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# Task 2: Peak Point
# Submitted by: Mohammad Sajid Anwar
# You are given an array of altitude gain.
# Write a script to find the peak point gained.
# 
# Example 1
# Input: @gain = (-5, 1, 5, -9, 2)
# Output: 1
# 
# start: 0
# 1st change:  0 + (-5) = -5
# 2nd change: -5 + 1    = -4
# 3rd change: -4 + 5    = 1
# 4th change:  1 + (-9) = -8
# 5th change: -8 + 2    = -6
# 
# max(0, -5, -4, 1, -8, -6) = 1
# 
# Example 2
# Input: @gain = (10, 10, 10, -25)
# Output: 30
# 
# start: 0
# 1st change:  0 + 10    = 10
# 2nd change: 10 + 10    = 20
# 3rd change: 20 + 10    = 30
# 4th change: 30 + (-25) = 5
# 
# max(0, 10, 20, 30, 5) = 30
# 
# Example 3
# Input: @gain = (3, -4, 2, 5, -6, 1)
# Output: 6
# 
# start: 0
# 1st change:  0 + 3    = 3
# 2nd change:  3 + (-4) = -1
# 3rd change: -1 + 2    = 1
# 4th change:  1 + 5    = 6
# 5th change:  6 + (-6) = 0
# 6th change:  0 + 1    = 1
# 
# max(0, 3, -1, 1, 6, 0, 1) = 6
# 
# Example 4
# Input: @gain = (-1, -2, -3, -4)
# Output: 0
# 
# start: 0
# 1st change:  0 + (-1) = -1
# 2nd change: -1 + (-2) = -3
# 3rd change: -3 + (-3) = -6
# 4th change: -6 + (-4) = -10
# 
# max(0, -1, -3, -6, -10) = 0
# 
# Example 5
# Input: @gain = (-10, 15, 5)
# Output: 10
# 
# start: 0
# 1st change:   0 + (-10) = -10
# 2nd change: -10 + 15    = 5
# 3rd change:   5 + 5     = 10
# 
# max(0, -10, 5, 10) = 10

defmodule Peak do

  def get_gains([head | tail], acc) do
    [acc | get_gains(tail, head + acc) ]
  end

  def get_gains([], acc) do
    [acc]
  end

  def get_peak(gains) do
    Enum.max( get_gains(gains, 0) )
  end

  def out(gains) do
    IO.write( "(" <> Enum.join(gains, ",") <> ") -> ")
    IO.puts( get_peak(gains) )
  end

end

gains = [-5, 1, 5, -9, 2]
Peak.out(gains)

gains = [10, 10, 10, -25]
Peak.out(gains)

gains = [3, -4, 2, 5, -6, 1]
Peak.out(gains)

gains = [-1, -2, -3, -4]
Peak.out(gains)

gains = [-10, 15, 5]
Peak.out(gains)