1950. Maximum of Minimum Values in All Subarrays
https://leetcode.com/problems/maximum-of-minimum-values-in-all-subarrays
Description
You are given an integer array nums
of size n
. You are asked to solve n
queries for each integer i
in the range 0 <= i < n
.
To solve the ith
query:
Find the minimum value in each possible subarray of size
i + 1
of the arraynums
.Find the maximum of those minimum values. This maximum is the answer to the query.
Return a 0-indexed integer array ans
of size n
such that ans[i]
is the answer to the ith
query.
A subarray is a contiguous sequence of elements in an array.
Example 1:
**Input:** nums = [0,1,2,4]
**Output:** [4,2,1,0]
**Explanation:**
i=0:
- The subarrays of size 1 are [0], [1], [2], [4]. The minimum values are 0, 1, 2, 4.
- The maximum of the minimum values is 4.
i=1:
- The subarrays of size 2 are [0,1], [1,2], [2,4]. The minimum values are 0, 1, 2.
- The maximum of the minimum values is 2.
i=2:
- The subarrays of size 3 are [0,1,2], [1,2,4]. The minimum values are 0, 1.
- The maximum of the minimum values is 1.
i=3:
- There is one subarray of size 4, which is [0,1,2,4]. The minimum value is 0.
- There is only one value, so the maximum is 0.
Example 2:
**Input:** nums = [10,20,50,10]
**Output:** [50,20,10,10]
**Explanation:**
i=0:
- The subarrays of size 1 are [10], [20], [50], [10]. The minimum values are 10, 20, 50, 10.
- The maximum of the minimum values is 50.
i=1:
- The subarrays of size 2 are [10,20], [20,50], [50,10]. The minimum values are 10, 20, 10.
- The maximum of the minimum values is 20.
i=2:
- The subarrays of size 3 are [10,20,50], [20,50,10]. The minimum values are 10, 10.
- The maximum of the minimum values is 10.
i=3:
- There is one subarray of size 4, which is [10,20,50,10]. The minimum value is 10.
- There is only one value, so the maximum is 10.
Constraints:
n == nums.length
1 <= n <= 105
0 <= nums[i] <= 109
ac
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