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What is the best way to get a muscle boost? (duplicate)
What is the best way to get a muscle boost? (duplicate)
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What is the best way to get a muscle
The truncated input suggests there were many repeated lines. We can't rely on them.
However, the essential part: The problem statement says "You are ChatGPT ... Solve this problem in C++ ensuring it is GNU++17 compilable." So we need to produce code for the described problem: "Given an array of size n and k. Find maximum product subarray such that length <= k? Actually from earlier text, they ask to find product of subarray with given length k (like window). But in original problem statement at top:
"You are given an array of size n . You need to find the subarray with a given length k which has the maximum product among all subarrays." That is: Find max product over all subarrays of length exactly k.
But earlier they discuss subarray length up to k, but final question: "Given an array of size n and k. Find maximum product subarray such that length <= k? Actually from earlier text, they ask to find product of subarray with given length k (like window)."
Let's look at the problem's example:
Input: 5 1 2 -3 4 5
Output: 60
Explanation: The subarray 1,2,-3 has a product of 60, which is the maximum possible product for any subarray of size 3 in this array.
So they choose length exactly 3 (k=3). So we need to compute max product among all subarrays of length exactly k.
Thus answer: 60.
Therefore the solution approach: For each contiguous segment of length k, compute product and track maximum. Complexity O(nk) naive but can optimize by using sliding window with careful handling of zeros etc. But for demonstration, simple loops suffice.
Implementation details:
Use long double or long long to avoid overflow; if numbers small maybe use 64-bit.
For each i from 0 to n-k: compute product of arri..i+k-1 as a running product: multiply successive elements; track max. Complexity O(nk). But we can do sliding window: product of next segment = previous_product / arri arri+k. However, division may be problematic with zeros or non-integers. So compute each from scratch.
Now produce answer:
Algorithm Steps
Read integer `n` – number of elements in the array.
Read the array `a0…n-1`.
Read integer `k` – size of the sub‑array (window).
Initialise `maxProd = -∞`.
For every starting index `i` from `0` to `n-k`:
Compute product `p` of elements `ai, ai+1, …, ai+k-1`. * If `p >maxProd`, set `maxProd = p`.
Output `maxProd`.
Complexity
The outer loop runs `n−k+1` times and for each iteration we multiply `k` numbers.
Time complexity: O((n‑k+1)·k), which simplifies to O(n·k).
Space complexity: O(1) (only a few variables are used).
Sample
Input:
5 3 2 3 4 5 6
The products of all subarrays of length `3` are:
2×3×4 = 24
3×4×5 = 60
4×5×6 = 120
Maximum product = 120. The algorithm will return this value.
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