class Calc0016
  def initialize(args)
    args = args.map { |l| l.chomp.split(/\s+/) }
    @x, @n = args.shift.map(&:to_i)
    @as = args.shift.map(&:to_i)
    @m = 1_000_003
    build_pow_table
  end

  def run
    r = 1
    bs = @as.sort.reverse
    bs.each_cons(2).map { |a1, a2| a1 - a2 }.each do |s|
      r = r * pow(s) % @m + 1
    end
    r = r * pow(bs.last) % @m
    r
  end

  def pow(k)
    r = 1
    k.to_s(2).split(//).reverse.each_with_index do |b, i|
      r = (r * @pow_table[i]) % @m if b == '1'
    end
    r
  end

  def build_pow_table
    prev = @x
    @pow_table = [@x]
    (1..100_000_000.bit_length).each do |i|
      prev = (prev * prev) % @m
      @pow_table << prev
    end
  end
end

puts Calc0016.new(STDIN.readlines).run if __FILE__ == $0