Program to find the highest altitude of a point in Python

Suppose there is a biker who is going on a road trip. There are n different points in his road trip at different altitudes. The biker starts his trip from point 0 with altitude 0. If we have a sequence called gain with n elements, gain[i] is the net gain in altitude between points i and i + 1 for all (0 <= i < n). We have to find the highest altitude of a point.

So, if the input is like gain = [-4,2,6,1,-6], then the output will be 5, because the altitudes are [0,-4,-2,4,5,-1], so the maximum is 5.

To solve this, we will follow these steps −

• maximum := 0

• run_alt := 0

• for each delta in gain, do

  • run_alt := run_alt + delta

  • maximum := max of maximum and run_alt

• return maximum

Example (Python)

Let us see the following implementation to get better understanding −

 Live Demo

def solve(gain):
   maximum = 0
   run_alt = 0

   for delta in gain:
      run_alt += delta
      maximum = max(maximum, run_alt)

   return maximum

gain = [-4,2,6,1,-6]
print(solve(gain))

Input

[-4,2,6,1,-6]

Output

5

Arnab Chakraborty

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Updated on: 18-May-2021

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