The Altitude Challenge: Reach the Peak!
IntuitionThe problem at hand is about determining the largest altitude reached after a series of altitude gains and losses, given as a list of integers where ea
# Intuition

The problem at hand is about determining the largest altitude reached after a series of altitude gains and losses, given as a list of integers where each element represents the change in altitude at each step.

To solve this problem, we need to track the cumulative altitude after each step and identify the highest altitude reached during the entire process.

# Approach

We can approach this problem by iterating through the given list of altitude gains and maintaining a running sum of the altitude as we process each change. Here's how we can approach the problem:

Initialize the initial altitude: We start at an altitude of 0, and we will track the highest altitude reached using a variable.

Iterate through the gains: For each element in the list, we adjust the current altitude and check if it exceeds the highest altitude recorded so far.

Track the maximum altitude: After each update to the current altitude, we keep track of the maximum altitude reached so far.

Return the result: After iterating through all the altitude gains, the result will be the maximum altitude reached.

# Complexity
- Time complexity:

O(n) where n is the length of the gain list. We are iterating through the list once, performing constant time operations for each step.


- Space complexity:

O(n), since we are only maintaining a few variables to track the current altitude and the maximum altitude.

# Code
```python3 []
class Solution:
    def largestAltitude(self, gain: List[int]) -> int:
        res = [0]
        for i in gain:
            val = res[-1]+i
            res.append(val)
        return max(res)

        
```
['Python3']