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155. Min Stack

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Senior Software Engineer | Backend, Cloud, Data, Machine Learning

Design a stack that supports push, pop, top, and retrieving the minimum element in constant time.

Implement the MinStack class:

  • MinStack() initializes the stack object.

  • void push(int val) pushes the element val onto the stack.

  • void pop() removes the element on the top of the stack.

  • int top() gets the top element of the stack.

  • int getMin() retrieves the minimum element in the stack.

You must implement a solution with O(1) time complexity for each function.

Example 1:

Input
["MinStack","push","push","push","getMin","pop","top","getMin"]
[[],[-2],[0],[-3],[],[],[],[]]

Output
[null,null,null,null,-3,null,0,-2]

Explanation
MinStack minStack = new MinStack();
minStack.push(-2);
minStack.push(0);
minStack.push(-3);
minStack.getMin(); // return -3
minStack.pop();
minStack.top();    // return 0
minStack.getMin(); // return -2

Constraints:

  • -2<sup>31</sup> <= val <= 2<sup>31</sup> - 1

  • Methods pop, top and getMin operations will always be called on non-empty stacks.

  • At most 3 * 10<sup>4</sup> calls will be made to push, pop, top, and getMin.

Solution:

class MinStack:
    def __init__(self):
        self.stack = []
        self.minStack = []

    def push(self, val: int) -> None:
        self.stack.append(val)
        val = min(val, self.minStack[-1] if self.minStack else val)
        self.minStack.append(val)

    def pop(self) -> None:
        self.stack.pop()
        self.minStack.pop()

    def top(self) -> int:
        return self.stack[-1]

    def getMin(self) -> int:
        return self.minStack[-1]

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