The school cafeteria offers circular and square sandwiches at lunch break, referred to by numbers 0 and 1 respectively. All students stand in a queue. Each student either prefers square or circular sandwiches.The number of sandwiches in the cafeteria is equal to the number of students. The sandwiches are placed in a stack. At each step:If the student at the front of the queue prefers the sandwich on the top of the stack, they will take it and leave the queue.Otherwise, they will leave it and go to the queue's end.This continues until none of the queue students want to take the top sandwich and are thus unable to eat.You are given two integer arrays students and sandwiches where sandwiches[i] is the type of the ith sandwich in the stack (i = 0 is the top of the stack) and students[j] is the preference of the jth student in the initial queue (j = 0 is the front of the queue). Return the number of students that are unable to eat.
Question
The school cafeteria offers circular and square sandwiches at lunch break, referred to by numbers 0 and 1 respectively. All students stand in a queue. Each student either prefers square or circular sandwiches.The number of sandwiches in the cafeteria is equal to the number of students. The sandwiches are placed in a stack. At each step:If the student at the front of the queue prefers the sandwich on the top of the stack, they will take it and leave the queue.Otherwise, they will leave it and go to the queue's end.This continues until none of the queue students want to take the top sandwich and are thus unable to eat.You are given two integer arrays students and sandwiches where sandwiches[i] is the type of the ith sandwich in the stack (i = 0 is the top of the stack) and students[j] is the preference of the jth student in the initial queue (j = 0 is the front of the queue). Return the number of students that are unable to eat.
Solution
To solve this problem, you can use a queue data structure. Here are the steps:
-
Convert the students and sandwiches lists into queues. In Python, you can use the
collections.dequefunction for this. -
While there are still students in the queue, check if the student at the front of the queue prefers the sandwich at the top of the stack.
-
If the student prefers the sandwich, remove the student and the sandwich from their respective queues.
-
If the student does not prefer the sandwich, move the student to the end of the queue.
-
If you go through the entire queue without finding a student who prefers the top sandwich, break the loop. This means that none of the remaining students can eat.
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Finally, return the number of students left in the queue. This is the number of students who are unable to eat.
Here is a Python code snippet that implements these steps:
from collections import deque
def countStudents(students, sandwiches):
students = deque(students)
sandwiches = deque(sandwiches)
while students:
for _ in range(len(students)):
if students[0] == sandwiches[0]:
students.popleft()
sandwiches.popleft()
break
else:
students.rotate(-1)
else:
break
return len(students)
This function takes in two lists of integers, students and sandwiches, and returns the number of students who are unable to eat.
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