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Description

Today, the bookstore owner has a store open for customers.length minutes.  Every minute, some number of customers (customers[i]) enter the store, and all those customers leave after the end of that minute.

On some minutes, the bookstore owner is grumpy.  If the bookstore owner is grumpy on the i-th minute, grumpy[i] = 1, otherwise grumpy[i] = 0.  When the bookstore owner is grumpy, the customers of that minute are not satisfied, otherwise they are satisfied.

The bookstore owner knows a secret technique to keep themselves not grumpy for X minutes straight, but can only use it once.

Return the maximum number of customers that can be satisfied throughout the day.

 

Example 1:

Input: customers = [1,0,1,2,1,1,7,5], grumpy = [0,1,0,1,0,1,0,1], X = 3

Output: 16

Explanation: The bookstore owner keeps themselves not grumpy for the last 3 minutes. 

The maximum number of customers that can be satisfied = 1 + 1 + 1 + 1 + 7 + 5 = 16.

 

Note:

  • 1 <= X <= customers.length == grumpy.length <= 20000
  • 0 <= customers[i] <= 1000
  • 0 <= grumpy[i] <= 1

Solutions

Python3

class Solution:
    def maxSatisfied(self, customers: List[int], grumpy: List[int], X: int) -> int:
        s = t = 0
        win, n = 0, len(customers)
        for i in range(n):
            if grumpy[i] == 0:
                s += customers[i]
            else:
                win += customers[i]
            if i >= X and grumpy[i - X] == 1:
                win -= customers[i - X]
            t = max(t, win)
        return s + t

Java

class Solution {
    public int maxSatisfied(int[] customers, int[] grumpy, int X) {
        int s = 0, t = 0;
        for (int i = 0, win = 0, n = customers.length; i < n; ++i) {
            if (grumpy[i] == 0) {
                s += customers[i];
            } else {
                win += customers[i];
            }
            if (i >= X && grumpy[i - X] == 1) {
                win -= customers[i - X];
            }
            t = Math.max(t, win);
        }
        return s + t;
    }
}

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