Consolidated Questions from the Uploaded Images
Question 2: Stable Sub-segments
In an organization, there are n servers, each with a capacity of capacity[i]. A contiguous subsegment [l, r] of servers is said to be stable if:
- The first and last server's capacities are equal to the sum of the capacities of all interior servers:
capacity[l] = capacity[r] = sum[l+1, r-1].
Task:
Find the number of stable subsegments of length 3 or more.
Example:
For n = 5 and capacity = [9, 3, 3, 3, 9]:
| Segment | First & Last Capacity | Interior Capacity Sum | Balanced |
|---|---|---|---|
| [9, 3, 3] | 9 | 6 | No |
| [3, 3, 3] | 3 | 3 | Yes |
| [3, 3, 9] | 3 | 3 | No |
| [9, 3, 3, 3] | 9 | 6 | No |
| [3, 3, 3, 9] | 3 | 9 | No |
| [9, 3, 3, 3, 9] | 9 | 9 | Yes |
- Stable subsegments are
[3, 3, 3]and[9, 3, 3, 3, 9].
Output:2
Constraints:
- The number of servers,
n, is between 1 and 300,000. - Each server's capacity,
capacity[i], is between 1 and 1,000,000,000.
Input Format for Custom Testing:
- First line: An integer
n(number of servers). - Second line: A list of
nintegers representing the arraycapacity.
Output Format:
- An integer representing the number of stable subsegments.
Question 3: Bitwise-OR Goodness
A coding competition organized to hire software developers includes an interesting problem on Bitwise-OR.
The goodness of a sequence is defined as the bitwise-OR of its elements. Given an array arr of length n, find all possible distinct values of goodness that can be obtained by choosing any strictly increasing subsequence of the array. The result must be sorted in non-decreasing order.
Example:
Input: n = 4, arr = [4, 2, 4, 1]
Strictly increasing subsequences and their goodness values:
- Empty subsequence: Goodness = 0
[1]: Goodness = 1[2]: Goodness = 2[4]: Goodness = 4[2, 4]: Goodness = 6
Output: [0, 1, 2, 4, 6]
Function Description:
Complete the function getDistinctGoodnessValues in the editor below.
Parameters:
int arr[n]: An array of integers.
Returns:
int[]: A list of all possible distinct goodness values.
Constraints:
- The length of the array,
n, is between 1 and 10,000. - Each element in the array,
arr[i], is between 1 and 1,023.
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