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Find Good Days to Rob the Bank

You and a gang of thieves are planning on robbing a bank.

You and a gang of thieves are planning on robbing a bank. You are given a 0-indexed integer array security, where security[i] is the number of guards on duty on the ith day. The days are numbered starting from 0. You are also given an integer time.

The ith day is a good day to rob the bank if:

More formally, this means day i is a good day to rob the bank if and only if security[i - time] >= security[i - time + 1] >= ... >= security[i] <= ... <= security[i + time - 1] <= security[i + time].

Return a list of all days (0-indexed) that are good days to rob the bank. The order that the days are returned in does not matter.

Find Good Days to Rob the Bank diagram

Example 1

Input: security = [5,3,3,3,5,6,2], time = 2

Output: [2,3]

Explanation: On day 2, we have security[0] >= security[1] >= security[2] <= security[3] <= security[4]. On day 3, we have security[1] >= security[2] >= security[3] <= security[4] <= security[5]. No other days satisfy this condition, so days 2 and 3 are the only good days to rob the bank.

Example 2

Input: security = [1,1,1,1,1], time = 0

Output: [0,1,2,3,4]

Explanation: Since time equals 0, every day is a good day to rob the bank, so return every day.

Example 3

Input: security = [1,2,3,4,5,6], time = 2

Output: []

Explanation: No day has 2 days before it that have a non-increasing number of guards. Thus, no day is a good day to rob the bank, so return an empty list.

Constraints

  • 1 <= security.length <= 10^5
  • 0 <= security[i], time <= 10^5

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