title: Minimum Increment K Operations Make Elements Equal
signature: function minimum_increment_k_operations_make_elements_equal(arr, n, k)
test_code: 
  
  -- SOLUTION CODE
  -- ============================================
  PLACEHOLDER_CODE_BODY
  
  -- TESTING CODE 
  -- ============================================
  function isCorrect(actual, expected)
      if type(expected) ~= type(actual) then
          return false
      end
      
      if type(expected) == 'table' then
          for k,v_expected in pairs(expected) do
              
              if actual[k] == nil then
                  return false
              end
              local v_actual = actual[k]
              if not isCorrect(v_actual, v_expected) then
                  return false
              end
              actual[k]=nil
          end
      
          if next(actual) then 
              return false
          end
          return true
      else
          return actual == expected
      end
  end
  
  function validateSolution(actual, expected)
      return isCorrect(actual,expected)
  end
  
  function driver(arr, n, k, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(arr, n, k) 
      end)
      if status then
          if validateSolution(exec_result,expected) then
              return "PASSED"
          end
          return "FAILED"
      else
          return string.format("ERROR=%s",string.gsub(error_msg,".*:[%d]+: ",""))
      end
  end
      
  function main()
      result = driver({4, 7, 19, 16}, 4, 3, 10)
      print(string.format("TEST-0...%s",result))
  
      result = driver({4, 4, 4, 4, 4}, 5, 3, 0)
      print(string.format("TEST-1...%s",result))
  
      result = driver({0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, 39, 1, 24)
      print(string.format("TEST-2...%s",result))
  
      result = driver({85, 36, 52, 8, 52, 15, 16}, 5, 6, -1)
      print(string.format("TEST-3...%s",result))
  
      result = driver({-10, -5, -5, -20, 10, 30}, 6, 5, 36)
      print(string.format("TEST-4...%s",result))
  
      result = driver({0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0}, 10, 15, -1)
      print(string.format("TEST-5...%s",result))
  
      result = driver({1, 5, 5, 9, 11, 12, 12, 13, 13, 14, 16, 18, 26, 26, 28, 28, 30, 31, 32, 37, 37, 38, 40, 43, 44, 45, 47, 47, 55, 58, 60, 62, 63, 64, 69, 78, 83, 84, 92, 96, 96, 99}, 26, 33, -1)
      print(string.format("TEST-6...%s",result))
  
      result = driver({76, -78, 92, -98, 16, 44, 86, 96, -8, 2, -96, 74, -28, 12, 54, -40, -64, -12, 4, 48, 68, -82, 8, 0, -4, 88, 48, -54, 90, 62, -84, 76, -48, 62, -80, -94, 38, -4, 36}, 34, 3, -1)
      print(string.format("TEST-7...%s",result))
  
      result = driver({0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, 39, 10, -1)
      print(string.format("TEST-8...%s",result))
  
      result = driver({62, 99, 29, 23, 55, 30, 79, 63, 1, 88, 59, 8, 11, 80, 23, 51, 97, 32, 80, 48, 84, 36, 73, 59, 1, 34, 92, 10}, 18, 1, 892)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
source_py: def minimum_increment_k_operations_make_elements_equal(arr, n, k):
      max1 = max(arr)
      res = 0
      for i in range(0, n):
          if (((max1 - arr[i]) % k) != 0):
              return (- 1)
          else:
              res += ((max1 - arr[i]) / k)
      return int(res)
source_cpp: int minimum_increment_k_operations_make_elements_equal(vector<int> arr, int n, int k) {
    int max = * max_element(arr.begin(), arr.end());
    int res = 0;
    for ( int i = 0;
    i < n;
    i ++ ) {
      if ( ( max - arr [ i ] ) % k != 0 ) return - 1;
      else res += ( max - arr [ i ] ) / k;
    }
    return res;
  }