Class Solution
Medium
You are given a 0-indexed integer array nums
having length n
, and an integer k
.
You can perform the following increment operation any number of times ( including zero ):
- Choose an index
i
in the range[0, n - 1]
, and increasenums[i]
by1
.
An array is considered beautiful if, for any subarray with a size of 3
or more , its maximum element is greater than or equal to k
.
Return an integer denoting the minimum number of increment operations needed to make nums
beautiful.
A subarray is a contiguous non-empty sequence of elements within an array.
Example 1:
Input: nums = [2,3,0,0,2], k = 4
Output: 3
Explanation: We can perform the following increment operations to make nums beautiful:
Choose index i = 1 and increase nums[1] by 1 -> [2,4,0,0,2].
Choose index i = 4 and increase nums[4] by 1 -> [2,4,0,0,3].
Choose index i = 4 and increase nums[4] by 1 -> [2,4,0,0,4].
The subarrays with a size of 3 or more are: [2,4,0], [4,0,0], [0,0,4], [2,4,0,0], [4,0,0,4], [2,4,0,0,4].
In all the subarrays, the maximum element is equal to k = 4, so nums is now beautiful.
It can be shown that nums cannot be made beautiful with fewer than 3 increment operations.
Hence, the answer is 3.
Example 2:
Input: nums = [0,1,3,3], k = 5
Output: 2
Explanation: We can perform the following increment operations to make nums beautiful:
Choose index i = 2 and increase nums[2] by 1 -> [0,1,4,3].
Choose index i = 2 and increase nums[2] by 1 -> [0,1,5,3].
The subarrays with a size of 3 or more are: [0,1,5], [1,5,3], [0,1,5,3].
In all the subarrays, the maximum element is equal to k = 5, so nums is now beautiful.
It can be shown that nums cannot be made beautiful with fewer than 2 increment operations.
Hence, the answer is 2.
Example 3:
Input: nums = [1,1,2], k = 1
Output: 0
Explanation: The only subarray with a size of 3 or more in this example is [1,1,2]. The maximum element, 2, is already greater than k = 1, so we don’t need any increment operation. Hence, the answer is 0.
Constraints:
3 <= n == nums.length <= 105
0 <= nums[i] <= 109
0 <= k <= 109
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Constructor Summary
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Method Summary
Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
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Constructor Details
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Solution
public Solution()
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Method Details
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minIncrementOperations
public long minIncrementOperations(int[] nums, int k)
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