PU Min Stack

Jan 01, 1970

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

  • push(x) -- Push element x onto stack.
  • pop() -- Removes the element on top of the stack.
  • top() -- Get the top element.
  • getMin() -- Retrieve the minimum element in the stack.

Example:

MinStack minStack = new MinStack();
minStack.push(-2);
minStack.push(0);
minStack.push(-3);
minStack.getMin();   --> Returns -3.
minStack.pop();
minStack.top();      --> Returns 0.
minStack.getMin();   --> Returns -2.

Python Solution:

class MinStack(object):

    def __init__(self):
        """
        initialize your data structure here.
        """
        self.stack = []
        self.min = 0


    def push(self, x):
        """
        :type x: int
        :rtype: void
        """
        if not self.stack:
            self.stack.append(0)
            self.min = x
        else:
            self.stack.append(x - self.min)
            if x < self.min: self.min = x


    def pop(self):
        """
        :rtype: void
        """
        if not self.stack: return
        pp = self.stack.pop()
        if pp < 0:
            self.min -= pp


    def top(self):
        """
        :rtype: int
        """
        if self.stack[-1] < 0:
            return self.min
        return self.min + self.stack[-1]


    def getMin(self):
        """
        :rtype: int
        """
        return self.min


# Your MinStack object will be instantiated and called as such:
# obj = MinStack()
# obj.push(x)
# obj.pop()
# param_3 = obj.top()
# param_4 = obj.getMin()

Summary:

  • beautiful.
  • There is another solution, even more beautiful. Try to figure it out.

LeetCode: 155. Min Stack