Min Stack
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.
Note
使用两个栈,一个正常使用,一个用于记录最小值 所有操作是常数时间
push:对于正常栈,直接push。对于最小栈,如果其更小,压入,否则保持原样(是否做优化)
pop:优化的话,不是更小就不压入,所以要比较一下出栈的元素是不是和最小栈栈顶大小一样,一样也要出栈
Code
public class MinStack {
private Stack<Integer> stack;
private Stack<Integer> minStack;
public MinStack() {
stack = new Stack<Integer>();
minStack = new Stack<Integer>();
}
public void push(int number) {
stack.push(number);
if (minStack.isEmpty()) {
minStack.push(number);
} else {
minStack.push(Math.min(number, minStack.peek()));
}
}
public int pop() {
minStack.pop();
return stack.pop();
}
public int min() {
return minStack.peek();
}
}
优化版 - 存差值,只用一个栈,缺点是需要数字类型转换,最大值减最小值会越界
public class MinStack {
long min;
Stack<Long> stack;
public MinStack(){
stack=new Stack<>();
}
public void push(int x) {
if (stack.isEmpty()){
stack.push(0L);
min=x;
}else{
stack.push(x-min);//Could be negative if min value needs to change
if (x<min) min=x;
}
}
public void pop() {
if (stack.isEmpty()) return;
long pop=stack.pop();
if (pop<0) min=min-pop;//If negative, increase the min value
}
public int top() {
long top=stack.peek();
if (top>0){
return (int)(top+min);
}else{
return (int)(min);
}
}
public int getMin() {
return (int)min;
}
}
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