Min Stack [LeetCode 155]
1- 问题描述
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
2- 思路分析
使用两个栈,一个栈保存原始数据(stack),另一个栈保持每个元素对应的最小元素(minStack)。如stack中从栈底到栈顶为[3, 1, 5, 7, 0],那么minStack中从栈底到栈顶为[3, 1, 1, 1, 0]。可参考[LeetCode] Min Stack in Python
3- Python实现
1 # -*- coding: utf-8 -*- 2 # Min Stack 3 4 class MinStack: 5 def __init__(self): 6 self.stack = [] 7 self.min = [] # 保存最小值 8 9 # @param x, an integer 10 # @return an integer 11 def push(self, x): # 入栈 12 self.stack.append(x) 13 if not self.min: # 如果min栈为空则直接入栈 14 self.min.append(x) 15 return x 16 if x < self.min[-1]: # 如果入栈元素x比min栈顶小,则x入栈 17 self.min.append(x) 18 else: # 如果x比min栈顶大,则重复栈顶元素 19 self.min.append(self.min[-1]) 20 return x 21 22 # @return nothing 23 def pop(self): #出栈 24 self.stack.pop() 25 self.min.pop() # min栈同步 26 27 # @return an integer 28 def top(self): #栈顶 29 return self.stack[-1] 30 31 # @return an integer 32 def getMin(self): #栈内最小值 33 return self.min[-1]