local mod = 1000000007
local mfl = math.floor

local function bmul(x, y)
  local x0, y0 = x % 31623, y % 31623
  local x1, y1 = mfl(x / 31623), mfl(y / 31623)
  return (x1 * y1 * 14122 + (x1 * y0 + x0 * y1) * 31623 + x0 * y0) % mod
end

local function badd(x, y)
  return (x + y) % mod
end
local function bsub(x, y)
  return x < y and x - y + mod or x - y
end

local function modpow(src, pow)
  local res = 1
  while (0 < pow) do
    if (pow % 2 == 1) then
      res = bmul(res, src)
      pow = pow - 1
    end
    src = bmul(src, src)
    pow = mfl(pow / 2)
  end
  return res
end

local function modinv(src)
  return modpow(src, mod - 2)
end
local n = io.read("*n")
local invval = {}
for i = 1, n + 1 do
  invval[i] = modinv(i)
end
local facttop = {n - 1}
for i = 2, n - 1 do
  facttop[i] = bmul(facttop[i - 1], n - i)
end
local invfact = {1}
for i = 2, n + 1 do
  invfact[i] = bmul(invfact[i - 1], invval[i])
end

local function getComb(k)
  if 0 < k then return bmul(facttop[k], invfact[k])
  else return 1
  end
end

local a = {}
for i = 1, n + 1 do a[i] = io.read("*n") end
local t = {}
local midcnt = 0
for i = 1, n + 1 do
  if t[a[i]] then
    midcnt = i - t[a[i]] - 1
    break
  else
    t[a[i]] = i
  end
end

local midfacttop = {}
if 1 <= n - 1 - midcnt then
  midfacttop = {n - 1 - midcnt}
  for i = 2, n - 1 - midcnt do
    midfacttop[i] = bmul(midfacttop[i - 1], n - midcnt - i)
  end
end

local function getComb2(k)
  if 0 < k then return bmul(midfacttop[k], invfact[k])
  else return 1 end
end

if n == 1 then
  print("1\n1")
else
  for i = 1, n + 1 do
    local ret = 0
    -- case 0
    if i < n then
      ret = badd(ret, getComb(i))
    end
    -- case 1
    if i <= n then
      local all = getComb(i - 1)
      local without_mid = 0
      if i <= n - midcnt then
        without_mid = getComb2(i - 1)
      end
      local with_mid = bsub(all, without_mid)
      ret = badd(ret, without_mid)
      ret = badd(ret, (with_mid * 2) % mod)
    end
    -- case 2
    if 1 < i then
      ret = badd(ret, getComb(i - 2))
    end
    print(ret)
  end
end
