Validate Stack Sequences

Given two integer arrays pushed and popped each with distinct values, return true if this could have been the result of a sequence of push and pop operations on an initially empty stack, or false otherwise.

Example 1:

Input: pushed = [1,2,3,4,5], popped = [4,5,3,2,1]
Output: true
Explanation: We might do the following sequence:
push(1), push(2), push(3), push(4),
pop() -> 4,
push(5),
pop() -> 5, pop() -> 3, pop() -> 2, pop() -> 1

Example 2:

Input: pushed = [1,2,3,4,5], popped = [4,3,5,1,2]
Output: false
Explanation: 1 cannot be popped before 2.

Constraints:

• 1 <= pushed.length <= 1000
• 0 <= pushed[i] <= 1000
• All the elements of pushed are unique.
• popped.length == pushed.length
• popped is a permutation of pushed.

SOLUTION:

class Solution:
    def validateStackSequences(self, pushed: List[int], popped: List[int]) -> bool:
        n = len(popped)
        i = 0
        j = 0
        stack = []
        while j < n:
            while len(stack) == 0 or stack[-1] != popped[j]:
                if i >= n:
                    return False
                stack.append(pushed[i])
                i += 1
            stack.pop()
            j += 1
        return True