#### Priority Queue Using List

p
```"""
Pure Python implementations of a Fixed Priority Queue and an Element Priority Queue
using Python lists.
"""

class OverFlowError(Exception):
pass

class UnderFlowError(Exception):
pass

class FixedPriorityQueue:
"""
Tasks can be added to a Priority Queue at any time and in any order but when Tasks
are removed then the Task with the highest priority is removed in FIFO order.  In
code we will use three levels of priority with priority zero Tasks being the most
urgent (high priority) and priority 2 tasks being the least urgent.

Examples
>>> fpq = FixedPriorityQueue()
>>> fpq.enqueue(0, 10)
>>> fpq.enqueue(1, 70)
>>> fpq.enqueue(0, 100)
>>> fpq.enqueue(2, 1)
>>> fpq.enqueue(2, 5)
>>> fpq.enqueue(1, 7)
>>> fpq.enqueue(2, 4)
>>> fpq.enqueue(1, 64)
>>> fpq.enqueue(0, 128)
>>> print(fpq)
Priority 0: [10, 100, 128]
Priority 1: [70, 7, 64]
Priority 2: [1, 5, 4]
>>> fpq.dequeue()
10
>>> fpq.dequeue()
100
>>> fpq.dequeue()
128
>>> fpq.dequeue()
70
>>> fpq.dequeue()
7
>>> print(fpq)
Priority 0: []
Priority 1: [64]
Priority 2: [1, 5, 4]
>>> fpq.dequeue()
64
>>> fpq.dequeue()
1
>>> fpq.dequeue()
5
>>> fpq.dequeue()
4
>>> fpq.dequeue()
Traceback (most recent call last):
...
data_structures.queue.priority_queue_using_list.UnderFlowError: All queues are empty
>>> print(fpq)
Priority 0: []
Priority 1: []
Priority 2: []
"""

def __init__(self):
self.queues = [
[],
[],
[],
]

def enqueue(self, priority: int, data: int) -> None:
"""
Add an element to a queue based on its priority.
If the priority is invalid ValueError is raised.
If the queue is full an OverFlowError is raised.
"""
try:
if len(self.queues[priority]) >= 100:
raise OverflowError("Maximum queue size is 100")
self.queues[priority].append(data)
except IndexError:
raise ValueError("Valid priorities are 0, 1, and 2")

def dequeue(self) -> int:
"""
Return the highest priority element in FIFO order.
If the queue is empty then an under flow exception is raised.
"""
for queue in self.queues:
if queue:
return queue.pop(0)
raise UnderFlowError("All queues are empty")

def __str__(self) -> str:
return "\n".join(f"Priority {i}: {q}" for i, q in enumerate(self.queues))

class ElementPriorityQueue:
"""
Element Priority Queue is the same as Fixed Priority Queue except that the value of
the element itself is the priority. The rules for priorities are the same the as
Fixed Priority Queue.

>>> epq = ElementPriorityQueue()
>>> epq.enqueue(10)
>>> epq.enqueue(70)
>>> epq.enqueue(4)
>>> epq.enqueue(1)
>>> epq.enqueue(5)
>>> epq.enqueue(7)
>>> epq.enqueue(4)
>>> epq.enqueue(64)
>>> epq.enqueue(128)
>>> print(epq)
[10, 70, 4, 1, 5, 7, 4, 64, 128]
>>> epq.dequeue()
1
>>> epq.dequeue()
4
>>> epq.dequeue()
4
>>> epq.dequeue()
5
>>> epq.dequeue()
7
>>> epq.dequeue()
10
>>> print(epq)
[70, 64, 128]
>>> epq.dequeue()
64
>>> epq.dequeue()
70
>>> epq.dequeue()
128
>>> epq.dequeue()
Traceback (most recent call last):
...
data_structures.queue.priority_queue_using_list.UnderFlowError: The queue is empty
>>> print(epq)
[]
"""

def __init__(self):
self.queue = []

def enqueue(self, data: int) -> None:
"""
This function enters the element into the queue
If the queue is full an Exception is raised saying Over Flow!
"""
if len(self.queue) == 100:
raise OverFlowError("Maximum queue size is 100")
self.queue.append(data)

def dequeue(self) -> int:
"""
Return the highest priority element in FIFO order.
If the queue is empty then an under flow exception is raised.
"""
if not self.queue:
raise UnderFlowError("The queue is empty")
else:
data = min(self.queue)
self.queue.remove(data)
return data

def __str__(self) -> str:
"""
Prints all the elements within the Element Priority Queue
"""
return str(self.queue)

def fixed_priority_queue():
fpq = FixedPriorityQueue()
fpq.enqueue(0, 10)
fpq.enqueue(1, 70)
fpq.enqueue(0, 100)
fpq.enqueue(2, 1)
fpq.enqueue(2, 5)
fpq.enqueue(1, 7)
fpq.enqueue(2, 4)
fpq.enqueue(1, 64)
fpq.enqueue(0, 128)
print(fpq)
print(fpq.dequeue())
print(fpq.dequeue())
print(fpq.dequeue())
print(fpq.dequeue())
print(fpq.dequeue())
print(fpq)
print(fpq.dequeue())
print(fpq.dequeue())
print(fpq.dequeue())
print(fpq.dequeue())
print(fpq.dequeue())

def element_priority_queue():
epq = ElementPriorityQueue()
epq.enqueue(10)
epq.enqueue(70)
epq.enqueue(100)
epq.enqueue(1)
epq.enqueue(5)
epq.enqueue(7)
epq.enqueue(4)
epq.enqueue(64)
epq.enqueue(128)
print(epq)
print(epq.dequeue())
print(epq.dequeue())
print(epq.dequeue())
print(epq.dequeue())
print(epq.dequeue())
print(epq)
print(epq.dequeue())
print(epq.dequeue())
print(epq.dequeue())
print(epq.dequeue())
print(epq.dequeue())

if __name__ == "__main__":
fixed_priority_queue()
element_priority_queue()
```