Repeat-2
14. sor: | 14. sor: | ||
increasing(1, 2, 1, 2, 4) -> True | increasing(1, 2, 1, 2, 4) -> True | ||
increasing(1, 2, 1, 2, 1) -> False | increasing(1, 2, 1, 2, 1) -> False | ||
+ | |||
+ | ==Problem 3():== | ||
+ | Write a Vector class. It's parameter should be an arbitrary n dimensional vector. (A list of n real numbers.) | ||
+ | |||
+ | a) Write the __init__ and __str__ methods!(0.5 point) | ||
+ | |||
+ | b) Write the __mul__ method which calculates the dot product of two vectors. (1.5 points) | ||
+ | |||
+ | c) Write the norm method which calculates the length of the vector. (1 points) | ||
+ | |||
+ | d) Write a test method which returns True if the angle between the vector and the x-axis is between 0 and 45 degrees. | ||
+ | It might be useful to use the norm method and to import the math package.(2 points) | ||
+ | |||
+ | Example: | ||
+ | v1 = Vector([1, 2, 3]) | ||
+ | v2 = Vector([1, 0, 1]) | ||
+ | print(v1) -> [1, 2, 3] | ||
+ | print(v1*v2) -> 4 | ||
+ | print(v2.norm()) -> 1.41 | ||
+ | print(v1.test()) -> False |
A lap 2021. április 30., 08:05-kori változata
Problem 1 (2.5 point):
Write a search() function, which first parameter is an x and after that it can have arbitrary many named parameters. (search(x, **kwargs)) The function should return True, if there exist a key in kwargs, for which the corresponding value is x. Otherwise it should return False.
Examples:
search(2, a=1, b=3) -> False search(2, a=1, b=3, c=2) -> True
Problem 2 (3.5 point):
Write a variadic increasing() function, which inputs are arbitrary many positive natural numbers, and it returns True if the sequence of the numbers contains an increasing subsequence of length 3.
Examples:
increasing(1, 2, 1, 2, 4) -> True increasing(1, 2, 1, 2, 1) -> False
Problem 3():
Write a Vector class. It's parameter should be an arbitrary n dimensional vector. (A list of n real numbers.)
a) Write the __init__ and __str__ methods!(0.5 point)
b) Write the __mul__ method which calculates the dot product of two vectors. (1.5 points)
c) Write the norm method which calculates the length of the vector. (1 points)
d) Write a test method which returns True if the angle between the vector and the x-axis is between 0 and 45 degrees. It might be useful to use the norm method and to import the math package.(2 points)
Example:
v1 = Vector([1, 2, 3]) v2 = Vector([1, 0, 1]) print(v1) -> [1, 2, 3] print(v1*v2) -> 4 print(v2.norm()) -> 1.41 print(v1.test()) -> False