Problem: There is a biker going on a road trip. The road trip consists of n + 1 points at different altitudes. The biker starts his trip on point 0 with altitude equal 0.
You are given an integer array gain of length n where gain[i] is the net gain in altitude between points i and i + 1 for all (0 <= i < n). Return the highest altitude of a point.
Example:
Input: gain = [-5,1,5,0,-7] Output: 1 Explanation: The altitudes are [0,-5,-4,1,1,-6]. The highest is 1.
Input: gain = [-4,-3,-2,-1,4,3,2] Output: 0 Explanation: The altitudes are [0,-4,-7,-9,-10,-6,-3,-1]. The highest is 0.
Approach: The approach is simple; we just keep adding every gain in current altitude and comparing it with max altitude. Assign max altitude to current altitude if max is less than current altitude.
Implementation in C#:
public int LargestAltitude(int[] gain)
{
int length = gain?.Length ?? 0;
if (length == 0)
{
return 0;
}
int maxAlt = 0, currAlt = 0;
for (int i = 0; i < length; ++i)
{
currAlt += gain[i];
maxAlt = maxAlt < currAlt ? currAlt : maxAlt;
}
return maxAlt;
}
Complexity: O(n)
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