Code Explanation:
1. def outer(x): — Outer Function
def outer(x):
- Defines a function named outer().
- It accepts one parameter, x.
- When we call outer(2), the variable x starts with the value 2.
- The variable x belongs to the local scope of outer().
2. def inner(y): — Nested Function
def inner(y):
- Defines a function named inner() inside outer().
- This is called a nested function.
- It accepts one parameter, y.
- The inner function can access variables from its enclosing function.
3. nonlocal x — Modify the Enclosing Variable
nonlocal x
- The nonlocal keyword refers to the variable x from the enclosing function.
- It allows inner() to modify the existing x instead of creating a new local variable.
- The value of x will persist between calls to inner().
4. x += y — Update the Value
x += y
- Adds y to the current value of x.
- Updates the enclosing variable x.
For the first call:
f(3)
Calculation:
x = 2 + 3
x = 5
For the second call:
f(4)
Calculation:
x = 5 + 4
x = 9
5. return lambda z: x * z — Return a Lambda Function
return lambda z: x * z
- lambda creates an anonymous function.
- It accepts one parameter, z.
- It returns the product of x and z.
- The returned lambda remembers the enclosing variable x. This behavior is related to a closure.
After the first call, a stores a lambda function. After the second call, b stores another lambda function. Both reference the same enclosing variable x.
6. return inner — Return the Inner Function
return inner
- Returns the function inner itself, rather than calling it.
- This allows us to store that function in another variable.
- The enclosing scope remains available even after outer() has finished executing.
7. f = outer(2) — Create the Function
f = outer(2)
- Calls outer() with x = 2.
- The function returns inner.
- The variable f now refers to the inner function.
8. a = f(3) — First Function Call
a = f(3)
- Calls inner(y) with y = 3.
- Updates x from 2 to 5.
- Returns a lambda function, which is stored in a.
At this point, a refers to a lambda that uses the shared variable x.
9. b = f(4) — Second Function Call
b = f(4)
- Calls inner(y) with y = 4.
- The current value of x is 5.
- Updates x to 9.
- Returns another lambda function, which is stored in b.
Important: Both a and b refer to lambdas that access the same variable x. Its current value is now 9.
10. print(a(2), b(2)) — Final Output
print(a(2), b(2))
- a(2) calculates 9 * 2 = 18.
- b(2) also calculates 9 * 2 = 18.
- Both lambdas use the latest value of the shared variable x.
Output:
18 18


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