When it comes to solving the Array Manipulation problem on Hackerrank using Python, there are several approaches you can take. In this article, we will explore three different solutions to this problem and determine which one is the most efficient.

## Solution 1: Brute Force

The first solution involves a brute force approach where we iterate through each query and update the array accordingly. Here’s the code:

```
def arrayManipulation(n, queries):
arr = [0] * n
for query in queries:
a, b, k = query
for i in range(a-1, b):
arr[i] += k
return max(arr)
```

This solution has a time complexity of O(n*m), where n is the length of the array and m is the number of queries. While it works for smaller inputs, it may not be efficient enough for larger inputs.

## Solution 2: Prefix Sum

The second solution involves using a prefix sum array to optimize the calculations. Here’s the code:

```
def arrayManipulation(n, queries):
arr = [0] * (n+1)
for query in queries:
a, b, k = query
arr[a-1] += k
arr[b] -= k
max_val = 0
prefix_sum = 0
for i in range(n+1):
prefix_sum += arr[i]
max_val = max(max_val, prefix_sum)
return max_val
```

This solution has a time complexity of O(n+m), which is more efficient than the brute force approach. It utilizes the prefix sum technique to calculate the maximum value in the array.

## Solution 3: Cumulative Sum

The third solution involves using a cumulative sum array to optimize the calculations. Here’s the code:

```
def arrayManipulation(n, queries):
arr = [0] * (n+1)
for query in queries:
a, b, k = query
arr[a-1] += k
if b < n:
arr[b] -= k
max_val = 0
cumulative_sum = 0
for i in range(n+1):
cumulative_sum += arr[i]
max_val = max(max_val, cumulative_sum)
return max_val
```

This solution also has a time complexity of O(n+m) and utilizes the cumulative sum technique to calculate the maximum value in the array. It is similar to the previous solution but handles the case where b is less than n.

After analyzing the three solutions, it is clear that Solution 3, which uses the cumulative sum technique, is the most efficient. It has the same time complexity as Solution 2 but handles an additional edge case. Therefore, Solution 3 is the recommended approach for solving the Array Manipulation problem on Hackerrank using Python.

## 9 Responses

Solution 3: Cumulative Sum seems like the way to go! Its like building a delicious sandwich, layer by layer. Yum! 🥪

Solution 4: Magical Unicorn 🦄 – Lets mix it up with some enchanting code spells! #ArrayManipulationHackerrank

Solution 2 seems cool, but Solution 3 sounds like an overkill. What do you guys think? #ArrayManipulation

Solution 2: Prefix Sum sounds like a delicious breakfast option. Just kidding, Im lost already!

Solution 2: Prefix Sum seems like a sneaky way to optimize. Im all for shortcuts!

I cant believe Solution 4: Magic Unicorn wasnt mentioned! Its clearly the best one! 🦄

Solution 3 might be more concise, but Solution 1 has its charm with its brute force approach! #ArrayManipulationHackerrank

Solution 2: Prefix Sum seems like a fancy way to complicate a simple problem. #TeamBruteForce

Solution 1 and Solution 2 sound cool, but Solution 3 feels unnecessary. Just saying! 🤷♂️