Easy
You are given a 0-indexed array of positive integers nums
.
A subarray of nums
is called incremovable if nums
becomes strictly increasing on removing the subarray. For example, the subarray [3, 4]
is an incremovable subarray of [5, 3, 4, 6, 7]
because removing this subarray changes the array [5, 3, 4, 6, 7]
to [5, 6, 7]
which is strictly increasing.
Return the total number of incremovable subarrays of nums
.
Note that an empty array is considered strictly increasing.
A subarray is a contiguous non-empty sequence of elements within an array.
Example 1:
Input: nums = [1,2,3,4]
Output: 10
Explanation: The 10 incremovable subarrays are: [1], [2], [3], [4], [1,2], [2,3], [3,4], [1,2,3], [2,3,4], and [1,2,3,4], because on removing any one of these subarrays nums becomes strictly increasing. Note that you cannot select an empty subarray.
Example 2:
Input: nums = [6,5,7,8]
Output: 7
Explanation: The 7 incremovable subarrays are: [5], [6], [5,7], [6,5], [5,7,8], [6,5,7] and [6,5,7,8]. It can be shown that there are only 7 incremovable subarrays in nums.
Example 3:
Input: nums = [8,7,6,6]
Output: 3
Explanation: The 3 incremovable subarrays are: [8,7,6], [7,6,6], and [8,7,6,6]. Note that [8,7] is not an incremovable subarray because after removing [8,7] nums becomes [6,6], which is sorted in ascending order but not strictly increasing.
Constraints:
1 <= nums.length <= 50
1 <= nums[i] <= 50
public class Solution {
public int incremovableSubarrayCount(int[] nums) {
int n = nums.length;
int res = 0;
int left = Integer.MIN_VALUE;
for (int i = 0; i < n; i++) {
int right = Integer.MAX_VALUE;
for (int j = n - 1; i <= j; j--) {
res++;
if (left >= nums[j] || nums[j] >= right) {
break;
}
right = nums[j];
}
if (left >= nums[i]) {
break;
}
left = nums[i];
}
return res;
}
}