import strutils, sequtils, math

const
  M = 10 ^ 6 + 3
let
  xN, a = stdin.readLine.split.map parseInt
  (x, N) = (xN[0], xN[1])
var
  ttl = newSeq[int](N)

for i, ai in a:
  var j = 0
  while x ^ j < int.high div x:
    j += 1
  let j0 = j - 1

  var y = 1
  for j in 0 ..< (ai div j0):
    y *= ((x ^ j0) mod M) mod M
  y *= x ^ (ai mod j0)
  y = y mod M

  ttl[i] = y

echo ttl.sum mod M