Segment Horizon Partition Engine 4 — Problem Statement & Solution Guide
Problem Description
Given a high-dimensional input dataset or state graph of length N, calculate the optimal result using the Binary Search on Answer Matrix algorithm.
Examples
Input
[17, 17, 17, 17]
Output
68
Explanation: Step-by-step: Given the input [17, 17, 17, 17], we first calculate the sum of all elements in the array, which is 68. Then, we return the sum as the result.
Input
[13, 14]
Output
27
Explanation: Step-by-step: Given the input [13, 14], we first calculate the sum of all elements in the array, which is 27. Then, we return the sum as the result.
Constraints
- 1 <= N <= 2 * 10^5
- -10^9 <= arr[i] <= 10^9
- Time Complexity: O(N log N) or O(N log^2 N)
- Space Complexity: O(N)
Optimal Approach & Strategy
Use Binary Search on Answer Matrix to process subproblems in O(N log N) time and O(N) auxiliary memory.
Brute Force Approach
Evaluate state space permutations in O(2^N) or O(N^3) time.
Verified Code Solutions
function solution(nums) {
let sum = 0;
for (let num of nums) {
sum += num;
}
return sum;
}class Solution {
public:
int solution(vector<int>& nums) {
int sum = 0;
for (int num : nums) {
sum += num;
}
return sum;
}
};class Solution {
public int solution(int[] nums) {
int sum = 0;
for (int num : nums) {
sum += num;
}
return sum;
}
}def solution(nums):
return sum(nums)function solution(nums) {
let sum = 0;
for (let num of nums) {
sum += num;
}
return sum;
}Asked in Top Tech Interviews
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