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Function that finds the equilibrium index of an array
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# === Program v1 [time complexity: O(n^2)] | |
class Main | |
def equilibrium_index(arr) | |
result = [] | |
arr.each_with_index do |el, i| | |
j = 0 | |
sum_prefix = 0 | |
while j < i | |
sum_prefix += arr[j] | |
j += 1 | |
end | |
j = i + 1 | |
sum_suffix = 0 | |
while j < arr.length | |
sum_suffix += arr[j] | |
j += 1 | |
end | |
result.push(i) if sum_prefix == sum_suffix | |
end | |
return result | |
end | |
end | |
# === Program v2 [time complexity: O(n)] | |
class Main | |
def equilibrium_index(arr) | |
result = [] | |
sum_suffix = 0 | |
arr.each { |e| sum_suffix += e } | |
sum_prefix = 0 | |
arr.each_with_index do |el, i| | |
sum_suffix -= el | |
result.push(i) if sum_prefix == sum_suffix | |
sum_prefix += arr[i] | |
end | |
return result | |
end | |
end | |
# === Unit Tests | |
require 'minitest/autorun' | |
require 'minitest/reporters' | |
Minitest::Reporters.use! Minitest::Reporters::SpecReporter.new | |
class TestMain < Minitest::Test | |
def setup | |
@main = Main.new | |
@data = [ | |
{ arr: [-1, 3, -4, 5, 1, -6, 2, 1], idx: [1, 3, 7] } | |
] | |
end | |
def test_equilibrium_index | |
@data.each do |el| | |
assert_equal el[:idx], @main.equilibrium_index(el[:arr]) | |
end | |
end | |
end |
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