From 0f624ae9250c527f394757635846a65844ec4883 Mon Sep 17 00:00:00 2001
From: EfimovaLA <yefimovala@mpei.ru>
Date: Thu, 4 Dec 2025 21:17:35 +0000
Subject: [PATCH] =?UTF-8?q?=D0=94=D0=BE=D0=B1=D0=B0=D0=B2=D0=BB=D0=B5?=
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MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 TEMA7/Ris1.png   | Bin 0 -> 45056 bytes
 TEMA7/report7.md | 486 +++++++++++++++++++++++++++++++++++++++++++++++
 2 files changed, 486 insertions(+)
 create mode 100644 TEMA7/Ris1.png
 create mode 100644 TEMA7/report7.md

diff --git a/TEMA7/Ris1.png b/TEMA7/Ris1.png
new file mode 100644
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diff --git a/TEMA7/report7.md b/TEMA7/report7.md
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+# Отчет по теме 7
+Ефимова Людмила, А-03-23
+
+# Создание пользовательских функций
+## 1. Настройка текущего каталога
+
+```py
+import os
+os.chdir("H:\\study\\ПОАС")
+```
+## 2. Создание пользовательской функции
+Создание функции предполагает выполнение трех операций: формирование функции, ее
+сохранение и использование. 
+
+### 2.1. Пример функции без аргументов
+
+```py
+def uspeh():
+    """Подтверждение успеха операции"""
+    print('Выполнено успешно!')    
+uspeh()
+Выполнено успешно!
+type(uspeh)
+<class 'function'>
+dir() # убедились что функция появилась в пространстве имен
+['__annotations__', '__builtins__', '__doc__', '__loader__', '__name__', '__package__', '__spec__', 'os', 'uspeh']
+help(uspeh) # инструкция выводит описание функции, указанное в тройных кавычках
+Help on function uspeh in module __main__:
+
+uspeh()
+    Подтверждение успеха операции 
+```
+### 2.2. Пример функции с аргументами
+
+```py
+def sravnenie(a,b):
+    """Сравнение a и b"""
+    if a>b:
+        print(a,' больше ',b)
+    elif a<b:
+        print(a, ' меньше ',b)
+    else:
+        print(a, ' равно ',b)
+
+n,m=16,5;sravnenie(n,m)
+16  больше  5
+
+n,m="привет","пока";sravnenie(n,m) # сравнение символьных строк
+привет  больше  пока
+```
+### 2.3. Пример функции, содержащей return.
+
+```py
+def logistfun(b,a):
+    """Вычисление логистической функции"""
+    import math
+    return a/(1+math.exp(-b))
+
+v,w=1,0.7;z=logistfun(w,v)
+z
+0.6681877721681662
+```
+### 2.4. Сложение для разных типов аргументов
+
+```py
+def slozh(a1,a2,a3,a4):
+    """ Сложение значений четырех аргументов"""
+    return a1+a2+a3+a4
+
+slozh(1,2,3,4) # Сложение чисел
+10
+
+slozh('1','2','3','4') # Сложение строк
+'1234'
+b1=[1,2];b2=[-1,-2];b3=[0,2];b4=[-1,-1]
+
+q=slozh(b1,b2,b3,b4) #Сложение списков
+q
+[1, 2, -1, -2, 0, 2, -1, -1]
+
+slozh((1, 2), (3, 4), (-1, -2), (-3,-4)) #Сложение кортежей
+(1, 2, 3, 4, -1, -2, -3, -4)
+
+slozh({1,2,3,4}, {'pym', True, 'pyrym', False}, {"l", "a", "n", 13}, {"hi", "i", "miss", "you"})  #Сложение множеств
+Traceback (most recent call last):
+  File "<pyshell#31>", line 1, in <module>
+    slozh({1,2,3,4}, {'pym', True, 'pyrym', False}, {"l", "a", "n", 13}, {"hi", "i", "miss", "you"})  #Сложение множеств
+  File "<pyshell#23>", line 3, in slozh
+    return a1+a2+a3+a4
+TypeError: unsupported operand type(s) for +: 'set' and 'set'
+dict1 = {'a': 1}; dict2 = {'b': 2}; dict3 = {'c': 3}; dict4 = {'d': 4}
+
+slozh(dict1, dict2, dict3, dict4) #Сложение словарей
+Traceback (most recent call last):
+  File "<pyshell#33>", line 1, in <module>
+    slozh(dict1, dict2, dict3, dict4) #Сложение словарей
+  File "<pyshell#23>", line 3, in slozh
+    return a1+a2+a3+a4
+TypeError: unsupported operand type(s) for +: 'dict' and 'dict'
+```
+
+### 2.5. Функция, реализующая модель "Вход х - Выход у"
+
+```py
+def inerz(x,T,ypred):
+    """ Модель устройства с памятью:
+    x - текущее значение вх.сигнала,
+    T - постоянная времени,
+    ypred - предыдущее значение выхода устройства"""
+    y=(x+T*ypred)/(T+1)
+    return y
+    
+sps=[0]+[1]*100
+spsy=[] #Заготовили список для значений выхода
+TT=20 #Постоянная времени
+yy=0 #Нулевое начальное условие
+for xx in sps:
+    yy=inerz(xx,TT,yy)
+    spsy.append(yy)
+    
+plt.xlabel("t, время")
+plt.ylabel("Выходной синал")
+plt.grid(True)
+pylab.plot(spsy, label = "Выходной сигнал", color='purple')
+pylab.show()
+```
+![График процесса](Ris1.png)
+
+## 3. Функции как объекты
+### 3.1. Получение списка атрибутов объекта-функции
+
+```py
+dir(inerz)
+['__annotations__', '__builtins__', '__call__', '__class__', '__closure__', '__code__', '__defaults__', '__delattr__', '__dict__', '__dir__', '__doc__', '__eq__', '__format__', '__ge__', '__get__', '__getattribute__', '__getstate__', '__globals__', '__gt__', '__hash__', '__init__', '__init_subclass__', '__kwdefaults__', '__le__', '__lt__', '__module__', '__name__', '__ne__', '__new__', '__qualname__', '__reduce__', '__reduce_ex__', '__repr__', '__setattr__', '__sizeof__', '__str__', '__subclasshook__', '__type_params__']
+inerz.__doc__ # пример использования атрибута функции
+'Модель устройства с памятью:\nx- текущее значение вх.сигнала,\nT -постоянная времени,\nypred - предыдущее значение выхода устройства'
+help(inerz)
+Help on function inerz in module __main__:
+
+inerz(x, T, ypred) # получаем обработанную документацию
+    Модель устройства с памятью:
+    x- текущее значение вх.сигнала,
+    T -постоянная времени,
+    ypred - предыдущее значение выхода устройства
+```
+### 3.2. Сохранение ссылки на объект-функцию в другой переменной
+```py
+fnkt=sravnenie # сохраняем ссылку на функцию sravnenie в переменной fnkt
+v=16fnkt(v,23)
+16  меньше  23
+```
+### 3.3. Альтернативное определение функции в программе
+
+```py
+if typ_fun==1:
+    def func():
+        print('Функция 1')
+else:
+    def func():
+        print('Функция 2')
+
+func()
+Функция 2 # так как значение не равно 1, то выполняется else
+```
+## 4. Аргументы функции
+### 4.1. Использование функции в качестве аргумента другой функции
+```py
+def fun_arg(fff,a,b,c):
+    """fff-имя функции, используемой
+    в качестве аргумента функции fun_arg"""
+    return a+fff(c,b)
+
+zz=fun_arg(logistfun,-3,1,0.7)
+zz
+-2.3318122278318336
+```
+
+### 4.2. Обязательные и необязательные аргументы
+
+```py
+def logistfun(a,b=1): #Аргумент b – необязательный; значение по умолчанию=1
+   """Вычисление логистической функции"""
+   import math
+   return b/(1+math.exp(-a))
+
+logistfun(0.7) #Вычисление со значением b по умолчанию
+0.6681877721681662
+logistfun(0.7,2) #Вычисление с заданным значением b1.3363755443363323
+```
+
+### 4.3. Обращение к функции с произвольным (непозиционным) расположением аргументов
+
+```py
+logistfun(b=0.5,a=0.8) # Ссылки на аргументы поменялись местами
+0.34498724056380625
+```
+### 4.4. Пример со значениями аргументов функции, содержащимися в списке или кортеже
+
+```py
+b1234=[b1,b2,b3,b4] # Список списков из п.2.4qq=slozh(*b1234) #Перед ссылкой на список или кортеж надо ставить звездочку
+b1234
+[[1, 2], [-1, -2], [0, 2], [-1, -1]]
+qq
+[1, 2, -1, -2, 0, 2, -1, -1]
+```
+
+### 4.5. Значения аргументов функции, содержащиеся в словаре
+
+```py
+dic4={"a1":1,"a2":2,"a3":3,"a4":4}
+qqq=slozh(**dic4) #Перед ссылкой на словарь надо ставить две звездочки
+```
+
+### 4.6. Смешанные ссылки
+
+```py
+e1=(-1,6);dd2={'a3':3,'a4':9}
+qqqq=slozh(*e1,**dd2)
+qqqq
+17
+```
+### 4.7. Переменное число аргументов у функции
+
+```py
+def func4(*kort7):
+    """Произвольное число аргументов в составе кортежа"""
+    smm=0
+    for elt in kort7:
+        smm+=elt
+    return smm
+func4(-1,2) #Обращение к функции с 2 аргументами
+1
+func4(-1,2,0,3,6) #Обращение к функции с 5 аргументами
+10
+```
+### 4.8. Комбинация аргументов
+
+```py
+def func4(a,b=7,*kort7): # Аргументы: a-позиционный, b- по умолчанию + кортеж
+    """Кортеж - сборка аргументов - должен быть последним!"""
+    smm=0
+    for elt in kort7:
+        smm+=elt
+    return a*smm+b
+func4(-1,2,0,3,6)
+-7
+
+def func5(a, b = 7, **slov7): # со словарем
+    """Словарь - сборка аргументов - должен быть последним!"""
+    smm = 0
+    for elt in slov7.items():
+        smm = sum (slov7.values())
+    return a * smm + b
+
+numbers = {"a1": 1, "a2": 2, "a3": 3, "a4": 4}
+func5(1,2,**numbers)
+12
+```
+### 4.9. Изменение значений объектов, используемых в качестве аргументов функции
+
+```py
+a=90 # Числовой объект – не изменяемый тип
+def func3(b):
+    b=5*b+67
+
+func3(a)
+a # значение не изменилось
+90
+```
+Пример со списком
+
+```py
+sps1=[1,2,3,4] #Список – изменяемый тип объекта
+def func2(sps):
+    sps[1]=99
+
+func2(sps1)
+print(sps1)
+[1, 99, 3, 4] # список изменился
+
+kort=(1,2,3,4) #Кортеж – неизменяемый тип объекта
+func2(kort)
+Traceback (most recent call last):
+  File "<pyshell#104>", line 1, in <module>
+    func2(kort)
+  File "<pyshell#100>", line 2, in func2
+    sps[1]=99
+TypeError: 'tuple' object does not support item assignment
+```
+## 5. Специальные типы пользовательских функций
+### 5.1. Анонимные функции(лямбда-функции)
+Функции без имени
+```py
+anfun1=lambda: 1.5+math.log10(17.23) #Анонимная функция без аргументов
+anfun1() # Обращение к объекту-функции
+2.7362852774480286
+
+anfun2=lambda a,b: a+math.log10(b) #Анонимная функция с 2 аргументами
+anfun2(17,234)
+19.369215857410143
+
+anfun3=lambda a,b=234: a+math.log10(b) #Функция с необязательным вторым аргументом
+anfun3(100)
+102.36921585741014
+```
+### 5.2. Функции-генераторы
+Это – такие функции, которые используются в итерационных процессах, позволяя на каждой
+итерации получать одно из значений.
+```py
+def func5(diap,shag):
+    """ Итератор, возвращающий значения
+    из диапазона от 1 до diap с шагом shag"""
+    for j in range(1,diap+1,shag):
+        yield j # приостанавливает выполнение и возвращает очередное значение
+        
+for mm in func5(7,3):
+    print(mm)    
+1
+4
+7
+```
+метод __next__, активирует очередную итерацию выполнения функции
+
+```py
+alp=func5(7,3)
+print(alp.__next__())
+1
+print(alp.__next__())
+4
+print(alp.__next__())
+7
+print(alp.__next__())
+Traceback (most recent call last): # Функция уже выполнила последнюю итерацию, вернулась ошибка
+  File "<pyshell#122>", line 1, in <module>
+    print(alp.__next__())
+StopIteration
+```
+## 6. Локализация объектов в функциях
+Все объекты могут быть определены глобально или локально. Глобально определены вне функций
+
+### 6.1. Примеры на локализацию объектов
+Пример 1 Одноименные локальный и глобальный объекты:
+```py
+glb=10def func7(arg):
+    loc1=15
+    glb=8
+    return loc1*arg
+
+res=func7(glb)res
+150
+glb # глобальное значение не изменилось
+10
+```
+Пример 2 Ошибка в использовании локального объекта
+
+```py
+def func8(arg):
+    loc1=15
+    print(glb)
+    glb=8
+    return loc1*arg
+
+res=func8(glb)
+Traceback (most recent call last): # ошибка происходит так как вывод функции осуществляется в 3 строке функции, а ее объявляение в 4
+  File "<pyshell#131>", line 1, in <module>
+    res=func8(glb)
+  File "<pyshell#130>", line 3, in func8
+    print(glb)
+UnboundLocalError: cannot access local variable 'glb' where it is not associated with a value
+```
+Пример 3 Переопределение локализации объекта
+```py
+glb=11
+def func7(arg):
+    loc1=15
+    global glb
+    print(glb)
+    glb=8
+    return loc1*arg
+
+res=func7(glb)
+11
+glb # значение изменится так как мы обратились к глобальной переменной внутри функции
+8
+```
+### 6.2. Выявление локализации объекта с помощью функций locals() и globals() из builtins
+
+```py
+globals().keys() #Перечень глобальных объектов
+dict_keys(['__name__', '__doc__', '__package__', '__loader__', '__spec__', '__annotations__', '__builtins__', 'os', 'uspeh', 'sravnenie', 'n', 'm', 'logistfun', 'v', 'w', 'z', 'slozh', 'b1', 'b2', 'b3', 'b4', 'q', 'dict1', 'dict2', 'dict3', 'dict4', 'inerz', 'sps', 'spsy', 'TT', 'yy', 'xx', 'fnkt', 'typ_fun', 'func', 'fun_arg', 'zz', 'b1234', 'qq', 'dic4', 'qqq', 'e1', 'dd2', 'qqqq', 'func4', 'func5', 'numbers', 'a', 'func3', 'sps1', 'func2', 'kort', 'anfun1', 'math', 'anfun2', 'anfun3', 'mm', 'alp', 'glb', 'func7', 'res', 'func8', 'b'])
+locals().keys() #Перечень локальных объектов
+dict_keys(['__name__', '__doc__', '__package__', '__loader__', '__spec__', '__annotations__', '__builtins__', 'os', 'uspeh', 'sravnenie', 'n', 'm', 'logistfun', 'v', 'w', 'z', 'slozh', 'b1', 'b2', 'b3', 'b4', 'q', 'dict1', 'dict2', 'dict3', 'dict4', 'inerz', 'sps', 'spsy', 'TT', 'yy', 'xx', 'fnkt', 'typ_fun', 'func', 'fun_arg', 'zz', 'b1234', 'qq', 'dic4', 'qqq', 'e1', 'dd2', 'qqqq', 'func4', 'func5', 'numbers', 'a', 'func3', 'sps1', 'func2', 'kort', 'anfun1', 'math', 'anfun2', 'anfun3', 'mm', 'alp', 'glb', 'func7', 'res', 'func8', 'b'])
+```
+Сейчас они не отличаются, так как эти методы возвращают объекты на уровне вызова этих функций.
+
+```py
+hh=func8(glb)
+dict_keys(['__name__', '__doc__', '__package__', '__loader__', '__spec__', '__annotations__', '__builtins__', 'os', 'uspeh', 'sravnenie', 'n', 'm', 'logistfun', 'v', 'w', 'z', 'slozh', 'b1', 'b2', 'b3', 'b4', 'q', 'dict1', 'dict2', 'dict3', 'dict4', 'inerz', 'sps', 'spsy', 'TT', 'yy', 'xx', 'fnkt', 'typ_fun', 'func', 'fun_arg', 'zz', 'b1234', 'qq', 'dic4', 'qqq', 'e1', 'dd2', 'qqqq', 'func4', 'func5', 'numbers', 'a', 'func3', 'sps1', 'func2', 'kort', 'anfun1', 'math', 'anfun2', 'anfun3', 'mm', 'alp', 'glb', 'func7', 'res', 'func8', 'b']) # глобальные переменные
+dict_keys(['arg', 'loc1', 'glb']) # локальные переменные
+'glb' in globals().keys()
+True
+```
+### 6.3. Локализация объектов при использовании вложенных функций
+
+```py
+def func9(arg2,arg3):
+    def func9_1(arg1):
+        loc1=15
+        glb1=8
+        print('glob_func9_1:',globals().keys())
+        print('locl_func9_1:',locals().keys())
+        return loc1*arg1
+    loc1=5
+    glb=func9_1(loc1)
+    print('loc_func9:',locals().keys())
+    print('glob_func9:',globals().keys())
+    return arg2+arg3*glb
+    kk=func9(10,1)
+
+glob_func9_1: dict_keys(['__name__', '__doc__', '__package__', '__loader__', '__spec__', '__annotations__', '__builtins__', 'os', 'uspeh', 'sravnenie', 'n', 'm', 'logistfun', 'v', 'w', 'z', 'slozh', 'b1', 'b2', 'b3', 'b4', 'q', 'dict1', 'dict2', 'dict3', 'dict4', 'inerz', 'sps', 'spsy', 'TT', 'yy', 'xx', 'fnkt', 'typ_fun', 'func', 'fun_arg', 'zz', 'b1234', 'qq', 'dic4', 'qqq', 'e1', 'dd2', 'qqqq', 'func4', 'func5', 'numbers', 'a', 'func3', 'sps1', 'func2', 'kort', 'anfun1', 'math', 'anfun2', 'anfun3', 'mm', 'alp', 'glb', 'func7', 'res', 'func8', 'b', 'hh', 'func9'])
+locl_func9_1: dict_keys(['arg1', 'loc1', 'glb1'])
+loc_func9: dict_keys(['arg2', 'arg3', 'func9_1', 'loc1', 'glb'])
+glob_func9: dict_keys(['__name__', '__doc__', '__package__', '__loader__', '__spec__', '__annotations__', '__builtins__', 'os', 'uspeh', 'sravnenie', 'n', 'm', 'logistfun', 'v', 'w', 'z', 'slozh', 'b1', 'b2', 'b3', 'b4', 'q', 'dict1', 'dict2', 'dict3', 'dict4', 'inerz', 'sps', 'spsy', 'TT', 'yy', 'xx', 'fnkt', 'typ_fun', 'func', 'fun_arg', 'zz', 'b1234', 'qq', 'dic4', 'qqq', 'e1', 'dd2', 'qqqq', 'func4', 'func5', 'numbers', 'a', 'func3', 'sps1', 'func2', 'kort', 'anfun1', 'math', 'anfun2', 'anfun3', 'mm', 'alp', 'glb', 'func7', 'res', 'func8', 'b', 'hh', 'func9'])
+```
+
+### 6.4. Моделирование системы
+
+```py
+znach=input('k1,T,k2,Xm,A,F,N=').split(',')
+k1,T,k2,Xm,A,F,N=1, 4, 6, 8, 0.1, 100, 77 
+k1=float(znach[0]) # распаковка каждого значения из списка в отдельную переменную
+T=float(znach[1])k2=float(znach[2])
+Xm=float(znach[3])
+A=float(znach[4])
+F=float(znach[5])
+N=int(znach[6])
+import math
+vhod=[]for i in range(N): # реализация входного сигнала
+    vhod.append(A*math.sin((2*i*math.pi)/F))
+   
+vhod
+[0.0, 0.006279051952931338, 0.012533323356430426, 0.01873813145857246, 0.02486898871648548, 0.03090169943749474, 0.03681245526846779, 0.042577929156507266, 0.04817536741017153, 0.05358267949789967, 0.058778525229247314, 0.06374239897486897, 0.06845471059286887, 0.07289686274214116, 0.07705132427757894, 0.08090169943749474, 0.08443279255020152, 0.08763066800438638, 0.09048270524660196, 0.09297764858882514, 0.09510565162951536, 0.09685831611286311, 0.09822872507286887, 0.09921147013144778, 0.09980267284282716, 0.1, 0.09980267284282716, 0.0992114701314478, 0.09822872507286888, 0.09685831611286311, 0.09510565162951537, 0.09297764858882515, 0.09048270524660196, 0.08763066800438635, 0.0844327925502015, 0.08090169943749476, 0.07705132427757894, 0.07289686274214115, 0.06845471059286888, 0.06374239897486898, 0.05877852522924733, 0.0535826794978997, 0.048175367410171525, 0.042577929156507294, 0.03681245526846782, 0.030901699437494753, 0.024868988716485525, 0.01873813145857246, 0.012533323356430454, 0.006279051952931359, 1.2246467991473533e-17, -0.006279051952931335, -0.01253332335643043, -0.018738131458572477, -0.02486898871648546, -0.03090169943749473, -0.03681245526846779, -0.04257792915650723, -0.04817536741017154, -0.053582679497899646, -0.05877852522924727, -0.06374239897486897, -0.06845471059286884, -0.07289686274214116, -0.07705132427757894, -0.08090169943749474, -0.08443279255020153, -0.08763066800438636, -0.09048270524660199, -0.09297764858882515, -0.09510565162951536, -0.09685831611286312, -0.09822872507286888, -0.09921147013144778, -0.09980267284282716, -0.1, -0.09980267284282716]
+```
+Функции реализующие компоненты системы
+
+```py
+def realdvig(xtt,kk1,TT,yti1,ytin1):
+    #Модель реального двигателя
+    yp=kk1*xtt #усилитель
+    yti1=yp+yti1 #Интегратор
+    ytin1=(yti1+TT*ytin1)/(TT+1)
+    return [yti1,ytin1]
+    
+def tahogen(xtt,kk2,yti2):
+    #Модель тахогенератора
+    yp=kk2*xtt #усилитель
+    yti2=yp+yti2 #интегратор
+    return yti2
+    
+def nechus(xtt,gran):
+    #зона нечувствит
+    if xtt<gran and xtt>(-gran):
+        ytt=0
+    elif xtt>=gran:
+        ytt=xtt-gran
+    elif xtt<=(-gran):
+        ytt=xtt+gran
+    return ytt
+```
+Соединение компонент в соответствии с заданием
+
+```py
+yi1=0;yin1=0;yi2=0
+vyhod=[]
+for xt in vhod:
+    xt1=xt-yi2 #отрицательная обратная связь
+    [yi1,yin1]=realdvig(xt1,k1,T,yi1,yin1)
+    yi2=tahogen(yin1,k2,yi2)
+    yt=nechus(yin1,Xm)
+    vyhod.append(yt)
+  
+print('y=',vyhod)
+y= [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.5141467180616637, 2.436597981398414, 0, -23.648551283064812, -14.586132260625703, 32.08584980450739, 89.54211200549014, 25.7748383079563, -159.50156906660678, -269.78397091031354, 10.068957187950126, 609.1466943956274, 710.2274755410508, -432.96310970489685, -2071.215944848495, -1597.6603885543427, 2476.1333543804712, 6477.956582202103, 2626.2544178282487, -10653.374481183546, -18710.49654358021, -114.61846653968969, 39934.80067535607, 49244.49063253727, -25137.392758059512, -136326.86476806158, -113347.77120772432, 152977.09900234317, 430425.27047852875, 200239.35715241256, -676334.6538246117, -1258436.7595393702, -94814.83077922332, 2579157.721342821, 3366440.70542351, -1395363.2125185598, -8922019.998095734, -7954112.681058888, 9354374.734397378, 28510095.7464239, 14931466.339167053, -42752396.61128703, -84417589.66346069, -11966716.801496733, 166137062.55300295, 229398711.23742872, -74491804.49954477, -582713905.5745344, -555144565.8307699, 567231399.1647252, 1884775004.5638165, 1096722694.409165, -2691873575.07944]
+```
+## 7. Закончила сеанс работы с IDLE
+