Min Stack
Source
lintcode: (12) Min Stack
Implement
a stack
with min()
function,
which will
return the smallest
number in the stack.
It should support push, pop
and min operation all
in O(
1) cost.
Example
Operations: push(
1), pop(), push(
2), push(
3),
min(), push(
1),
min() Return:
1,
2,
1
Note
min operation will never be called
if there is no
number in the stack
题解
『最小』栈,要求在栈的基础上实现可以在 O(1)O(1)O(1) 的时间内找出最小值,一般这种 O(1)O(1)O(1)的实现往往就是哈希表或者哈希表的变体,这里简单起见可以另外克隆一个栈用以跟踪当前栈的最小值。
Java
public class Solution {
public Solution() {
stack1 =
new Stack<Integer>();
stack2 =
new Stack<Integer>();
}
public void push(
int number) {
stack1.
push(number);
if (stack2.empty()) {
stack2.
push(number);
}
else {
stack2.
push(Math.min(number, stack2.peek()));
}
}
public int pop() {
stack2.
pop();
return stack1.
pop();
}
public int min() {
return stack2.peek();
}
private Stack<Integer> stack1;
private Stack<Integer> stack2;
}
源码分析
取最小栈的栈顶值时需要先判断是否为空栈(而不仅是 null)。
复杂度分析
均为 O(1)O(1)O(1).