Amazon

2020-05-19

## 901. Online Stock Span

### Question:

Write a class `StockSpanner` which collects daily price quotes for some stock, and returns the span of that stock’s price for the current day.

The span of the stock’s price today is defined as the maximum number of consecutive days (starting from today and going backwards) for which the price of the stock was less than or equal to today’s price.

For example, if the price of a stock over the next 7 days were `[100, 80, 60, 70, 60, 75, 85]`, then the stock spans would be `[1, 1, 1, 2, 1, 4, 6]`.

#### Example 1:

``````Input: ["StockSpanner","next","next","next","next","next","next","next"], [[],,,,,,,]
Output: [null,1,1,1,2,1,4,6]
Explanation:
First, S = StockSpanner() is initialized.  Then:
S.next(100) is called and returns 1,
S.next(80) is called and returns 1,
S.next(60) is called and returns 1,
S.next(70) is called and returns 2,
S.next(60) is called and returns 1,
S.next(75) is called and returns 4,
S.next(85) is called and returns 6.

Note that (for example) S.next(75) returned 4, because the last 4 prices
(including today's price of 75) were less than or equal to today's price.
``````

Note:

1. Calls to `StockSpanner.next(int price)` will have `1 <= price <= 10^5`.
2. There will be at most `10000` calls to `StockSpanner.next` per test case.
3. There will be at most `150000` calls to `StockSpanner.next` across all test cases.
4. The total time limit for this problem has been reduced by 75% for C++, and 50% for all other languages.

### Solution:

Using Monotonic Stack, time complexity O(1) and space complexity: O(n).

PriceStack (Price, Result)
100{(100, 1)}
80{(100, 1), (80, 1)}
60{(100, 1), (80, 1), (60, 1)}
70{(100, 1), (80, 1), (60, 1), (70, 2)}
60{(100, 1), (80, 1), (70, 2), (60, 1)}
75{(100, 1), (80, 1), (70, 2), (60, 1), (75, 4)}
85{(100, 1), (80, 1), (75, 4), (85,6)}
``````class StockSpanner {

public StockSpanner() {
}

Stack<int[]> stack = new Stack<>();

public int next(int price) {
int res = 1;
while (!stack.isEmpty() && stack.peek() <= price)
res += stack.pop();
stack.push(new int[]{price, res});
return res;
}
}

/**
* Your StockSpanner object will be instantiated and called as such:
* StockSpanner obj = new StockSpanner();
* int param_1 = obj.next(price);
*/
``````

It can also be achieved by using Double Linked List. Compleixty varies depending on the order of the stock. Worst case: O(n) for time and O(n) for space.

``````class StockSpanner {

class ListNode {
public ListNode prev;
public ListNode next;
public int val;
public ListNode(int inputval) {
val = inputval;
}
}

ListNode curr;

public StockSpanner() {
curr = new ListNode(-1);
}

public int next(int price) {
ListNode newnode = new ListNode(price);
curr.next = newnode;
newnode.prev = curr;
curr = newnode;

ListNode temp = newnode.prev;
int counter = 1;
while (temp != null && temp.val != -1) {
if (price >= temp.val) {
counter++;
} else {
break;
}
temp = temp.prev;
}
return counter;
}
}

/**
* Your StockSpanner object will be instantiated and called as such:
* StockSpanner obj = new StockSpanner();
* int param_1 = obj.next(price);
*/
``````