbhu4HVI\nU6d12vdjeCAiIuqlbE4biiuLsbtiN2xOm9e+DE0Grht4HXL75Xb692V4ICIi6mXsLjs+OfEJisqL\n0Gxv9tqXrEzGtQOvxdD+QyESibrk+zM8EBER9RJOtxP7dfuxs2wnzK1mr30DFANwTe41uCLhii4L\nDecwPBAREfVwLrcLn1d9jg/KPoDBavDaFxsZi7k5czEueRzEou5Z75LhgYiIqIdyC24crDmI7SXb\ncbrltNc+tVyNOTlz8KuUXyFM3L1v5wwPREREPYxbcON/tf/D9tLtqLfUe+2LDo/GzKyZmJI6BVKJ\nNCj1MTwQERH1EIIg4Ju6b7C9ZDtqm2q99kXJojAjcwauTLsS4WHhQaqwDcMDERFRkAmCgCP1R7C9\nZDuqzdVe++RhckzLnIarMq6CPEwepAq9MTwQEREFiSAI+O7Ud9hesh16k95rX3hYOPLT8zEtcxoi\npZFBqtC/7mnLpB5v3759GDhwIKqqqry2V1VVYeDAgdi7d2+QKiMiCj2CIODoqaN4+rOn8eLBF72C\ng0wiw4ysGXgy/0lcO/DaHhccAF55oLMmTpyI/v3747333sPKlSs92999913ExsbiyiuvDF5xREQh\nQhAEfN/wPbaXbMcJ4wmvfVKJFFemXYkZmTMQHR4dnAIDxPDQhfZU7MH20u1odbZ2+/cODwvH1TlX\nY1rmtIDGSyQSzJs3D++++y5WrFgBkUgEQRDw3nvv4ZprrkFYGH9UiIg6ShAE/NDwA3aU7kClodJr\nX5g4DFPSpmBG5gyo5KogVdg+fEfoQnsq9wQlOABAq7MVeyr3BBweAGDBggXYuHEjvvzyS4wbNw4H\nDhxATU0N5s+f34WVEhGFrouFhkmpkzAzaybUcnWQKuwYhocuNC1jWlCvPEzLCDw4AEBKSgrGjBmD\nbdu2Ydy4cdi2bRuGDRuG7OzsLqqSiCg0hWpoOIfhoQtNy5zWrr/8e4Lrr78ejzzyCFatWoU9e/bg\ngQceCHZJRES9xrmehh2lO3DccNxrX5g4DBO1EzEzayY0EZogVdg5GB7Iy/Tp07F27Vrce++9cLvd\nmDNnTrBLIiLq8c7dPbGjdIdPI2QohYZzGB7IS3h4OK6++mq89dZbmDt3LpRKZbBLIiLqsQRBwLf1\n32JH6Q6feRrOfTwxI3NGyISGcxgeyMdVV12Ft956C7/+9a+DXQoRUY8kCAIO1x3GjtIdPjNChonD\nMDl1MmZkzei1PQ0Xw/BAPj777DMkJSVh3LhxwS6FiKhHObdg1c6ynT5rT0glUkxOnYzpmdNDNjSc\nE5Lhob6+HjNnzkRLSwsOHTqEqKgoAG1JcePGjdi6dSsMBgOGDh2Khx9+GIMGDQpyxT1DZWUlKioq\nsHXrVqxYsQJiMScgJSICfloae2fZTp9VLmUSGa5MuxLTMqdBGd43PuoNyfDwzDPPIDIyEi0tLV7b\nN23ahMLCQqxevRoZGRnYvHkzFi9ejB07diAuLi5I1fYcjz76KI4cOYK8vDzccsstwS6HiCjonG4n\nDlQfwK6yXTjdctprX3hYeFtoyJjW42eE7GwhFx6++uor7N+/H3fccQeeeeYZz/bW1lZs2rQJy5Yt\nw6JFiwAAl19+OfLy8vDmm2/i3nvvDVbJPcaWLVuCXQIRUY/gcDnw36r/oqi8CAarwWtfhDQCeel5\nyE/PR5QsKkgVBldIhQeXy4V169Zh+fLlPncJHDp0CBaLBbNmzfJsi4yMxNSpU7F//36GByIiQquz\nFZ/qPsWeyj0w2Uxe+6JkUchPz8fU9Kk9crGq7hRS4eHtt9+G3W7HwoULsX37dq99lZWVkEgkSEtL\n89qemZmJXbt2dWOVRETU07Q4WvDJiU+wt3Ivmu3NXvuiw6MxLWMapqRNgTxMHqQKe5aQCQ8GgwHP\nP/88/vznP0MqlfrsN5vNiIyMhEQi8dquUqlgtVpht9shk8m6q1wiIuoBmlqbUHy8GB8f/xg2p81r\nn1quxvTM6ZiUOgkyCd8ffi5kwsNzzz2H4cOHY8qUKcEuhYiIejiD1YDdFbuxX78fDpfDa1+/yH6Y\nkTUDv0r5FcLEIfM22alC4qyUlZVh27ZtePPNN2E2mwEAVqsVAGCxWCCRSKBUKtHS0gKXy+V19cFk\nMiEiIoJXHYiI+oBTzadQVF6EA9UH4HK7vPbFK+IxK3sWxiSNgVjEW9UvJCTCg06ng8PhwI033uiz\nb/LkyViwYAHmzp0Ll8sFnU6HjIwMz/7Kykqvr4mIKPRUm6uxq2wX/nfyfxAEwWtfiioFs7NnY0T8\nCIhEoiBV2LsEPTw4nU6IRCKfXoT2GDlyJN544w2vbfv378crr7yCTZs2ISUlBUlJSVAoFCgqKsLy\n5csBtF2d+Pjjj3HDDTdc0nMgIqKeqfxMOYrKi/Bd/Xc++zJjMjE7ezYGxw1maGinbg8PX3/9NYqL\ni/HNN9+gvLwczc1tXa0KhQKZmZkYMWIE8vPzMWrUqICPGRMTg7Fjx3ptq6mpAQCMGjXKM8PksmXL\nUFhYCJVK5Zkkyu12c0IkIqIQcm5Z7F1lu1B+ptxn/+D+gzEraxayY7ODUF1o6Jbw4HQ68c477+C1\n116DXq+HSqXC4MGDMXv2bKhUKgiCALPZjOrqamzbtg2bN29GcnIylixZghtuuMHv3RMdsWzZMrjd\nbmzcuBFGoxFDhgzB5s2b0a9fv045PhERBc+5dSeKyot8FqsSiUQYET8Cs7JnQavSBqnC0CESfvnh\nTxeYOnUqHA4H5s2bh5kzZ2Lw4MEXHH/06FEUFRXhvffeg0wmw0cffdTVJV5QdXU18vPzUVxcjOTk\n5KDWQkRE3hwuBz6v+hy7K3b7TCEtEUswLnkcpmdOR7wiPkgV9k4Xeu/rlisPy5cvx7XXXhvwHQ1D\nhgzBkCFDcPfdd+M///lPF1dHRES9UYujBftO7MNHxz+CudXstU8mkWFS6iRMy5gGTYQmSBWGrm4J\nD9dff32HHieTyTr8WJaPsIAAACAASURBVCIiCk1GmxHFlcX4VPepz8ROUbIoTE2birz0vD677kR3\nCPrdFkRERIGos9Rhd8Vuv3M0aCI0mJYxDRO1ExEeFh6kCvuOoIUHq9WKPXv2oLq6Gmaz2ee+W5FI\nhAcffDBI1RERUU9RcaYCH1Z8iCN1R3z2JUQnYHrmdIxJGsPZILtRUM70559/jt///vee2SD9YXgg\nIuq7BEHAt/Xf4sOKD1FxpsJnf4YmAzOzZmLYgGGcoyEIghIeHn/8cURFRXnWo1AoFMEog4iIehin\n24kvq7/E7ordqLPU+ewfNmAYZmTNQFZMVhCqo3OCEh7q6upw3333YcKECcH49kRE1MNc6M4JiViC\nsUljMT1zOhKiE4JUIf1cUMLDoEGDYDKZgvGtiYioB2lsaUTx8WJ8pv8Mrc5Wr33yMDkmp05GfkY+\n1HJ1kCokf4ISHtasWYMVK1Zg9OjRPtNKExFR6NMZddhTuQf/q/0f3ILba59arkZ+Rj4maSchQhoR\npArpQoISHoYPH44HHngAS5YsQUJCAhISEiAWey9/KhKJ8PrrrwejPCIi6gKCIOC7U99hT8UelDaW\n+uxPjE7E9MzpGJ00mndO9HBB+b/z7rvv4o9//KOnQ9ZisQSjDCIi6gYOlwMHqg9gb+Vev02QA/sN\nxPTM6bgs7jLeOdFLBCU8vPDCC7jssstQWFiI/v37B6MEIiLqYk2tTfjkxCf45MQnsNi9/0gUi8QY\nnTQa0zKmIUWVEqQKqaOCEh4MBgOWLl3K4EBEFIJqm2pRXFmMA9UH4HQ7vfada4LMS8/jmhO9WFDC\nwxVXXIHyct811omIqHcSBAE/nv4Reyr34PtT3/vsj4mIQX5GPiZqJ0IeJg9ChdSZghIeHnvsMSxb\ntgybN2/GggULEB0dHYwyiIjoEjlcDhysOYi9lXtR21Trsz9NnYZpmdMwMmEkxCKxnyNQbxSU8DBv\n3jw4nU4888wzeOaZ/8/encdFVe//A38N+74ju2yCoCCrgOaSWtliXbWuLVqZpZXmr695tbzXNr0t\nditvWZZkaWVX695suZbWdcnMFFQE2RQR2XdZBmSfOb8/jgwNMyionAPD6/l9+LjNOR+Y98wXh5ef\n8z6fzxuwsrKCsbGx1hiFQoGkpCQ5yiMioitQtipxMP8gDhYcRENrg9Y5hUKBSPdI3BxwMwIcA9gE\naYBkCQ/Tpk3jDxMR0SBUVF+Efef34VjJMZ1+BnMTc4z3GY9p/tPgau0qU4UkBVnCw+uvvy7H0xIR\n0VVQC2qkV6Rjb95eveszOFo6Yqr/VEwYPgFWplYyVEhS4yocRESkV3N7Mw4XHcaB8wdQ3VStcz7A\nMQDTAqaxn2EIkiQ8/Pzzz7jlllsk/1oiIuq7isYKHMg/gN+LftfZb8JIYYQYzxhM9Z+KAMcAmSok\nuUkSHl544QWsX78ec+bMwa233goPj8vvilZcXIw9e/bg3//+N5RKJcMDEVE/EwQBWVVZ2H9+PzIq\nM3TOW5laYaLvREzxm8L1GUia8LBv3z5s2bIFmzZtwhtvvIHhw4dj9OjR8Pb2hp2dHQRBgFKpRHFx\nMTIyMlBcXAx7e3vMmzcP8+fPl6JEIqIhqbWjFUeKj+DA+QN6l472sPXANP9piPeOh5mxmQwV0kAk\nSXiwtrbGU089hccffxz79+/HgQMHcPLkSezevRuCIAAQb+0ZPnw4oqOjsWLFCkyZMgWmpqZSlEdE\nNORUXqzEL/m/4HDhYbR0tGidUygUCB8Wjqn+UxHiEsK740iHpA2TpqammD59OqZPnw4AUKlUqK+v\nBwDY29vrrPVARETXT+eliQP5B5BRmaH5x1snCxML3DD8BtzodyOGWXP7AOqZrHdbGBsbw8nJSc4S\niIgMXktHC34v+h2/5P+CisYKnfNuNm6Y4jcF43zGcelo6hXeqklEZKDKGsrwS/4vOFJ8ROeuCQAI\nGxaGqf5TuRU29RnDAxGRAVELaqSVp+FA/gGcqT6jc56XJuh6YHggIjIAylYlfiv8Db8W/Ira5lqd\n8x62HpjqPxXxXvEwNzGXoUIyJAwPRESDlCAIyKvNw4H8A0gpS4FKrdI6b6QwQqR7JKb4T0GQUxAv\nTdB1w/BARDTItHa0IrkkGb/k/4JiZbHOeVtzW0wYPgGTfSdzQSfqFwwPRESDRFlDGQ4WHMSRoiM6\nazMAQKBTICb7TkaMZwxMjPjxTv1Htp+uQ4cO4T//+Q+KioqgVCp17jdWKBTYu3evTNUREQ0MHeoO\npJan4mD+Qb07WpoamyLOKw5T/KbAx95HhgppKJIlPGzevBlvvfUWnJ2dMWbMGIwcOVKOMoiIBqwL\nTRdwqPAQDhcehrJVqXPezcYNk30nY5zPOG6DTZKTJTx89tlniI+Px0cffcQlqImILlELamRWZuJg\nwUG9K0AaKYwQ4R6Byb6TuWw0yUqW8KBUKnHrrbcyOBARAahrqcPvRb/jUMEh1DTX6Jx3sHDARN+J\nmDB8AhwsHGSokEibLOEhPDwc+fn5cjw1EdGA0LnPxKHCQ0grT4NaUOuMGT1sNCb5TsIYtzEwUhjJ\nUCWRfrKEhxdeeAELFy7EmDFjcPvtt8tRAhGRLJStShwuPIzfCn9DdVO1znkbMxuM9xmPSb6T4Grt\nKkOFRFcmSXiYNWuW3uPLly/HSy+9BHd3d50dNRUKBXbu3ClFeURE/UoQBGRXZ+NQwSGklqfqnWUI\ndg7GJN9JiPKI4m2WNOBJ8hNqY2Oj95iPD28rIiLD1dnL8Fvhb7jQdEHnvJWpFcb5jMPE4RPhYesh\nQ4VEV0eS8PD5559L8TRERLLrvGPiUOEhpFek651lGOE0ApN8JyHaIxqmxmwcp8FHlrmxb7/9FrGx\nsfD29tZ7vqSkBMeOHcPMmTMlroyI6OpcaLqA34t+x+Giw3o3prI2s0aCdwJnGcggyBIeVq1ahTfe\neKPH8JCWloZVq1YxPBDRgNah7sCpilP4rfA3ZFVl6azLAIi9DBN9JyLKPYqzDGQwZAkP+v6C/VFT\nU5NOAyUR0UBR1lCGw0WHcaToCBrbGnXO25rbYpz3OEwYPgFuNm4yVEjUvyQLD6dPn8bp06c1j48f\nPw6VSqUzTqlUYseOHfD395eqNCKiK2rtaMXx0uP4rfA35NXm6ZxXKBQIdQnFRN+JGOM2hndMkEGT\n7Kd77969eO+99wCIf8m+/PJLfPnll3rH2tvb44033pCqNCIivQRBQF5tHg4XHcbx0uNo7WjVGeNo\n6YgbfG7AeJ/xcLZylqFKIulJFh7uu+8+3HTTTRAEAbNmzcKyZcswefJknXFWVlbw8vLiZQsikk19\nSz2OFh/F4aLDqGis0DlvbGSMCLcITBg+AaGuoVz9kYYcycKDi4sLXFxcAIgbYwUGBsLZmSmdiAaG\nzubH34t+R2Zlpt5bLD1sPTBh+ATEe8XD1txWhiqJBgZZLsrFxcXJ8bRERDqK6otwpPgIkoqT9DY/\nWphYYKzXWNzgcwP8HPy4kyURZAoPDz300GXPKxQKmJubw93dHfHx8Zg+fTpMTNh8RETXR2NbI5JL\nkvF70e8oqi/SOybYORg3DL8B0R7RMDM2k7hCooFNtls1KyoqUFhYCHt7e3h5eQEQF4eqr6+Hr68v\nbGxskJaWhq+++gqJiYnYsmULnJyc9H6/3bt347vvvkNmZiYaGxvh7++PBQsWYMaMGVrjvvrqK2ze\nvBllZWUICgrCihUrMG7cuH5/vUQkP5VahYzKDBwpPoJTFaegUuve7eVo6YjxPuMx3mc8XKxcZKiS\naHCQJTw8/fTTWLJkCV5//XXceeedmuZIlUqF77//HuvWrcO6desQERGBb775Bs8//zzWr1+PtWvX\n6v1+W7duhbe3N1atWgVHR0f8+uuvWL58OWpra/Hggw8CAHbt2oUXX3wRTz31FGJiYrBz5048/vjj\n+M9//oPg4GDJXjsRSavzskRySTIaWht0zpsamyLKPQrjfcZjpMtINj8S9YIs4eGNN97A7NmzdVaQ\nNDY2xqxZs5CTk4PXXnsNX375JWbPno3U1FTs37+/x+/3wQcfaM1KjBs3DpWVldiyZYsmPGzYsAEz\nZ87EkiVLAIh9F9nZ2UhMTMSbb77ZD6+SiOSibFUiqTgJR4uPolhZrHdMgGMAxvuMR4xnDKxMrSSu\nkGhwkyU8nDlzBn/60596PO/t7Y1//etfmsejR4/GN9980+N4fZczQkND8dNPPwEAioqKkJ+fj7/9\n7W+a80ZGRpg+fTo37SIyEO2qdqRVpOFI0RFkVmXqXcnWwcIB43zGYZz3OK78SHQNZAkPrq6u+Pnn\nn3H//ffDyEh7ilCtVmPPnj2a2zoBoK6uDvb29n16jtTUVM0qlXl54mpwAQEBWmMCAwNRV1eHmpqa\nHvspiGjgEgQBuTW5OFp8FMdLj6Olo0VnTOdliXE+4xDiEsLLEkTXgSzh4ZFHHsHatWsxd+5c3Hvv\nvfDx8QEAFBYW4ssvv0RaWhpWr16tGf/TTz8hPDy819//yJEj2Lt3L1599VUAQH19PQDAzs5Oa1xn\nIKmvr2d4IBpEKhorcLT4KJJKknCh6YLeMUHOQRjnPQ4xnjGwMLGQuEIiwyZLeJg7dy4UCgXeffdd\nPPfcc5r7pgVBgIODA1avXo25c+cCANra2rBixYoed+Dsrri4GMuXL8e0adMwe/bsfnsNRCSthtYG\nHC89jqPFR5Ffl693zDDrYUjwTkC8dzzvliDqR7ItnvDAAw/gz3/+MzIyMlBaWgoA8PT0RFhYGExN\nu7atNTMz6/XtlHV1dVi4cCE8PT21miA7ZxgaGhq0Zh86ZyT6ekmEiKTRpmpDWnkajhYfRVZVlt5V\nH61MrRDrGYtxPuPg7+DPRZyIJCDrykumpqaIiopCVFTUNX+v5uZmPPHEE2hvb8emTZtgaWmpOdfZ\n65CXl6dZU6LzsYODAy9ZEA0gakGN7KpsJJck42T5Sb2bURkbGWOM2xjEe8Uj3C2cO1gSSUzWv3G5\nubkoKirSzAB01/1Wzp50dHTg6aefRn5+Pnbs2KGzZ4aPjw/8/PywZ88eTJw4EUBXY2bnYyKSjyAI\nKKgvQHJJMo6VHIOyVal33AinEYj3jkeMRwyszawlrpKIOskSHgoLC7FixQqcOnVK7+1UgLhEdW/D\nw8svv4yDBw/ib3/7G+rq6pCamqo5N2rUKJiZmWHp0qVYsWIFvLy8EB0djW+//RYFBQV46623rstr\nIqK+q2isQFJJEpJLklF1sUrvGDcbNyR4JyDOK459DEQDhCzh4YUXXkBOTg7++te/IjY2VucuiL46\nfPgwAOCVV17RObdv3z54e3tjxowZaGpqwkcffYSNGzciKCgImzZt4uqSRBKrba7FsdJjSC5J7nFf\nCTtzO8R5xSHOKw7D7Yezj4FogJElPKSkpGDRokWa1R+v1eVWn/yjOXPmYM6cOdflOYmo9xrbGpFS\nloLkkmScvXBW7xgLEwtEe0QjziuOy0QTDXCyhAcHBwfe4UBk4Fo6WpBanorkkmRkV2XrvVPCxMgE\n4W7hiPOKQ/iwcJgam+r5TkQ00MgSHu699158//33eOCBBzSbYhHR4NemasOpilM4Xnoc6RXp6FB3\n6IxRKBQIcQlBnFccIt0jua8E0SAkS3gIDg7Gvn37MGvWLNxzzz3w8PDQWaYaAKZNmyZDdUTUF+2q\ndmRVZeFY6TGcqjil99ZKQNyIKs4rDjGeMbAzv7Y+JyKSlyzhYenSpZr/7lxCujuFQoHs7GypSiKi\nPuhQdyC7KhvHS48jtTxV754SAOBt5404rzjEesbC2cpZ7xgiGnxkCQ+fffaZHE9LRNdApVbhdPVp\nTWBoam/SO87dxh1jvcYi1jMW7jbuEldJRFKQJTzExcXJ8bRE1EedgeFE2QmklqfiYttFveNcrFw0\ngcHL1ou3VhIZOFlXmGxoaEBaWhpqamowfvx4zTbcarVabw8EEfW/DnUHzlSfwYmyEzhZdrLHGQZn\nK2fEeMQg1jOWazEQDTGyhYf3338fH330EVpaWqBQKPDJJ5/AxcUFtbW1mDJlClasWKHZWZOI+ldn\nD0NKWcplL0k4Wjoi1jMWsZ6x8LX3ZWAgGqJkCQ+ff/45NmzYgPvuuw833HCDVgOlo6MjbrrpJuzZ\ns4fhgagftavakVmViZSyFJyqOIXm9ma945wsnRDtEY0YzxjuWklEAGQKD1988QXuuOMOvPTSS6it\nrdU5HxoaiqNHj8pQGZFha+loQUZlBk6WnUR6ZXqPt1U6Wzkjyj0KsZ6x8HPwY2AgIi2yhIeSkhIs\nWLCgx/M2NjY97rRJRH3T1N6EtPI0nCw/iczKTL0LNwFi02OMZwyiPaJ5SYKILkuW8ODk5ITKysoe\nz2dnZ8PDw0PCiogMS31LPVLLU3Gy/CTOVJ/RuzQ0IO5YGeMhBgZvO28GBiLqFVnCw0033YTt27dj\n9uzZsLS01DqXnJyMr7/+GvPnz5ejNKJBq/JipRgYyk4irzavx3Hedt6I8ohCtEc0PGw8GBiIqM9k\nCQ//7//9PyQnJ+Ouu+7C2LFjoVAosGXLFnzwwQc4fvw4goOD8cQTT8hRGtGgIQgCipRFmsBQ2lDa\n41g/Bz9Ee0QjyiMKw6yHSVglERkiWcKDvb09vvrqK3zyySf4+eefYW5ujqNHj2L48OF48skn8dhj\nj+nMSBCRuGjT2ZqzSC1PRWp5KmqbdRuOAcBIYYRg52BEukci0j0SjpaOEldKRIZMtnUeLC0tsWTJ\nEixZskTnnEqlQnNzMwMEEcQ7JDIrM5FWkYb0ivQe12AwNTbFKNdRiHSPxBi3MbAxs5G4UiIaKmRd\nYbIniYmJePfdd7kxFg1Ztc21OFVxCmkVaThTfabHOySsTK0Q7haOSPdIjHYdDXMTc4krJaKhaECG\nB6KhRhAEFCuLkVaRhlMVp1BQV9DjWEdLR83liCCnIBgbGUtYKRERwwORbNpV7ci5kKMJDD31LwDi\nHRKR7pGIcI+Aj50P75AgIlkxPBBJqL6lHhmVGThVcQrZ1dk9rvBopDDCSJeRiHCLwBi3MXC2cpa4\nUiKinjE8EPUjQRBQWF+I9Mr0K16OsDK1QtiwMIxxG4OwYWGwNGXDMBENTJKFh9OnT/d6bHV1dT9W\nQtS/WjpakF2VjfTKdKRXpEPZquxx7DDrYRjjNgYR7hEY4TQCRgpuRU9EA59k4WHmzJm9vk4rCAKv\n6dKgIQgCKi5WIKMyA+kV6ThbcxYqtUrvWCOFEUY4jcAYtzEY4zYGbjZuEldLRHTtJAsPr732mlRP\nRdTv2lRtyLmQg/SKdGRUZqC6qefZMmsza83liFGuo2BlaiVhpURE159k4WHWrFlSPRXRdScIAiov\nViKjMgOZVZnIuZCDdlV7j+N97H0QPiwcYcPC4O/oz8sRRGRQ2DBJ1IPWjlacuXAGmZWZyKzKRNXF\nqh7HmpuYI9QlFOFuYmBwsHCQsFIiImkxPBBdIggCShpKkFWVhczKTOTW5Pa4siMAeNh6IGxYGMKG\nhWGE0wiYGPGvExENDfy0oyGtsa0R2VXZyKzKRFZVFupb6nsca25ijhCXEIQNC8No19Fce4GIhiyG\nBxpSOtQdyKvNQ1ZVFrKqslBYXwhBEHoc72XnhdGuozF62GjOLhARXcJPQjJogiCgvLFcExZyLuSg\nTdXW43grUyuMch2F0cNGY5TrKPYuEBHpwfBABqe+pR6nq08jqyoLp6tPo66lrsexRgoj+Dv6i4HB\ndTR8HXx5ZwQR0RUwPNCg19LRgpwLOThdfRrZVdkobSi97HhXa1eEuoRi9LDRGOk8kstAExH1EcMD\nDTqdfQvZVdk4c+EMzteeh1pQ9zje0tQSIS4hGOU6CqEuoXC1dpWwWiIiw8PwQAOeWlCjsL4Qp6tP\n43T1aeTW5F52gSZjI2MEOgYi1DUUo1xHYbj9cF6KICK6jhgeaMARBAHFymKcuXAGZ6rPIOdCDlo6\nWi77NT72Pgh1CUWISwhGOI2AuYm5RNUSEQ09DA8kO0EQUNZYhjPVZ3DmghgWLrZdvOzXDLMehhCX\nEIS4hGCky0jYmNlIVC0RETE8kOQEQUBpQylyLuRo/jS2NV72axwsHLTCgpOlk0TVEhFRdwwP1O/U\ngholyhJNUDhbc/aKMwu25rYY6TwSI11GYqTzSAyzHsZt2omIBgiGB7ruVGoVCusLcbbmLHIu5CC3\nJhfN7c2X/RobMxsEOwdrwoK7jTvDAhHRAMXwQNesTdWG87XncbbmLM5eOIu82rzLruIIiDMLQU5B\nmsDgYePBsEBENEgwPFCfNbY14lzNOeTW5OJszVkU1BVcdp0FALAzt0OwczCCnIM4s0BENMgxPNBl\nCYKAqqYqTVg4V3sOZQ1lV/w6ZytnjHAagWDnYAQ7B8PVypVhgYjIQDA8kJYOdQcK6wtxruYcztWe\nw7mac1C2Kq/4dR62HghyCsIIpxEIcg7i3RBERAaM4WGIU7YqkVebpwkLBXUF6FB3XPZrjI2M4Wvv\nixFOIzR/rM2sJaqYiIjkxvAwhKjUKpQ0lCCvNk8TGKqbqq/4dZamlgh0DNQEBT8HP5gam0pQMRER\nDUQMDwasrqUO52vP43zdeeTV5iG/Lv+ye0J0crV2RaBjIAKdxMDAOyGIiOiPGB4MRGtHKwrrC3G+\n7rwmMNQ2117x60yMTODn4IcAxwAEOgUi0DEQtua2ElRMRESDFcPDIKQW1ChtKEV+XT7y6/JxvvY8\nShtKr3i7JCDeBeHv4K8JC9523jAx4o8BERH1Hn9rDHCdt0oW1BUgvy4fBfUFKKgruOIiTABgZmwG\nXwdfTVgIcAyAvYW9BFUTEZEhG3LhITc3F2vXrkVqaipsbW3x5z//GU899RSMjY3lLg2CIKCmuQYF\n9QUorC8Uw0JdAZram674tQqFAu427vB38Ie/oz/8HfzhZecFI4WRBJUTEdFQMqTCQ319PebPn48R\nI0Zg48aNKCwsxLp166BWq7Fs2TJJa+kMCoX1hZqwUFBXcMXdJTs5WjrCz8FP64+FiUU/V01ERDTE\nwsOOHTvQ2tqK9957DzY2NrjhhhvQ2NiI9957DwsXLoSNjU2/PK8gCKhuqkZhfaHWn94GBWsza/g5\n+MHX3lcTFHj5gYiI5DKkwsOvv/6KCRMmaIWEO+64A2+++SaSk5MxderUa34OlVqFssYyFCuLNSGh\nqL4ILR0tvfp6CxML+Dr4wtfeF74OYlhwtnTmrZJERDRgDKnwkJeXh4SEBK1jnp6esLS0RF5e3lWH\nh+b2ZuzK2YWzNWdRoiy54gqNnSxMLDDcfrhWWOAeEERENNANqfCgVCpha6u7hoGdnR2Uyivv39CT\nXTm7sDdv72XHWJtZY7j9cK0/DApERDQYDanw0F8cLBy0HjtZOsHH3gc+dj6aoOBg4cCgQEREBmFI\nhQc7Ozs0Nuo2KSqVStjZ2V31950WMA2BToFoU7XBx86Hm0QREZFBG1LhISAgAHl5eVrHysrK0Nzc\njICAgB6/TqVSAQDKy8t7HGN26f9qW2pRiysvC01ERDSQdf7O6/wd+EdDKjxMmjQJH3/8MRobGzV3\nXPz444+wsLBAXFxcj19XVVUFAJg7d64kdRIREQ0UVVVV8PX11TqmEARBkKkeydXX1+OOO+5AUFAQ\nFi5ciKKiIrz++ut46KGHLrtIVEtLCzIyMuDq6jogVqIkIiLqbyqVClVVVQgLC4OFhfYihEMqPADi\n8tRr1qxBamoq7OzscM8992Dp0qUMBURERL005MIDERERXRvumkRERER9wvBAREREfcLwQERERH3C\n8HCNcnNz8fDDDyMiIgITJkzAO++8o/eeWEOxe/duPPHEE5g4cSKioqIwe/Zs7Nq1S2fcV199hVtu\nuQXh4eGYPXs2jhw5IkO10qmoqEBUVBRGjhyJixcvao4LgoAPP/wQkydPxpgxYzB37lxkZ2fLWOn1\n19HRgcTERNxyyy0ICwvDpEmT8Oqrr2qNGQrvww8//IBZs2YhKioKEydOxMqVK1FRUaE1xtDeh4KC\nArzwwgu48847ERoaigcffFBnTG9f82D+LL3S+1BZWYl169bhrrvuQlRUFCZPnoxnn31W5+cDED9L\nlixZgqioKMTHx2PNmjVobm6W6qX0GsPDNaivr8f8+fOhUCiwceNGLFmyBFu2bMG7774rd2n9ZuvW\nrbC2tsaqVauwceNGxMfHY/ny5fj88881Y3bt2oUXX3wRf/rTn/DRRx9hxIgRePzxx5GTkyNj5f3r\njTfegJWVlc7xxMREbNy4EQsXLsSHH34IKysrzJ8/X7N2iCF47rnn8Nlnn2HBggX45JNPsHz5cp3b\nugz9fdi3bx+eeeYZREVFYePGjfjLX/6C48eP4/HHH4dardaMM7T34ezZszh48CD8/f3h5+end0xv\nXvNg/yy90vuQmZmJvXv3YsaMGfjggw+wcuVKpKWl4f7779f6x0Z7ezseffRRlJaWYv369fjb3/6G\nPXv24Pnnn5fw1fSSQFftww8/FGJjY4WGhgbNscTERGHMmDFaxwzJhQsXdI4988wzwpQpUzSPb7nl\nFuG5557TPFapVMKMGTOE5cuXS1Kj1JKTk4WxY8cKmzdvFoKDg4XGxkZBEAShpaVFiI6OFjZs2KAZ\ne/HiRSE+Pl54++235Sr3ujp48KAwatQo4ezZsz2OGQrvw//93/8Js2bN0jq2d+9eITg4WMjNzRUE\nwTDfB5VKpfnvpUuXCvPmzdM639vXPNg/S6/0PtTX1wvt7e1ax/Ly8oTg4GBh586dmmP//e9/hZCQ\nEKGwsFBz7IcffhBGjhwpnD9/vn+Kv0qcebgGv/76KyZMmKBZrRIA7rjjDrS0tCA5OVnGyvqPk5OT\nzrHQ0FBUVlYCAIqKipCfn4/bbrtNc97IyAjTp0/HoUOHJKtTKiqVCmvXrsXixYvh6OiodS4lJQWN\njY1a74WVlRWmeqAFSQAAIABJREFUTJliMO/F119/jYSEBIwYMaLHMUPhfejo6ND6HACg2S9HuHQ3\nvCG+D0ZGl/8V0tvXPNg/S6/0PtjZ2cHERHtBZ39/f1haWmo+OwHxfQgPD4ePj4/m2E033QRTU9MB\n9zPC8HAN8vLydPbE8PT0hKWlpc4eGoYsNTUV/v7+AKB53d3fl8DAQNTV1aGmpkby+vrTjh070NbW\npnfp8ry8PBgbG+tMYwYGBhrMz8epU6fg5+eHNWvWIDo6GhEREXjqqae0ruUOhffh7rvvxokTJ/Dt\nt9+isbER58+fxz//+U+tYDUU3ofuevuah+Jn6enTp9Hc3Kz13uh7H8zMzDB8+PAB9z4wPFwDpVIJ\nW1tbneN2dnZQKpUyVCS9I0eOYO/evXjkkUcAiNcuAejsUmpvb6913hDU1tbinXfewapVq2Bqaqpz\nXqlUwsrKSmf1Unt7ezQ3N6OtrU2qUvtNVVUVdu7ciezsbKxfvx6vvfYaMjMz8dRTT2n+xT0U3ocb\nb7wRr732Gp5//nnExMTg1ltvhUqlwoYNGzRjhsL70F1vX/NQ+yxVq9V45ZVX4Ofnh6lTp2qOD6b3\nYUhtjEXXV3FxMZYvX45p06Zh9uzZcpcjufXr1yMiIgKTJ0+WuxTZbdy4UXPZxtXVFfPmzcPRo0cx\nbtw4mSuTxtGjR/Hiiy/ioYcewqRJk3DhwgVs2LABS5YswdatW7n8PWl56623kJqaim3btun9h8dg\nwPBwDezs7NDY2KhzXKlU6vzL29DU1dVh4cKF8PT0xJtvvqk53jnD0NDQoPUedM44dJ4f7M6ePYud\nO3di27Ztmn8RdN5O1djYCGNjY9jZ2aGpqQkqlUrrl0d9fT0sLS1hZmYmS+3Xk52dHXx8fLT6PWJi\nYmBqaorc3FyMGzduSLwP69atw9SpU7FixQrNsZCQENx2223Yt28fbrnlliHxPnTX29c8lD5Lv/ji\nC3z88cd4++23ERERoXXucu9DSEiIVCX2Ci9bXIOAgACd61BlZWVobm7WuW5lSJqbm/HEE0+gvb0d\nmzZtgqWlpeZc5+vu/r7k5eXBwcFBb8PlYFRQUID29nbce++9GDt2LMaOHYs1a9YAELd+X7t2LQIC\nAqBSqVBQUKD1tfquaw5WgYGBmssT3XU2kQ2F9yEvLw+hoaFaxwICAmBhYYHCwkLNY0N/H7rr7Wse\nKp+lP/30E/7+979jxYoVuP3223XO63sf2traUFRUNODeB4aHazBp0iT89ttvWknxxx9/hIWFBeLi\n4mSsrP90dHTg6aefRn5+PjZv3gxnZ2et8z4+PvDz88OePXs0x9RqNfbs2YOJEydKXW6/iY6Oxmef\nfab1Z+HChQDE+9offfRRREdHw8bGRuu9aG5uxoEDBwzmvbjxxhuRk5Oj1Qh77NgxtLe3Y+TIkQAw\nJN4HT09PZGVlaR07d+4cWlpa4OXlBWBovA/d9fY1D4XP0qSkJPzlL3/BvHnz8Oijj+odM2nSJKSn\np6OkpERzbP/+/WhraxtwPyPGL7300ktyFzFYBQUF4csvv0RSUhKGDRuG33//HW+//TYefvhhg70O\n/uKLL+LHH3/E8uXLYW9vj/Lycs0fJycnGBsbw9HREe+++y6MjIygUqnw/vvv4/jx41i3bp1O2Bis\nLC0t4e3trfWnvLwc+/btw8svvww3NzfNrVkffvgh7OzscPHiRbz22msoLy/HunXr9C4qNdgEBwdj\n586d+OWXX+Ds7IyMjAy8/PLLGDNmDBYvXgwAQ+J9UKlU2LJlCxobG2FkZISTJ0/ipZdegrW1Nf76\n17/C1NTUIN+H5uZm7Nu3D7m5ufjtt99QX18PZ2dn5ObmwsvLS7NY2JVe82D/LL3S+1BYWIhHHnkE\nvr6+WLhwISoqKjSfm21tbZrLuf7+/vj555/x888/w93dHRkZGXjllVcwbdo0zJkzR+ZXqY1bcl+j\n3NxcrFmzBqmpqbCzs8M999yDpUuXGmyD1NSpU7VS8R/t27cP3t7eAMTlqT/66COUlZUhKCgIK1eu\nNPjmuZ07d2LVqlVISUmBtbU1gK6lebdv3466ujqEhYVh9erVGDVqlMzVXj8FBQX4+9//jmPHjsHU\n1BTTpk3DqlWrtPpbDP19EAQB27dvx/bt21FUVARbW1vExMRg+fLlWvfsG9r7UFxcjGnTpuk91/l5\n0NvXPJg/S6/0PiQnJ2PVqlV6z8+aNQuvv/665nF5eTnWrFmDI0eOwMzMDLfffjtWrlypdXl4IGB4\nICIioj5hzwMRERH1CcMDERER9QnDAxEREfUJwwMRERH1CcMDERER9QnDAxEREfUJwwMRERH1CcMD\nERER9QnDAxEREfUJwwMRERH1CcMDERER9YmJ3AUMBi0tLcjIyICrq+ug2KSFiIjoWqlUKlRVVSEs\nLEyzQ2onhodeyMjIwNy5c+Uug4iISHJffPEFYmNjtY4xPPSCq6srAPENdHd3l7kaIiKia3DxIpCT\nA1hYAKGhPQ4rLy/H3LlzNb8D/4jhoRc6L1W4u7vD29tb5mqIiIj6qK0NSEsDkpKAzExArRaPP/kk\nEBl52S/Vd7me4YGIiMgQqdXAmTPA0aPAyZNAa6vuGIXiqr41wwMREZGhEASgqEicYTh2DKiv1z8u\nMBC48UYgIuKqnobhgYiIaLCrrgaSk8U/ZWX6x7i5AQkJQFwc4OJyTU/H8EBERDQYXbwInDghzjLk\n5uofY2cHjB0LxMcDw4df9WWK7hgeiIiIBov2diA9XexjyMgAVCrdMebmYhNkfLx4N4XR9V8PkuGB\niIhoIFOrxVsrk5PFmYaWFt0xRkbAqFFiYIiIEANEP2J4ICIiGmgEASgpES9JJCcDdXX6x/n7i4Eh\nNhawtZWsPIYHIiKigaK2VgwLR48CpaX6x7i6ioEhPh4YNkza+i5heCAiIpJTUxOQkiLOMuTk6B9j\nayvOLsTHA35+163x8WoxPBAREUmto0NsfExKEv+3o0N3jKmp2PiYkCA2Pg6gjRkZHoiIiKQgCOIt\nlUlJYuNjU5PuGIUCCAkRA0NkpLj/xADE8EBERNSfSkvFPoakJKCmRv8YX1/xksTYseLaDAMcwwP1\nSKVSQaVSwczMTO5SiIgGl7o6cXnopCRxuWh9nJ27Gh8H2Y7NDA+k8dxzzyEnJweLFy/G+vXrkZ+f\nj08//VRnH3ciItKjpaWr8fHMGfEyRXfW1kBMjHhZIiBA9sbHq8XwQFpKSkrwj3/8A4sXL4arqyu3\nICciupyODiArSwwMaWniCpDdmZiICzfFxwOjR4uPB7nB/wrouqqrq8PWrVsRGhoqdylERAOTIAB5\neWJgOH5c3GOiO4UCGDlS3IQqOhqwtJS+zn7E8NCf/vc/4L//1b+Hen8zNwfuvBO4+eY+fZmbmxuD\nAxGRPuXlXSs+VlfrH+PtLc4wxMUBDg7S1ichhof+9L//yRMcAPF5//e/PocHl2vcppWIyKAolV2N\njwUF+sc4OnY1Pnp6SlufTBge+tPNN8s789DH4EBERBA/s0+eFGcYsrL0Nz5aWYmNj3FxQFDQoG18\nvFoMD/3p5pv5C5yIaDBQqYDsbHFPibQ0oK1Nd4yJCRAeLs4whIcbROPj1Rq6r5yIiIY2QQDy87sa\nHxsa9I8LDhYDQ3S0OONAhhEedu7ciVWrVukcf+mll3D//fcDAARBwKZNm7B9+3bU1tYiPDwcq1ev\nZnMgEdFQU1nZteJjZaX+MZ6e4iWJ+HjAyUna+gYBgwgPnT799FNY/GEdcB8fH81/JyYmYuPGjVi5\nciUCAgKwZcsWzJ8/H7t27YKrq6sc5Q44r7/+utwlEBH1j4YGcXYhKQk4f17/GAeHrsDg5TXk+hj6\nwqDCQ3h4OKytrXWOt7a2IjExEYsWLcK8efMAAJGRkZg6dSq2bduGZcuWSV0qERH1t9ZW4NQpsY8h\nKwtQq3XHWFiIlyPi48XLE0ZG0tc5CBlUeOhJSkoKGhsbcdttt2mOWVlZYcqUKTh06BDDAxGRoVCr\ngdOnxRmGkyf13+1mbAyEhYmzDBER4tbX1CcGFR5uvvlm1NXVwcfHB4888gjuu+8+AEBeXh6MjY3h\n5+enNT4wMBC7d++WoVIiIrpuBEHcfKpzASelUv+4wEBxT4mYGHGPCbpqsoSHs2fPIiUlBbm5uait\nrYVCoYCjoyMCAwMRFRWF4ODgPn0/V1dXPP300xgzZgxUKhV+/PFHvPjii2hpacH8+fOhVCphZWUF\nY2Njra+zt7dHc3Mz2trauHMkEdFgU13d1fhYXq5/jLt714qPXATvupEsPNTU1GDHjh347rvvUFhY\nCEEQYGpqCnt7ewiCAKVSifb2digUCnh7e2PmzJm4//774dSLLteJEydi4sSJmseTJ09Ga2srPvjg\nAzz00EP9+bKIiEhKFy8CJ06IfQznzukfY2cHjB0rzjL4+LDxsR9IEh7efPNNfPHFF7CxscH06dMx\nfvx4jB49Gm5ublrjKioqkJmZicOHD2PHjh3YvHkzHnzwQTzzzDN9fs7p06dj9+7dKCkpgZ2dHZqa\nmqBSqbRmH+rr62FpaclZByKigay9XWx8TEoCMjLEBZ26MzcHoqLEWYaQEDY+9jNJwsOJEyfw5ptv\nYurUqVBcJgG6ubnBzc0NU6dOxerVq7F//35s3rz5qp7zj88TEBAAlUqFgoICBAQEaI7n5eVpPSYi\nogFCrQZycsTAkJICtLTojjEyAkaNEmcYxowRAwRJQpLwsH379j5/jUKhwLRp0zBt2rSres6ffvoJ\njo6O8PLywrBhw2BjY4M9e/Zg8eLFAIDm5mYcOHAAc+bMuarvT0RE15kgAMXFYh9DcjJQV6d/nL+/\nOMMQGwvY2kpbIwEwkLstli5divDwcIwcORJqtRo//vgjfvzxR6xevRpGRkYwNzfHokWLsHHjRtjb\n22sWiVKr1XjwwQflLp+IaGirqelqfCwt1T9m2LCuxsdhw6Stj3TIGh5UKhWqqqpQX18PQc+uZSEh\nIb36Pv7+/vj6669RXl4OQRAwYsQIrFu3DjNnztSMWbRoEdRqNTZt2oS6ujqEhYVhy5Yt3IKaiEgO\nTU1i42Nysnh5Qh9bW3F2IT4e8PNj4+MAohD0/dbuZ0qlEm+88Qb++9//ok3PzmWCIEChUCA7O1vq\n0vQqLi7GtGnTsG/fPnh7e8tdDhHR4NTRAaSnizMM6eni4+7MzMSFmxISgNBQcUEnksXlfvfJMvPw\n7LPP4pdffsHtt9+OiIgI2PKaFRGRYRIE4OxZMTCcOAE0N+uOUSjExsf4eCAyko2Pg4As4eH333/H\nww8/jOeee06Opyciov5WWioGhqQkoLZW/xhfXzEwjB0rrs1Ag4Ys4cHJyYnT/0REhqa2Fjh2TAwM\nxcX6x7i4iIEhPh7ottYPDR6yhIe5c+fiu+++w3333QcTE4O44YOIaGhqbhY3oEpKAs6cES9TdGdt\nLc4uxMeLt1my8XHQk+U392OPPQaVSoUZM2bgzjvvhLu7u86+EwC07pYgIqIBoqMDyMwUA0Namv7G\nR1NTsfExLg4YPRrgPxQNiiz/3ywsLMSuXbuQn5+PDRs26B2jUCgYHoiIBgpBAPLyxMBw/Li4x0R3\nCgUwcqQ4wxAdDVhYSF8nSUKW8PDXv/4VxcXF+Mtf/sK7LYiIBrLy8q6trqur9Y/x8elqfHRwkLY+\nkoUs4SEjIwNPPvkkHnvsMTmenoiILqe+Xmx8TE4GCgr0j3FyEi9JxMcDnp7S1keykyU8eHh4sFGS\niGggaWkBUlPFWYbsbP2Nj1ZWQEyMGBhGjGDj4xAmy2/wJUuWYP369ZgxY4bOttxERCQRlUoMCkeP\nisGhvV13jImJuGNlXBwQHs7GRwIgU3hIT0+HjY0Npk+fjgkTJui920KhUHARKSKi600QgPx8cYbh\n2DGgsVH/uODgrsZHKytJS6SBT5bw8Omnn2r+e+/evXrHMDwQEV1HlZVdKz5WVekf4+kp7ikxdqzY\n00DUA1nCw+nTp+V4WiKioaWhQbyt8uhRcbZBHweHrsZHrvxLvcSLV0REhqS1FTh1SgwMWVmAWq07\nxsKiq/ExKAgwMpK+ThrUBkR4aOzhmpuNjY3ElRARDUJqtdj4mJwsLhXd2qo7xtgYCAsTL0uEh4sr\nQBJdJVnCQ1tbGz7++GN88803KC0thUql0jsuOztb4sqIiAYJQQAKC7saH5VK/eNGjBBnGGJixD0m\niK4DWcLDiy++iG+//RYRERGYMmUKV5gkIuqt6uquxseKCv1j3N27dq50dpa2PhoSZAkPe/bswcyZ\nM/Haa6/J8fRERINLY6PY+JicDJw7p3+MnV1X46OPDxdwon4lS3iwsrJCeHi4HE9NRDQ4tLeLO1Ym\nJQEZGfobH83NxXUY4uPFDanY+EgSkSU8zJw5E/v27cMDDzwgx9MTEQ1MajWQkyMGhpQUccno7oyM\nxC2uExLElR/NzKSvk4Y8WcLDM888gzVr1uChhx7C7Nmz9a4wCQBjx46VoToiIgkJAlBc3NX4WFen\nf1xAgDjDEBsL8E40kpks4UGpVKK8vBzJyck4duyYznlBEKBQKHi3BREZrgsXxB6G5GSgtFT/mGHD\nxMAQFyf+N9EAIUt4WLVqFQ4fPoz7778fERERXM+BiIaGpibgxAlxluHsWf1jbG3F2YWEBMDXl42P\nNCDJEh6SkpKwYMECPPPMM3I8PRGRdNrbgfR0cYYhPR3o6NAdY2YGREaKswyhoeKCTkQDmCzhwdHR\nES4uLnI8NRFR/xMEcWYhKUmcaWhu1h2jUACjRomBITJSvHOCaJCQJTw8/PDD+M9//oM///nPsLS0\nlKMEIqLrr6REDAzJyUBtrf4xvr5iYBg7VlybgWgQkiU8KBQKGBkZ4ZZbbsHtt98ODw8PGHW7P1mh\nUODBBx+Uozwiot6rrRXvkkhKEu+a0MfFpWvFRzc3aesj6geyhIdXX31V89+ffvqp3jEMD0Q0YDU3\ni+swJCWJ6zIIgu4Ya2txdiEuTrzNko2PZEBkCQ/79u2T42mJiK5eRweQmSludX3qlP7GR1NTICJC\nnGEYPZqNj2SwZAkPXl5e/fr9KyoqcOutt6KpqQkpKSmwvrSTnCAI2LRpE7Zv347a2lqEh4dj9erV\nCA0N7dd6iGiQEgRxL4nOxseLF3XHKBRASIgYGKKiAAsL6eskkpgs4aG/vfHGG7CyskJTU5PW8cTE\nRGzcuBErV65EQEAAtmzZgvnz52PXrl1wdXWVqVoiGnDKyroaHy9c0D/Gx6er8dHBQdr6iGQmyS4q\nd911F3bt2oUOfdN8Pejo6MD333+Pu+66q0/PdezYMRw6dAgLFizQOt7a2orExEQsWrQI8+bNw/jx\n4/HOO+9AoVBg27ZtfXoOIjJA9fXA3r3AK68AL70E7N6tGxycnIDbbhPPr14N3HwzgwMNSZLMPNx+\n++1Yu3Yt1q5di2nTpmH8+PEYNWoUvL29YXZpU5e2tjYUFRUhIyMDR44cwf79+6FQKHRCwOWoVCqs\nXbsWixcvhl23W6BSUlLQ2NiI2267TXPMysoKU6ZMwaFDh7Bs2bLr82KJaPBoaQFSU8U+htOn9Tc+\nWlmJKz7GxQEjRrDxkQgShYcnnngC8+bNw7///W9888032LlzJxSX/gKam5tDEAS0tbUBEPsSgoKC\nsHjxYtx9992wtbXt9fPs2LEDbW1tmDt3Lv773/9qncvLy4OxsTH8/Py0jgcGBmL37t3X9gKJaPBQ\nqYCsLPGyRGqquAJkdyYm4o6V8fFAWJj4mIg0JPsbYWNjg0ceeQSPPPIIiouLcfLkSeTl5aHu0g5y\nDg4OCAgIQGRkJHx8fPr8/Wtra/HOO+/gH//4B0xNTXXOK5VKWFlZ6ezeaW9vj+bmZrS1tWlmQYjI\nwAgCcP68GBiOHwcaG3XHKBRAcHBX46OVlfR1Eg0SssRpb29veHt7X9fvuX79ekRERGDy5MnX9fsS\n0SBWUSE2PSYlAVVV+sd4eXXtXOnoKG19RIOUQczFnT17Fjt37sS2bdugVCoBAM2X1pJvbGyEsbEx\n7Ozs0NTUBJVKpTX7UF9fD0tLS846EBmKhoauFR/z8/WPcXAQw0J8PHCd/yFDNBQYRHgoKChAe3s7\n7r33Xp1zkyZNwj333IMZM2ZApVKhoKAAAQEBmvN5eXlaj4loEGptFfsXkpKA7GxArdYdY2EBxMSI\nW10HBbHxkegaGER4iI6OxmeffaZ17NChQ/joo4+QmJgIHx8feHl5wcbGBnv27MHixYsBiLMTBw4c\nwJw5c+Qom4iuhVotBoXOxsfWVt0xxsZAeLg4wxAeLq4ASUTXzCDCg5OTE+Lj47WOlZSUAABiY2M1\nK0wuWrQIGzduhL29vWaRKLVazT00iAYLQQAKC7sWcGpo0D9uxAgxMMTEiHtMENF1ZRDhobcWLVoE\ntVqNTZs2oa6uDmFhYdiyZQtcXFzkLo2ILqeqqiswVFToH+Ph0dX46OwsbX1EQ4zBhofZs2dj9uzZ\nWscUCgWefPJJPPnkkzJVRUS91tAg7ieRlATk5ekfY28vLg8dHy8uF80+BiJJyBIejhw5gszMTDz2\n2GOaY9988w3effddtLa2YsaMGXj22Wd11mQgIgPX1gakpYkzDBkZ+hsfzc3FdRgSEoCRIwEjSVbZ\nJ6I/kCU8bNiwAR4eHprH586dw/PPP4+QkBD4+vpi27ZtcHFxwaJFi+Qoj4ikpFYDZ86IMwwpKfob\nH42MxJUe4+PFlR95azWRrGQJD+fOncMtt9yiefz999/D2toa27Ztg4WFBWxsbPDdd98xPBAZKkEA\niovFPSWOHRM3pdInMFDsYYiNBWxspK2RiHokS3hobm7W2rPi0KFDmDhxIiwsLAAAYWFh+P777+Uo\njYj604ULXSs+lpXpH+Pm1rWAk6urtPURUa/IEh48PDyQm5sLAKioqEB2djYeeughzfn6+nqu+Ehk\nKC5eFC9HJCUBZ8/qH2Nr2xUYhg9n4yPRACdLeLjzzjuxadMmtLW1IS0tDXZ2dpg6darmfEZGhs7u\nl0Q0iLS3A+npYmBITxd3suzO3ByIjBQDQ2goGx+JBhFZwsMTTzyB9vZ2HDx4ELa2tnj//fdhZ2cH\nAKirq8OxY8e0ZiKIaBAQBHFm4ehRcabh0v4yWoyMxKCQkABERIgBgogGHVnCg4mJCZYtW4Zly5bp\nnHNwcMDhw4dlqIqIrkpJSdcCTrW1+sf4+YkzDLGxwKV/KBDR4GWwi0QRUT+qrRXDQnKyeNeEPi4u\nYmCIjxebIInIYMgSHlatWnXFMQqFAq+++qoE1RBRrzQ1ASdPipclzp4VL1N0Z23dteKjvz8bH4kM\nlCzhISkpSeeYWq1GVVUVVCoVnJycYGlpKUNlRKSlo0Nc6TEpCTh1SnzcnalpV+PjqFHiTpZEZNBk\nCQ/79+/Xe7y9vR1ffvklPv30U3zyyScSV0VEAMQZhdxc8ZLE8ePijEN3CgUQEiIGhqgo4NIaLUQ0\nNAyongdTU1PMmzcPubm5WLt2LRITE+UuiWjoKCvrany8cEH/mOHDxcAwdqy4KRURDUkDKjx0CgkJ\nwXfffSd3GUSGr65OXB46KQkoKtI/xtm5a6vrP+xJQ0RD14AMD7///jt7Hoj6S0uL2PiYlAScPq2/\n8dHKSrytMj5e3F+CjY9E9AeyhIf33ntP7/GGhgYcO3YMWVlZ3BSL6HpSqYDMTDEwpKWJK0B2Z2Ii\nLtwUHw+MHi0+JiLSY0CFB3t7e/j4+ODll1/GnDlzJK6KyMAIAnD+vBgYjh0T95joTqEARo4UL0lE\nRwOc8SOiXpAlPJw+fVqOpyUaGioqxMCQlARUV+sf4+3d1fjo6ChtfUQ06HFeksgQKJXi7EJyMpCf\nr3+Mo2PXzpVeXpKWR0SGRZLwUFpaCgDw9PTUenwlneOJSI/WViA1VZxhyM4G1GrdMZaWQEyMGBiC\ngtj4SETXhSThYerUqVAoFEhLS4OZmZnm8ZVkZ2dLUB3RIKJWi0EhKUm8Y6KtTXeMiQkQHi7OMoSH\niytAEhFdR5KEh1dffRUKhQKmlz7EOh8TUS8IAlBQ0NX42NCgf1xQkDjDEBMj3mpJRNRPJAkPs2fP\nvuxjItKjqqqr8bGyUv8YD4+uBZycnaWtj4iGLDZMEg0kDQ3AiRNiYMjL0z/G3l68SyIhQbxrgrN4\nRCQxScJDb7bg7o5bctOQ0dYmLtyUlCQu5KSv8dHCQlyHIT4eCA4GjIykr5OI6BJJwoO+LbhbWlpQ\nU1MDQFwcCgDq6+sBgFtyk+FTq4EzZ8TAkJIi3jnRnZEREBYmBoaICDY+EtGAIUl46L4Fd25uLhYs\nWIDHH38cDz/8MJycnAAANTU1+PTTT/Htt99yR00yPIIgbj7V2fh4KSzrCAgQL0nExAA2NtLWSETU\nC7L0PKxduxaTJk3CsmXLtI47OTlh2bJluHDhAtauXYutW7fKUR7R9VVdLS7elJQElJfrH+PmJgaG\nuDjAxUXa+oiI+kiW8JCWlobp06f3eH7UqFH44YcfJKyI6Dq7eLGr8TE3V/8YOzux8TE+Hhg+nI2P\nRDRoyBIe7O3t8dtvv+GBBx7Qe/7XX3+Fra1tr7/fnj17sHXrVpw/fx5NTU3w9PTEn/70Jzz22GMw\nMzMDAAiCgE2bNmH79u2ora1FeHg4Vq9ejdDQ0OvymojQ3g6cOiUGhowMcSfL7szNgchIMTCEhrLx\nkYgGJVnCw7333ot3330XS5cuxbx58+Dr6wsAyM/Px7Zt23Dw4EEsXbq019+vrq4O8fHxePTRR2Fr\na4tTp07hvffeQ3V1NV544QUAQGJiIjZu3IiVK1ciICAAW7Zswfz587Fr1y64urr2y+ukIUCtBnJy\nuhofW1p0xxgZAaNGdTU+mptLXycR0XUkS3hYvHgx2tra8PHHH2Pv3r1a54yNjbFo0SIsXry419/v\nvvvu03qVazDsAAAblElEQVSckJCAixcv4osvvsDzzz+PtrY2JCYmYtGiRZg3bx4AIDIyElOnTsW2\nbdt0ei+Irqi4WAwMyclAXZ3+Mf7+YmCIjQX6MJNGRDTQybZI1P/93//hoYcewpEjR1BSUgIA8PLy\nwrhx4zR3X1wLBwcHtLe3AwBSUlLQ2NiI2267TXPeysoKU6ZMwaFDhxgeqHdqa8WwcPQo0NPmbq6u\nYmCIjweGDZO2PiIiici6wqSTkxPuuOOO6/b9VCoV2trakJmZic8//xz3338/FAoF8vLyYGxsDD8/\nP63xgYGB2L1793V7fjJATU3i5YikJPHyhD42NmLjY1ycONvAxkciMnCyL0/d2NiIxsZGqPWsqtfX\nLbkjIyPRdmmXwZkzZ2LlypUAAKVSCSsrKxgbG2uNt7e3R3NzM9ra2jSNlUTo6ADS08XAkJ4uPu7O\n1FRsfExIEBsfu/1sEREZMtnCw7/+9S9s3boVRUVFPY7p65bcO3bsQHNzM9LT0/H+++9jzZo1eOml\nl66xUhoSBEG8pTIpSbzFsqlJd4xCAYSEiIEhMlJcMpqIaAiSJTxs374da9aswYQJE3D33Xdj/fr1\nmD9/PszNzbFz5064uLjgwQcf7PP3HT16NAAgNjYWjo6OePbZZ7FgwQLY2dmhqakJKpVKa/ahvr4e\nlpaWnHUYykpLuxZwurRcug5fX/GSxNix4qZURERDnCzhYdu2bZgwYQI2b96M2tparF+/HpMnT8a4\ncePw2GOP4e6770ZdTx3svTRq1CgAQHFxMQICAqBSqVBQUICAgADNmLy8PK3HNETU1YnLQyclictF\n6+Ps3LXVtYeHtPUREQ1wsoSHwsJCzQJRppc2++m8M8LW1hb33HMP/vWvf2HBggVX/RwpKSkAAG9v\nb7i5ucHGxgZ79uzR3ALa3NyMAwcOYM6cOdfyUmiwaGnpanw8c0a8TNGdtbW4n0RCgri/BBsfiYj0\nkiU82NraQnVp9T0bGxtYWlqi/A9r/ltbW6O6urrX3+/RRx/F+PHjMWLECBgbGyMlJQVbtmzB7bff\njuHDhwMAFi1ahI0bN8Le3l6zSJRarb6qyyM0SHR0AFlZYmBISxNXgOzOxERcuCk+Hhg9WnxMRESX\nJcsnZVBQEE6fPq15HBERge3bt2Py5MlQq9X48ssvdW6rvJzw8HB88803KCkpgbGxMXx8fPDMM89o\nLR61aNEiqNVqbNq0CXV1dQgLC8OWLVvgwk2IDIsgAHl5YmA4flzcY6I7hQIYOVK8JBEdDXD7dyKi\nPlEIgr752/719ddfY8eOHfjiiy9gZmaGEydO4JFHHtFcujAxMcGGDRtw4403Sl2aXsXFxZg2bRr2\n7dsHb29vucshfcrLu1Z87GnWytu7q4/BwUHa+oiIBpnL/e6TZebh7rvvxt133615HBMTgx9++AH7\n9++HsbExbrjhBvj7+8tRGg0mSmVX42NBgf4xjo5dKz72cd0QIiLSb8Bc4PXx8cHDDz8sdxk00LW2\nAqmpYmDIytLf+GhlJV6OSEgARoxg4yMR0XU2YMLDH/32229ITEzEZ599JncpNBCo1V2Nj6mpwKVV\nRLWYmADh4eIMQ3g4Gx+JiPqR5J+w6enpKCoqgp2dHcaOHQvzP2xP/OOPP2Lz5s3IysqCnZ2d1KXR\nQCII4qWIo0fFxseGBv3jgoLEwBATI844EBFRv5MsPCiVSjz++ONITU3VHHN2dkZiYiLMzc2xYsUK\nZGVlwcvLC6tWrcI999wjVWk0kFRWdq34WFmpf4yHh3hJYuxYcTEnIiKSlGTh4Z///CdOnjyJO+64\nA9HR0SgpKcH27dvx3HPPoaamBnZ2dnj77bdx6623wsjISKqyaCBoaBBnF5KTxdss9XFwEO+SiIsT\n75pgHwMRkWwkCw8HDhzAHXfcgbfeektzLDg4GM899xwSEhKQmJjIPSaGkrY2ceGmo0fFfgY9u6rC\nwkJsfIyPB4KDAYZKIqIBQbLwUFVVhYSEBK1j8fHxAID77ruPwWEoUKvFpaGPHgVOnhTvnOjOyEhs\neIyLE1d+vLR8ORERDRyShYeOjg5YdNvCuPOxPXcqNFyCABQWipckkpPFtRn0CQwU+xhiYsQ9JoiI\naMCS9G6LsrIyrWWpGy510BcXF2sd7xQSEiJZbXSdVVd3NT7+Yd8SLe7uXSs+cplwIqJBQ9LwsH79\neqxfv17n+AsvvKD1WBAEKBQKZGdnS1UaXQ8XL4qNj0lJwLlz+sfY2XU1Pg4fzsZHIqJBSLLw8Npr\nr0n1VCSl9nax8TE5GUhP19/4aG4OREWJswwhIWx8JCIa5CQLD7NmzZLqqai/qdVATo44w5CSArS0\n6I4xMgJGjRL7GMaMEQMEEREZBK7hS70jCEBJSdfOlXV1+sf5+4szDLGxgK2ttDUSEZEkGB7o8mpq\nuhofS0v1jxk2rKvxcdgwaesjIiLJMTyQrqYm4MQJMTCcPat/jK2tOLsQHw/4+bHxkYhoCGF4IFFH\nh9jwmJQk/m9Hh+4YU9OuxsfQUMDYWPo6iYhIdgwPQ5kgALm5YmA4cUKccehOoRAbH+PigMhIcclo\nIiIa0hgehqLS0q7Gx5oa/WN8fcUZhrFjxbUZiIiILmF4GCrq6rqWiC4q0j/GxUWcYYiPF1d/JCIi\n0oPhwZA1N4sbUCUliRtSCYLuGGvrrsbHgAA2PhIR0RUxPBiajg4gM1MMDKdOiStAdmdqKi7clJAg\n9jOY8MeAiIh6j781DIEgAHl54lbXJ06Ie0x0p1AAI0eKMwxRUYClpfR1EhGRQWB4GMzKy7saH6ur\n9Y/x8elqfHRwkLY+IiIySAwPg41SCRw7JoaGggL9YxwdxcbHhATA01Pa+oiIyOAxPAwGLS1AaqoY\nGLKz9Tc+WlkBMTHiLMOIEWx8JCKifsPwMFCpVGJQOHpUDA76Gh9NTMTGx7g4IDycjY9ERCQJ/rYZ\nSAQByM8XZxiOHQMaG/WPCw4WZxiio8UZByIiIgkxPAwElZVdjY+VlfrHeHqKPQxjxwJOTtLWR0RE\n9AcMD3JpaACOHxcvS+Tn6x/j4NC14qO3t6TlERER9cQgwsPu3bvx3XffITMzE42NjfD398eCBQsw\nY8YMrXFfffUVNm/ejLKyMgQFBWHFihUYN26cdIW2tgJpaeIsQ1YWoFbrjrGw6Gp8DAoCjIykq4+I\niKgXDCI8bN26Fd7e3li1ahUcHR3x66+/Yvny5aitrcWDDz4IANi1axdefPFFPPXU/2/vzoOauvY4\ngH+FBxWQiOJWEGVREEUwIC4dFoUWBbUKdWo74lYmxQGVKopS9KmItdQFlRERrAjqaLVN7aAWHGix\nKihaROs2GiObGuWBYTO+hHDfHzyuvSYWUAgQfp8ZZsg554ZzfsPc/HLvuecsgYuLC4RCIYKDg/Hj\njz/C1ta2/TrX0NA48TE/v3Gp6P/+V7WNri7g4NCYMDg6Nq4ASQghhHRSWpE87N27F33/Ng9g4sSJ\nePbsGVJSUtjkIT4+HrNmzUJoaCgAYNy4cbhz5w6SkpKwbdu2tu0QwwAlJa8mPlZXq29nY9OYMIwd\n27jHBCGEENIFaEXy0FfNBEJ7e3tkZmYCAEpLS1FUVISoqCi2XkdHB1OmTMGhQ4fariP/+U/jFYZL\nl4CnT9W3GTSoMWEYN65xF0tCCCGki9GK5EGdwsJCWFlZAQDEYjEAwNramtPGxsYGUqkUlZWVahOQ\nFpNKge+/B+7dU1/P472a+GhhQQs4EUII6dK0MnnIy8tDVlYWvvnmGwBAVVUVAIDH43Ha9e7dm61/\np+Th9GnVxOG99xo3oJowoXFDKpr4SAghREtoXfJQVlaG8PBweHt7IyAgQDN/1MYG+OOPxgRh1KjG\nKwxOToC+vmb+PiGEEKJBWpU8SKVSCAQCmJmZcSZBNl1hqKmp4Vx9aLoi0VT/1iZMAEaObFwemlZ8\nJIQQouW0JnmQyWRYvHgxFAoF9u3bBwMDA7auaa6DWCyGubk5Wy4Wi2FiYtLsLQulUgkAkEgkzXek\nsvItek8IIYR0Lk2feU2fgX+nFclDfX09wsLCUFRUhGPHjsHU1JRTb2FhAUtLS2RkZMDd3R0A0NDQ\nwHn9T8rLywEAc+fObfvOE0IIIZ1YeXk5hg4dyinTiuRh48aNOHfuHKKioiCVSlFYWMjWjRw5Evr6\n+li6dClWrVoFc3NzODs74+TJkyguLsb27dubfX8HBwccOXIE/fv3h66ubnsOhRBCCOkUlEolysvL\n4eDgoFLXg2EYpgP61Ka8vLzw6NEjtXXZ2dkY/P99IY4fP47k5GR2eeqIiAjNLk9NCCGEaAGtSB4I\nIYQQojm0+AAhhBBCWoWSB0IIIYS0CiUPhBBCCGkVSh7ekUgkwoIFC+Dk5AQ3Nzfs2rVL7TOx2uLX\nX3/F4sWL4e7uDj6fj4CAAJw6dUql3fHjx+Hj44PRo0cjICAAeXl5HdBbzXn69Cn4fD7s7OxQV1fH\nljMMg8TERHh6esLR0RFz587FnTt3OrCnba++vh5JSUnw8fGBg4MDPDw82KXhm3SHOJw+fRr+/v7g\n8/lwd3dHREQEnr62QZ62xaG4uBj//ve/MWPGDNjb27O7GP9dS8fclc+lzcXh2bNniI2Nxccffww+\nnw9PT0+sXr1a5f8DaDyXhIaGgs/nY/z48YiOjoZMJtPUUFqMkod3UFVVhYULF6JHjx5ISEhAaGgo\nUlJSsHv37o7uWrs5ePAgjIyMEBkZiYSEBIwfPx7h4eGc3UlPnTqF9evXY+bMmUhOTsawYcMQHByM\ne2/aOEwLfPfddzBUs7poUlISEhISIBAIkJiYCENDQyxcuJBdO0QbrFmzBmlpafjiiy9w4MABhIeH\no2fPnpw22h6H7OxsrFixAnw+HwkJCVi5ciWuXr2K4OBgNDQ0sO20LQ7379/HuXPnYGVlBUtLS7Vt\nWjLmrn4ubS4Ot27dQlZWFqZPn469e/ciIiIC169fx+eff875sqFQKBAUFITHjx8jLi4OUVFRyMjI\nwLp16zQ4mhZiyFtLTExkxo4dy9TU1LBlSUlJjKOjI6dMm1RUVKiUrVixgpk8eTL72sfHh1mzZg37\nWqlUMtOnT2fCw8M10kdNy8/PZ1xdXZn9+/cztra2TG1tLcMwDPPy5UvG2dmZiY+PZ9vW1dUx48eP\nZ3bs2NFR3W1T586dY0aOHMncv3//jW26Qxy++uorxt/fn1OWlZXF2NraMiKRiGEY7YyDUqlkf1+6\ndCkTGBjIqW/pmLv6ubS5OFRVVTEKhYJTJhaLGVtbW0YoFLJl6enpzIgRI5iSkhK27PTp04ydnR3z\n8OHD9un8W6IrD+/gjz/+gJubG3r16sWWTZs2DS9fvkR+fn4H9qz9qFvK297eHs+ePQMAlJaWoqio\nCL6+vmy9jo4OpkyZgvPnz2usn5qiVCqxadMmhISEoE+fPpy6goIC1NbWcmJhaGiIyZMna00sfvrp\nJ0yYMAHDhg17Y5vuEIf6+nrOeQB4tYsv8/+n4bUxDjrN7Bbc0jF39XNpc3Hg8Xj417+4azJaWVnB\nwMCAPXcCjXEYPXo0LCws2LIPP/wQenp6ne5/hJKHdyAWi9l9M5qYmZnBwMAAYrG4g3qleYWFhbCy\nsgIAdtyvx8XGxgZSqRSVWrb3x7FjxyCXy9UuXS4Wi6Grq6tyGdPGxkZr/j9u3LgBS0tLREdHw9nZ\nGU5OTliyZAnnXm53iMMnn3yCP//8EydPnkRtbS0ePnyInTt3chKr7hCH17V0zN3xXHr37l3IZDJO\nbNTFQV9fH0OGDOl0caDk4R1UV1fD2NhYpZzH46G6uroDeqR5eXl5yMrKwqJFiwC82qn077uXAq92\nLm2q1wbPnz/Hrl27EBkZCT09PZX66upqGBoaqixp3rt3b8hkMsjlck11td2Ul5dDKBTizp07iIuL\nw5YtW3Dr1i0sWbKE/cbdHeIwadIkbNmyBevWrYOLiwumTp0KpVKJ+Ph4tk13iMPrWjrm7nYubWho\nwObNm2FpaQkvLy+2vCvFQSv2tiAdo6ysDOHh4fD29kZAQEBHd0fj4uLi4OTkBE9Pz47uSodLSEhg\nb9v0798fgYGBuHTpUrdZ/v3SpUtYv3495s+fDw8PD1RUVCA+Ph6hoaE4ePAg7YlDOLZv347CwkIc\nPnxY7ReProCSh3fA4/FQW1urUl5dXa3yzVvbSKVSCAQCmJmZYdu2bWx50xWGmpoaTgyarjg01Xd1\n9+/fh1AoxOHDh9lvBE2PU9XW1kJXVxc8Hg8vXryAUqnkfHhUVVXBwMAA+vr6HdL3tsTj8WBhYcGZ\n7+Hi4gI9PT2IRCJMnDixW8QhNjYWXl5eWLVqFVs2YsQI+Pr6Ijs7Gz4+Pt0iDq9r6Zi707n0yJEj\n+P7777Fjxw44OTlx6v4pDiNGjNBUF1uEblu8A2tra5X7UE+ePIFMJlO5b6VNZDIZFi9eDIVCgX37\n9sHAwICtaxr363ERi8UwMTFRO+GyKyouLoZCocCcOXPg6uoKV1dXREdHAwA8PDywadMmWFtbQ6lU\nori4mHOsuvuaXZWNjQ17e+J1TZPIukMcxGIx7O3tOWXW1tbo2bMnSkpK2NfaHofXtXTM3eVcmpmZ\niZiYGKxatQp+fn4q9eriIJfLUVpa2uniQMnDO/Dw8MCFCxc4meKZM2fQs2dPjBs3rgN71n7q6+sR\nFhaGoqIi7N+/H6amppx6CwsLWFpaIiMjgy1raGhARkYG3N3dNd3dduPs7Iy0tDTOj0AgAND4XHtQ\nUBCcnZ3Rq1cvTixkMhl+//13rYnFpEmTcO/ePc5E2CtXrkChUMDOzg4AukUczMzMcPv2bU7ZgwcP\n8PLlS5ibmwPoHnF4XUvH3B3OpZcvX8bKlSsRGBiIoKAgtW08PDzw119/cXaJ/u233yCXyzvd/4ju\nhg0bNnR0J7qq4cOH44cffsDly5cxYMAA5ObmYseOHViwYIHW3gdfv349zpw5g/DwcPTu3RsSiYT9\n6du3L3R1ddGnTx/s3r0bOjo6UCqV2LNnD65evYrY2FiVZKOrMjAwwODBgzk/EokE2dnZ2LhxIwYO\nHMg+mpWYmAgej4e6ujps2bIFEokEsbGxaheV6mpsbW0hFAqRk5MDU1NT3Lx5Exs3boSjoyNCQkIA\noFvEQalUIiUlBbW1tdDR0cG1a9ewYcMGGBkZ4euvv4aenp5WxkEmkyE7OxsikQgXLlxAVVUVTE1N\nIRKJYG5uzi4W1tyYu/q5tLk4lJSUYNGiRRg6dCgEAgGePn3Knjflcjl7O9fKygpnz57F2bNnMWjQ\nINy8eRObN2+Gt7c3Pv300w4eJRdtyf2ORCIRoqOjUVhYCB6Ph9mzZ2Pp0qVaO0HKy8uLkxX/XXZ2\nNgYPHgygcXnq5ORkPHnyBMOHD0dERITWT54TCoWIjIxEQUEBjIyMALxamvfo0aOQSqVwcHDA2rVr\nMXLkyA7ubdspLi5GTEwMrly5Aj09PXh7eyMyMpIzv0Xb48AwDI4ePYqjR4+itLQUxsbGcHFxQXh4\nOOeZfW2LQ1lZGby9vdXWNZ0PWjrmrnwubS4O+fn5iIyMVFvv7++Pb7/9ln0tkUgQHR2NvLw86Ovr\nw8/PDxEREZzbw50BJQ+EEEIIaRWa80AIIYSQVqHkgRBCCCGtQskDIYQQQlqFkgdCCCGEtAolD4QQ\nQghpFUoeCCGEENIqlDwQQtqUUCiEnZ0dysrKOqwP69atQ3BwcKuOiYuL63QL8RDSWdHGWISQZjUt\nNd2c7Ozsdu5J80pKSiAUCpGamtqq4+bNm4eUlBTk5ORg0qRJ7dM5QrQELRJFCGnWL7/8wnmdmpqK\nx48fq6ya99FHH+G9995DfX099PX10aNHD012EwAQExODvLw8nD59utXHLl++HBUVFUhLS2uHnhGi\nPejKAyGkWTNnzuS8zszMhFQqVSlv0lFLCsvlcqSnp2PevHlvdfzUqVMRFhaGR48esRtaEUJU0ZwH\nQkibUjfnwcvLCyEhIbh48SL8/f3h6OgIf39/3LhxAwDw888/Y8qUKRg9ejQCAwNRWlqq8r4FBQVY\ntGgRnJ2dMWbMGCxcuBA3b95UaSOVStXuo3Lo0CFMmzYNTk5OcHV1RUBAANLT0zltPvjgAwCNOxkS\nQt6MkgdCiEaIxWKsXr0a3t7eWL58OSQSCYKDg3HixAkkJiZizpw5EAgEuH79OtauXcs5Njc3F/Pn\nz4dcLseyZcsQFhYGiUSCwMBAiEQitt21a9ego6MDe3t7zvHHjx9HTEwMxowZg6ioKCxZsgR2dna4\nfv06p52xsTGGDBmCgoKC9gsEIVqAblsQQjTi4cOHOHHiBBwdHQEAAwcOxPLly7F161ZkZmaiT58+\nAID6+nrs27cPT548wfvvv4+GhgZs2LABbm5uSExMZN9v9uzZ8PX1xZ49exAXFwegMUHp27evyvbW\nOTk58PT0xObNm5vtp4WFBSchIYSooisPhBCNsLOzYxMHAHBycgLQeEujKXEAwLZpuu1x9+5dFBcX\nY9q0aaisrGR/FAoFXFxckJ+fzx4rlUrB4/FU/jaPx4NIJMKDBw+a7SePx8Pz58/fbpCEdBN05YEQ\nohFmZmac18bGxgCAQYMGqS2vqqoCABQVFQEAVq5cqfZ9dXS434HUPUAmEAiQm5sLPz8/2NjYwM3N\nDdOnT+ckM38/viOeEiGkK6HkgRCiEa9/yDdp7smMpmQgMjIStra2/9jWxMQEt27dUim3sbFBRkYG\ncnJycP78eZw5cwapqalYtmwZQkNDOW2rq6s5V0IIIaooeSCEdGoWFhYAGm8nND0N8SbW1tY4deoU\n6urqYGRkxKkzNDSEn58f/Pz8oFAosGzZMiQkJEAgEEBfX59tV1ZWhlGjRrX9QAjRIjTngRDSqY0a\nNQoWFhY4cOAAZDKZSn1lZSX7+5gxY9DQ0IDbt29z2rw+h0FPTw/Dhw9HQ0MD5HI5W15TU4OSkhLw\n+fw2HgUh2oWuPBBCOjVdXV1s2rQJX375JWbMmIFZs2ZhwIABkEgkuHjxIoYMGYKtW7cCAFxcXGBi\nYoLc3Fy4urqy7xEUFIR+/fqBz+ejX79+EIvFOHLkCDw9PdGrVy+2XW5uLoDGSZyEkDej5IEQ0ulN\nnDgRx44dw549e3Do0CG8ePECAwYMAJ/Px2effca209fXx4wZM5CRkYGwsDC2fM6cOUhPT8fBgwfx\n4sULDBo0CIGBgQgJCeH8nYyMDLi6umLw4MEaGxshXRHtbUEI0SolJSXw9fVFamoqxo4d2+LjKioq\nMHnyZOzcuZOuPBDSDJrzQAjRKkOGDEFAQACSk5NbdVxaWhrs7OwocSCkBejKAyGEEEJaha48EEII\nIaRVKHkghBBCSKtQ8kAIIYSQVqHkgRBCCCGtQskDIYQQQlqFkgdCCCGEtAolD4QQQghpFUoeCCGE\nENIq/wM1t3NUVSgK9gAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "subplot(3, 1, 1)\n", + "plot(thetas, label='theta')\n", + "decorate(ylabel='Angle (rad)')\n", + "\n", + "subplot(3, 1, 2)\n", + "plot(ys, color='green', label='y')\n", + "decorate(ylabel='Length (m)')\n", + "\n", + "subplot(3, 1, 3)\n", + "plot(rs, color='red', label='r')\n", + "\n", + "decorate(xlabel='Time(s)',\n", + " ylabel='Radius (mm)')\n", + "\n", + "savefig('chap11-fig01.pdf')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can use interpolation to find the time when `y` is 47 meters." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(125.33333334940457)" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "T = interp_inverse(ys, kind='cubic')\n", + "t_end = T(47)\n", + "t_end" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "At that point `r` is 55 mm, which is `Rmax`, as expected." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(55.00000000448797)" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "R = interpolate(rs, kind='cubic')\n", + "R(t_end)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The total amount of rotation is 1253 rad." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(1253.3333334940455)" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "THETA = interpolate(thetas, kind='cubic')\n", + "THETA(t_end)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Unrolling" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For unrolling the paper, we need more units:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "kg = UNITS.kilogram\n", + "N = UNITS.newton" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And a few more parameters in the `Condition` object." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "condition = Condition(Rmin = 0.02 * m,\n", + " Rmax = 0.055 * m,\n", + " Mcore = 15e-3 * kg,\n", + " Mroll = 215e-3 * kg,\n", + " L = 47 * m,\n", + " tension = 2e-4 * N,\n", + " duration = 180 * s)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`make_system` computes `rho_h`, which we'll need to compute moment of inertia, and `k`, which we'll use to compute `r`." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def make_system(condition):\n", + " \"\"\"Make a system object.\n", + " \n", + " condition: Condition with Rmin, Rmax, Mcore, Mroll,\n", + " L, tension, and duration\n", + " \n", + " returns: System with init, k, rho_h, Rmin, Rmax,\n", + " Mcore, Mroll, ts\n", + " \"\"\"\n", + " unpack(condition)\n", + " \n", + " init = State(theta = 0 * radian,\n", + " omega = 0 * radian/s,\n", + " y = L)\n", + " \n", + " area = pi * (Rmax**2 - Rmin**2)\n", + " rho_h = Mroll / area\n", + " k = (Rmax**2 - Rmin**2) / 2 / L / radian \n", + " ts = linspace(0, duration, 101)\n", + " \n", + " return System(init=init, k=k, rho_h=rho_h,\n", + " Rmin=Rmin, Rmax=Rmax,\n", + " Mcore=Mcore, Mroll=Mroll, \n", + " ts=ts)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Testing `make_system`" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + 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    \n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
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    thetaomegay
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    " + ], + "text/plain": [ + " theta omega y\n", + "172.8 503.376998 6.830222 22.852269\n", + "174.6 515.788219 6.960580 22.346268\n", + "176.4 528.437150 7.094376 21.835001\n", + "178.2 541.330151 7.231802 21.318468\n", + "180.0 554.473940 7.373066 20.796665" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "system.results.tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Extrating the time series" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "thetas = system.results.theta\n", + "omegas = system.results.omega\n", + "ys = system.results.y" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plotting `theta`" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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E3FVNYyt+zNWfsTgyeJQZa2RaZg8WrVaLt99+G2vXroWTk5PevtzcXCgUCsybN48tEwgE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\nmNT/A0+AXM1TsdzFAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(thetas, label='theta')\n", + "\n", + "decorate(xlabel='Time (s)',\n", + " ylabel='Angle (rad)')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plotting `omega`" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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/KOsE9HdN+zRapYR05eeVQnJCCKFCrhYCDBgwgL59+3L27Flj4ToP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\nqecK8Ti5MxDiER4eHibH5cuXB8Dd3T3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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(omegas, color='orange', label='omega')\n", + "\n", + "decorate(xlabel='Time (s)',\n", + " ylabel='Angular velocity (rad/s)')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plotting `y`" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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rEyFExeZq68rktpOp71Rfbfvl/C+sPL5SRsmtpIy+0mjevDmXLl0qtQMPHz6c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\n5tg3nLll/Dh+FZ2EhhBClCI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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(ys, color='green', label='y')\n", + "\n", + "decorate(xlabel='Time (s)',\n", + " ylabel='Length (m)')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here's the figure from the book." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure to file chap11-fig02.pdf\n" + ] + }, + { + "data": { + "image/png": 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UwMBADAYDvr6+tY6n1+sxGAxOP78QQlwKc42FlFPF/HGsgCJDVa3tgXoP+ncL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\nMSAipVFXV8eyZcsQG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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "subplot(3, 1, 1)\n", + "plot(thetas, label='theta')\n", + "decorate(ylabel='Angle (rad)')\n", + "\n", + "subplot(3, 1, 2)\n", + "plot(omegas, color='orange', label='omega')\n", + "decorate(ylabel='Angular velocity (rad/s)')\n", + "\n", + "subplot(3, 1, 3)\n", + "plot(ys, color='green', label='y')\n", + "\n", + "decorate(xlabel='Time(s)',\n", + " ylabel='Length (m)')\n", + "\n", + "savefig('chap11-fig02.pdf')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Yo-yo" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercise:** Simulate the descent of a yo-yo. How long does it take to reach the end of the string.\n", + "\n", + "I provide a `Condition` object with the system parameters:\n", + "\n", + "* `Rmin` is the radius of the axle. `Rmax` is the radius of the axle plus rolled string.\n", + "\n", + "* `Rout` is the radius of the yo-yo body. `mass` is the total mass of the yo-yo, ignoring the string. \n", + "\n", + "* `L` is the length of the string.\n", + "\n", + "* `g` is the acceleration of gravity." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "condition = Condition(Rmin = 8e-3 * m,\n", + " Rmax = 16e-3 * m,\n", + " Rout = 35e-3 * m,\n", + " mass = 50e-3 * kg,\n", + " L = 1 * m,\n", + " g = 9.8 * m / s**2,\n", + " duration = 1 * s)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here's a `make_system` function that computes `I` and `k` based on the system parameters.\n", + "\n", + "I estimated `I` by modeling the yo-yo as a solid cylinder with uniform density ([see here](https://en.wikipedia.org/wiki/List_of_moments_of_inertia)). In reality, the distribution of weight in a yo-yo is often designed to achieve desired effects. But we'll keep it simple." + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def make_system(condition):\n", + " \"\"\"Make a system object.\n", + " \n", + " condition: Condition with Rmin, Rmax, Rout, \n", + " mass, L, g, duration\n", + " \n", + " returns: System with init, k, Rmin, Rmax, mass,\n", + " I, g, ts\n", + " \"\"\"\n", + " unpack(condition)\n", + " \n", + " init = State(theta = 0 * radian,\n", + " omega = 0 * radian/s,\n", + " y = L,\n", + " v = 0 * m / s)\n", + " \n", + " I = mass * Rout**2 / 2\n", + " k = (Rmax**2 - Rmin**2) / 2 / L / radian \n", + " ts = linspace(0, duration, 101)\n", + " \n", + " return System(init=init, k=k,\n", + " Rmin=Rmin, Rmax=Rmax,\n", + " mass=mass, I=I, g=g,\n", + " ts=ts)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Testing `make_system`" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    " + ], + "text/plain": [ + " theta omega y v\n", + "0.96 67.11465 144.630635 -1.143965e-08 -1.994692\n", + "0.97 67.11465 144.630635 -1.143965e-08 -1.994692\n", + "0.98 67.11465 144.630635 -1.143965e-08 -1.994692\n", + "0.99 67.11465 144.630635 -1.143965e-08 -1.994692\n", + "1.00 67.11465 144.630635 -1.143965e-08 -1.994692" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "system.results.tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot the results." + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "thetas = system.results.theta\n", + "ys = system.results.y" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`theta` should increase and accelerate." + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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h3eRKRDSLek91plKp6NevX6OvPmoNGjTI2MA+ZcoUnn/+eQBKS0txdnauM9ui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\nIUSjSJAIIYRoFAkSIYQQjfL/AWbPccehEBX8AAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(thetas, label='theta')\n", + "\n", + "decorate(xlabel='Time (s)',\n", + " ylabel='Angle (rad)')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`y` should decrease and accelerate down." + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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zRp15CCFq1tO4J1Z4r2BmTn5eYGgUGVGlJu+5BAYGvrR9+fLlWLt2LXr27Nlo\n4koOh4OTJ0+qNiEhROUsjC2wbMQyfB33NXMPJjI+EouHL4Zd16aXvCBEWU0WlxdnJn6xzdbWVq2B\nCCHto6dxz4YCc+1rVNRWMM/BLB2xFH1M+7Adj2i5JovLoUOH2jMHIYQFliaWWDZiGTNM+cUC00vQ\ni+14RIspfc/lt99+Q3Z2dpOv5+Tk4LffflNJKEJI+7EyscLS4UuZJ/mr6qvw7fVvkS1q+v93Ql5F\n6eKyevVqJCUlNfl6cnIyVq9erZJQhJD2Zc23xtLh/52LrLKuEt9e/xZ5FXksJyPaSuni8qplX6qq\nqtq0MiUhhF22AlssHv7f2ZQraiuw7fo2FFQWsJyMaKNmn9B/+PAhHj58yGwnJiZCKpU22k8kEuHo\n0aPo27ev6hMSQtpNH9M+WDx8Mb69/i1qJbUorynHtmvbsMJ7BcyMzNiOR7RIs8Xlzz//RFRUFICG\nYcbHjh3DsWPHXrqvQCBARESE6hMSQtqVXVc7LPRciMj4SNRL61FSXYJvrn2Dj30+hqmBKdvxiJZo\ntrhMnz4dY8eOhVwuR2BgIJYuXYpRo0Y12s/IyAjW1tZ0WYyQDsLBzAHzPeZjZ8JOSGQSFFUV4dvr\n32L5iOUw0TdhOx7RAs0Wl+7du6N79+4AGiautLe3h5kZnRoT0hkM7jEYc93nYteNXZDJZciryMP2\n+O1YNmIZc+OfkKYofUPf09OTCgshnYyzhTNmDZsFDocDAMgqz8KO+B2oldSynIxoOqWn3P/ggw+a\nfZ3D4UBfXx89e/aEl5cXxo8fDx2dFq1FRgjRQO5W7qiT1uHH2z8CAISlQuy8sRNhnmHQ5dEs6eTl\nWjQUOT8/HwkJCXj06BHEYjHEYjEePXqEhIQE5Ofno7i4GOfOncPy5csxZcoUlJSUqDM7IaSdeNt6\nY7rTdGb7UdEj7L65G1JZ49GjhAAtKC6LFy9GeXk5Nm3ahLi4OJw8eRInT55EXFwcNm7ciPLycnz6\n6ae4fv06NmzYgLS0NGzbtk2d2Qkh7Wh039GYPHAys33n2R0cuH3glc/Akc5J6eISERGBd955B5Mn\nT1YYFcbj8RAYGIjAwEBs3LgRHA4H77zzDqZMmYK///5bLaEJIeyY0H8Cxvcbz2wn5CTg57s/U4Eh\njShdXB49egQbG5smX7exsVF44NLR0RHl5eVtS0cI0TiBAwMxqs9/H0m4nHEZvz/6ncVERBMpXVx6\n9OiB8+fPQyaTNXpNJpPhjz/+YIYtA0BZWRkEAoFqUhJCNAaHw8E/nP4BLxsvpu1s6lmcf3KexVRE\n0yg9nGvmzJn48ssvERQUhPc5kdgxAAAfoklEQVTee49Z1yUzMxPHjh1DcnIyPvnkE2b/c+fOYciQ\nIapPTAhhHYfDQbBLMKrqq3D32V0AwIn7J9BFtwt8evmwnI5oAqWLS1BQEDgcDiIjI7Fq1Spm3Ltc\nLoepqSk++eQTBAUFAQDq6urw8ccfN3sZjRCi3XhcHua6zcX2+O1ILU4FABy6cwhGukZwtXRlOR1h\nG0fewjtx9fX1SElJQW5uLgDAysoKTk5O0NVt+Xj3tLQ0fPnll7h9+zZMTEwwbdo0LFy4UOlpZGQy\nGaZOnYp79+7hu+++w+jRo5vdPzs7G/7+/oiJiaHCR4iKVNdX4+trXyOrPAsAoMPVwSKvRRjQfQDL\nyYiqtOa7U+l7Ls/p6urC1dUVEydOxMSJE+Hq6tqqwlJeXo6QkBBwOBxER0djwYIF2L9/PyIjI5V+\nj+PHj+PZs2ct/mxCiOoY6hpisddiWBhbAAAkMgl23tiJjLIMlpMRNrX4Efq0tDRkZWU1ORJs8uTJ\nL23/X0ePHkVtbS2ioqJgbGwMHx8fiMViREVFITQ0FMbGxs32Ly8vx7Zt27B8+XKFez2EkPZnom+C\nxV6LEREbgbKaMtRKahEZH4mVPiuZokM6F6WLS2ZmJj7++GPcuXOnyTHtHA5H6eJy+fJl+Pr6KhSR\niRMnYuvWrUhISMCYMWOa7b99+3YMGzYMI0aMUPYQCCFqZGZkhsXDF2NL7BZU1VdBXCfG9vjtWOmz\nkqbq74SULi6fffYZHj9+jDVr1sDd3R18Pr9NHywUCjF8+HCFNisrKxgaGkIoFDZbXB4+fIgTJ07g\n3//+d5syEEJUy8rECmFeYdh2bRvqpHUoripGZHwkVnivoJmUOxml77ncunULs2bNwowZMzBo0CBY\nW1u/9EdZIpEIJiaN14Xg8/kQiUTN9l2/fj2CgoLQu3dvpT+PENI+7LraYa77XHA5DV8vOaIcRN+I\nRr20nuVkpD0pXVxMTU014qHI//znP0hPT8f8+fPZjkIIaYKTuRNChoYw26nFqdhzaw9k8sYPYZOO\nSeni8t577+Hf//43pFLVzILK5/MhFosbtYtEoiYvudXX1yMiIgKhoaGQyWQQiUTMe1RXV7/0/Qgh\n7PCy8cI0x2nMdnJ+Ms1D1okofc/FwcEBMTExCAwMxNSpU2FpaQkut3Ft8vf3V+r97OzsIBQKFdry\n8vJQXV0NOzu7l/aprq5Gfn4+Nm7ciI0bNyq8tnTpUvTq1QsXLlxQ8ogIIeo21m4symvKmalhrmRc\ngamBKd50eJPlZETdlC4uYWFhzD9v2LDhpftwOBw8ePBAqffz8/PDvn37IBaLmRFjZ86cgYGBATw9\nPV/ax8jICAcPHlRoKyoqwrJly7Bs2bJGAwQIIex7Z9A7KK8tR3x2PADg9KPTEOgLMLL3SJaTEXVS\nurj875d6W02fPh2HDh1CWFgYQkNDkZWVhaioKISEhCgMTw4ICICHhwc2bNgAHR0deHl5KbxPdnY2\ngIYzKxcXF5VmJIS0HYfDwQcuH6CitgL3C+8DAA7fPQyBgQDOFs4spyPqonRxaepsorUEAgEOHDiA\ndevWYd68eeDz+QgODlY4QwIAqVT60pmYCSHaQ4erg7nuc/HNtW+QUZYBuVyO3Td3Y9mIZbDr+vLL\n4ES7tXhusYqKCiQnJ6OkpATe3t7MNPsymeyl92A0Cc0tRgi7RLUibL66GUVVRQCALnpdEO4TTk/x\nazi1zy22c+dOjBw5ErNnz0Z4eDhSUxtmQi0tLcWwYcNw+PDhlqcmhHQafH0+Fg9fDGO9hkvflXWV\niIyPhKi2+WfbiPZRurgcOnQIO3bswOTJk7Fjxw6F4YRdu3bF2LFj8ccff6glJCGk4zDvYo4wrzDo\n8fQAAEVVRYhKiEKtpJblZESVlC4uhw8fxsSJE7F27Vq4u7s3en3QoEFIT09XaThCSMfUx7QPQt1C\nmXWhMsoysPvmbnrIsgNRurjk5OQ0Gqn1ImNj4yZnSiaEkP/lbOGMfw75J7OdUpBCD1l2IEoXl27d\nuqGgoKDJ1x88eABLS0uVhCKEdA5+vf0wof8EZvtKxhX8kUaX1zsCpYvL2LFjceTIEWYFyhclJCTg\nxIkTGD9+vErDEUI6vrcHvA0vm/9eFfnt4W/MA5dEeyn9nMuiRYuQkJCASZMmwcPDAxwOB/v378eu\nXbuQmJgIBwcHzJs3T51ZCSEd0POHLMtqyvCo6BEA4MfkH2FqYEpLJWsxpc9cBAIBfvnlF8ycORO5\nubnQ19fH9evXUVJSgo8++ghHjhxBly5d1JmVENJB6XB1MM99HqxMrAAAUpkUuxJ3Ia8ij+VkpLVa\n/BBlU6RSKerq6mBoaKiKt1MLeoiSEM1WUl2CTVc3obymYXCQmZEZVvmuAl+/bYsTkrZR+0OUzdm9\nezeGDRumqrcjhHRC3Qy7IcwzDPo6+gCA4qpi7EzYiTppHcvJSEtp9nwthJBOx1Zgizluc5hnYJ6W\nPcW+W/voGRgtQ8WFEKJxnMydMN1pOrN9O/82Ttw/wWIi0lJUXAghGum1Pq9hrN1YZvtP4Z+4+PQi\ne4FIi1BxIYRorKmDp8LV0pXZPppyFCkFKSwmIspq9jmXhw8fKv1GRUVFbQ5DCCEv4nA4+ND1Q3xd\n/TWelj1l1oFZ6bMSNnwa8anJmi0ukydPZm6qvYpcLld6X0IIUZYeTw8LPBdg45WNKKkuQa2kFlEJ\nUVjtuxoCAwHb8UgTmi0uGzdubK8chBDSJL4+H2FeYdh8dTNqJDUorS7Fzhs7scJ7BTN1P9EszRaX\nwMDA9spBCCHNsjKxwhy3OYhKiIJMLkNGWQZ+SPoBc93m0lUTDUQ39AkhWsPR3FFhiHJSXhJOPTzF\nYiLSFCouhBCtMqrPKPjb+TPb59LOIS4rjsVE5GWouBBCtM7UwVMxxGIIs/3TnZ/wuPgxi4nI/6Li\nQgjROlwOF7OHzWaGI0tlUnyX+B0KKpte0JC0LyouhBCtZKBjgPke85kZkyvrKhGVEIWq+iqWkxGA\nigshRIuZGZnhI4+PoMNtGPj6TPwMe27uoUkuNQAVF0KIVrPraoeQoSHM9v3C+/jl3i/sBSIAqLgQ\nQjoAD2sPvOnwJrP9d/rfuPT0EouJCBUXQkiH8KbDm3CzcmO2j6YcxcMi5edHJKpFxYUQ0iFwOByE\nDA1Bb9PeAACZXIbvE7+nEWQsYbW4pKWlITg4GC4uLvD19cX27dshlUqb7XPnzh2sXr0aAQEBcHFx\nwfjx4xEVFYXa2tp2Sk0I0VR6PD3M95gPUwNTAEBVfRWNIGMJa8WlvLwcISEh4HA4iI6OxoIFC7B/\n/35ERkY22+/s2bPIzMxEaGgodu/ejaCgIOzfvx8rVqxop+SEEE1mamCKjzw+gi5PF0DDCLK9t/bS\nCLJ21uzElep09OhR1NbWIioqCsbGxvDx8YFYLEZUVBRCQ0NhbGz80n6hoaHo1q0bs+3l5QV9fX18\n9tlnyMnJgbW1dXsdAiFEQ/Ux7YOQoSHYc3MPAOBewT38ev9XvOv4LsvJOg/WzlwuX74MX19fhSIy\nceJE1NTUICEhocl+LxaW5wYNGgQAKCiga6uEkAbuVu6Y6DCR2Y4RxiA2M5bFRJ0La8VFKBTCzs5O\noc3KygqGhoYQCoUteq/bt2+Dy+WiV69eqoxICNFybzm8pbBM8uG7h/Gk5AmLiToP1oqLSCSCiYlJ\no3Y+nw+RSKT0+xQWFmLXrl14++23YWZmpsqIhBAtx+FwMHPoTIU5yHYl7kJJdQnLyTo+rR6KXFdX\nhyVLlsDIyAirV69mOw4hRAPp6+hjvsd8mOg3/DFbUVuB6BvRqJXQCFN1Yq248Pl8iMXiRu0ikQh8\nPv+V/eVyOcLDw5GWlobdu3dDIKC1tAkhL2dmZIa5bnPB4/IAAFnlWfgx+UfI5XKWk3VcrBUXOzu7\nRvdW8vLyUF1d3ehezMt89dVXiImJwc6dO2Fvb6+umISQDqK/WX/8w+kfzPbN3Js4m3aWxUQdG2vF\nxc/PD1evXlU4ezlz5gwMDAzg6enZbN/vv/8ehw8fxpYtW+Du7q7uqISQDmJk75F4rc9rzPbvD39H\ncn4ye4E6MNaKy/Tp06Gnp4ewsDDExcXh2LFjiIqKQkhIiMLw5ICAAKxZs4bZPn36NL755htMnjwZ\nFhYWuH37NvNTUkI36QghzXvX8V04mDkw2/uS9iG3IpfFRB0Ta8VFIBDgwIEDkEqlmDdvHnbs2IHg\n4GAsWrRIYT+pVAqZ7L9P1sbGNoxTP3nyJN577z2Fn4sXL7bnIRBCtBCPy8Nc97kwM2oYXVorqUX0\njWhU1lWynKxj4cg70R2t7Oxs+Pv7IyYmBjY2NmzHIYSwKFuUjc1XN6NOWgcAGNxjMMK8wsDlaPUg\nWrVozXcn/RYJIZ2SDd8GM11nMtv3C+/j1INTLCbqWKi4EEI6rWGWwxSmiDn/5Dzis+NZTNRxUHEh\nhHRqbzm8BZeeLsz2oTuHkFGWwWKijoGKCyGkU+NwOPjQ9UNYmlgCAOql9diVuAsVtRUsJ9NuVFwI\nIZ2egY4BPnL/CIa6hgCA0upSfH/ze0hlzS9eSJpGxYUQQgBYGFtg9rDZ4HA4AIDU4lQcv3+c5VTa\ni4oLIYT8f07mTnh7wNvM9t/pfyMuK47FRNqLigshhLzg9X6vY5jlMGb78J3DeFr2lL1AWoqKCyGE\nvIDD4SBkaAisTKwAABKZBLtu7IKoVvl1pggVF0IIaURfRx8feXwEI10jAEBZTRl239xNN/hbgIoL\nIYS8hHkX80Y3+H+9/yvLqbQHFRdCCGmCo7mjwg3+v9L/wvXs6ywm0h5UXAghpBmv93sdrpauzPZP\nd35CZnkmi4m0AxUXQghpxvMb/C8+wf9d4ncQ1zVepp38FxUXQgh5hedP8BvoGAAAiquKsffWXsjk\nslf07LyouBBCiBIsjC0wa9gsZvtB4QP89vA3FhNpNiouhBCiJGcLZ7zp8CazfS7tHG7l3WIxkeai\n4kIIIS3wpsObcDJ3YrYP3D6AvIo8FhNpJiouhBDSAhwOB7OGzUJ3o+4AgFpJLXYl7kKNpIblZJqF\nigshhLSQka4RPvL4CLo8XQDAM/EzHLh9AHK5nOVkmoOKCyGEtIIN3wYfuHzAbCflJeHck3MsJtIs\nVFwIIaSVPK094W/nz2z/9vA3PCh8wGIizUHFhRBC2mDKoCnob9YfACCXy7Hn1h6UVJewnIp9VFwI\nIaQNeFwe5rjNgcBAAACorKvEd4nfoV5az3IydlFxIYSQNuLr8zHHbQ64nIav1IyyDBy7d4zlVOyi\n4kIIISrQr1s/THOcxmxfybiC2MxYFhOxi4oLIYSoyOg+o+Fh7cFsH0k5gqzyLBYTsYeKCyGEqAiH\nw8EM5xnMEsnPZ1Cuqq9iOVn7o+JCCCEqpK+jj3nu85gZlIuqirDv1r5O94Alq8UlLS0NwcHBcHFx\nga+vL7Zv3w6p9NVrVFdUVGD16tXw8PCAm5sbli9fjtLS0nZITAghr2ZhbIGQoSHMdkpBCv6T+h/2\nArGAteJSXl6OkJAQcDgcREdHY8GCBdi/fz8iIyNf2XfJkiWIj4/H+vXrsWnTJqSkpGDBggXtkJoQ\nQpTjaumKcfbjmO3Tj04jKS+JxUTtS4etDz569Chqa2sRFRUFY2Nj+Pj4QCwWIyoqCqGhoTA2Nn5p\nv6SkJFy9ehU//fQTPDwabpxZWFhg2rRpiIuLg7e3d3seBiGENClwUCAyyjPwqOgRAOCHpB+w0mgl\nbAW2LCdTP9bOXC5fvgxfX1+FIjJx4kTU1NQgISGh2X7du3dnCgsAODs7w8bGBpcvX1ZrZkIIaQku\nh4s5bnOYGZTrpHWISohCeU05y8nUj7UzF6FQiOHDhyu0WVlZwdDQEEKhEGPGjGmyn52dXaN2e3t7\nCIVCtWQlhJDWMtYzxkLPhdgcuxnV9dUoqynD5xc/Z274axIjXSNMGjAJQ3sObfN7sVZcRCIRTExM\nGrXz+XyIRKJW9cvOzlZpRkIIUQVLE0vMcZuDHfE7IJPLUF1fjer6arZjNVJaXYrfH/6ukuJCQ5EJ\nIaQdDO4xGEHOQcwUMZqIy+EqPATaFqydufD5fIjF4kbtIpEIfD6/2X4lJY1nHH1VP0IIYZtvL1+4\nW7lr7EOV+jx9dNHropL3Yq242NnZNbpHkpeXh+rq6pfeU3mx382bNxu1C4VCjB07VuU5CSFElQx0\nDDTyfouqsVZc/Pz8sG/fPojFYmbE2JkzZ2BgYABPT89m+0VHRyMxMRHu7u4AgLt37yIrKwt+fn7N\nfubzBzTz8/NVdBSEENLxPf/OVOYh9+c4cpbmJCgvL8fEiRPRv39/hIaGIisrC5s2bcIHH3yApUuX\nMvsFBATAw8MDGzZsYNpmzZqFp0+fIjw8HFwuF1u2bIGZmRl+/vnnZj8zMTERQUFBajsmQgjpyA4f\nPsz8Uf8qrBUXoGH6l3Xr1uH27dvg8/mYOnUqwsLCwOPxmH3GjBkDT09PbNq0iWkTiUTYuHEjLly4\nAJlMhtGjR+Nf//oXunXr1uzn1dTUICUlBT169FD4DEIIIU2TSqUoLCyEk5MTDAyUu6THanEhhBDS\nMWnumDhCCCFai4oLIYQQlaPiQgghROWouBBCCFG5TlFcOvuiZK05/jt37mD16tUICAiAi4sLxo8f\nj6ioKNTW1rZTatVp7b//52QyGd555x0MGDAAf//9txqTqk9bfgfnz5/HlClT4OzsDC8vL8yaNQtV\nVZr5hHlTWnv8d+/exYcffghPT094enoiJCQEycnJ7ZBYtTIyMvDZZ5/hrbfewqBBgzBjxgyl+rXl\nO5C1hyjby/NFyfr164fo6GhkZmZi8+bNkMlkCs/TvMySJUuQnp6O9evXg8vlYuvWrViwYMErn6fR\nJK09/rNnzyIzMxOhoaHo3bs3Hj16hO3bt+PRo0fYsWNHOx5B27Tl3/9zx48fx7Nnz9ScVH3a8js4\nfvw41q1bh9mzZ2PlypUQiUS4fv16i4oz21p7/Hl5eZg5cyYGDx6MiIgIAMC+ffswc+ZMnD59GtbW\n1u11CG2WmpqKS5cuwcXFBRKJROl+bfoOlHdw3333ndzd3V1eUVHBtO3evVvu7Oys0Pa/bt26JXdw\ncJAnJCQwbcnJyXIHBwd5bGysWjOrUmuPv7i4uFHb0aNH5Q4ODvLs7Gy1ZFWH1h7/c2VlZXIvLy/5\nL7/8IndwcJD/9ddf6oyrFm35b2Do0KHyY8eOtUdMtWnt8f/888/ygQMHykUiEdNWVlYmHzhwoPzw\n4cNqzaxqUqmU+eewsDD5+++//8o+bf0O7PCXxTr7omStPf6XPZA6aNAgAEBBQYHqg6pJa4//ue3b\nt2PYsGEYMWKEOmOqVWt/B2fPngUATJ48We0Z1am1xy+RSMDj8WBoaMi0GRkZgcfjQa5ljwdyuS3/\nqm/rd2CHLy4vW1zsxUXJWtIP0L5FyVp7/C9z+/ZtcLlc9OrVS5UR1aotx//w4UOcOHEC4eHh6oyo\ndq39Hdy5cwd9+/bFr7/+Cj8/Pzg6OmLatGm4deuWuiOrVGuPf9y4cTA0NMSmTZtQXFyM4uJibNy4\nEQKBABMmTFB3bNa19TuwwxcXdSxK1lw/TaOq4ygsLMSuXbvw9ttvw8zMTJUR1aotx79+/XoEBQWh\nd+/e6orXLlr7OygqKkJ6ejp27dqFFStWYNeuXTA0NMTs2bNRVFSkzsgq1drjt7CwwMGDB3H+/Hl4\ne3vD29sb58+fx759+1451VRH0Nbvjg5fXEjb1dXVYcmSJTAyMsLq1avZjtMu/vOf/yA9PR3z589n\nOwpr5HI5qqqq8NVXX2HSpEnMjOQ8Hg8//fQT2/HUrqCgAIsXL4ajoyP27NmDPXv2wMnJCXPmzEFu\nbi7b8TRehy8ubVmUrKKiosX9NE1rj/85uVyO8PBwpKWlYffu3RAIBOqIqTatOf76+npEREQgNDQU\nMpkMIpGIeY/q6uqXvp8ma8v/AxwOB15eXkybsbExHB0d8eTJE7VkVYfWHv++ffsgkUgQGRkJPz8/\n+Pn5ITIyEjweDz/88IM6I2uEtn4Hdvji0pZFydLT0xu1N3UdUlO19vif++qrrxATE4OdO3fC3t5e\nXTHVpjXHX11djfz8fGzcuBEeHh7w8PDA22+/DQBYunQpAgMD1Z5blVr734C9vT3kcnmjm9dyuRwc\nDkctWdWhtccvFArRr18/6OrqMm16enro168fMjMz1ZZXU7T1O7DDFxc/Pz9cvXpV4S8XZRclKyws\nRGJiItOm7KJkmqS1xw8A33//PQ4fPowtW7YovYaDpmnN8RsZGeHgwYMKP9988w0AYNmyZdi6dWu7\nZFeV1v438NprrwEA4uPjmbaKigrcu3c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