Answer:
Since RANDY operates randomly, any file within the specified index range will have the recurrence relation as follows:
T(n) = T(n-i) + O(1)
Here, the probability is 1/n, where i can vary between 1 and n. The variable n in T(n) denotes the size of the index range, which will subsequently reduce to (n-i) in the following iteration.
Given that i is probabilistically distributed from 1 to n, the average case time complexity can then be expressed as:
T(n) = 
Next, solving T(n) = T(n/2) + O(1)
yields T(n) = O(log n).
Thus, the complexity of this algorithm is O(log n).
It should be noted that this represents the average time complexity due to the algorithm's randomized nature. In the worst-case scenario, the index range may only decrease by 1, resulting in a time complexity of O(n) since the worst-case scenario would be T(n) = T(n-1) + O(1).
Response:
Refer to the explanation
Details:
class Taxicab():
def __init__(self, x, y):
self.x_coordinate = x
self.y_coordinate = y
self.odometer = 0
def get_x_coord(self):
return self.x_coordinate
def get_y_coord(self):
return self.y_coordinate
def get_odometer(self):
return self.odometer
def move_x(self, distance):
self.x_coordinate += distance
# increase the odometer with the absolute distance
self.odometer += abs(distance)
def move_y(self, distance):
self.y_coordinate += distance
# increase odometer with the absolute distance
self.odometer += abs(distance)
cab = Taxicab(5,-8)
cab.move_x(3)
cab.move_y(-4)
cab.move_x(-1)
print(cab.odometer) # will output 8 3+4+1 = 8
Answer:
Below is the Python code with suitable comments.
Explanation:
#Input file name acquisition
filename=input('Enter the input file name: ')
#Opening the input file
inputFile = open(filename,"r+")
#Dictionary definition.
list={}
#Read and split file content using a loop
for word in inputFile.read().split():
#Check if the word exists in the file.
if word not in list:
list[word] = 1
#Increment count by 1
else:
list[word] += 1
#Closing the file.
inputFile.close();
#Output a blank line
print();
#Sorting words according to their ASCII values.
for i in sorted(list):
#Display unique words along with their
#frequencies in alphabetical order.
print("{0} {1} ".format(i, list[i]));
Answer:
def mph_and_minutes_to_miles(hours_traveled, miles_traveled):
hours_traveled = minutes_traveled / 60
miles_traveled = hours_traveled * miles_per_hour
print('Miles: %f' % miles_traveled)
Explanation:
This function, written in Python, specifies two input parameters (hours_traveled, miles_traveled)
When executed, the main function prompts the user for necessary data, calls this method, and passes the inputs as arguments. Refer to the complete code and output that follows.
