local rarities = {"Basic", "Common", "Uncommon", "Rare", "Epic", "Legendary", "Mythical", "Divine", "Super", "Mega", "Ultra", "Omega", "Extreme", "Ultimate", "Insane", "Hyper", "Godly", "Unique", "Exotic", "Supreme", "Celestial", "Eternal", "Cosmic", "Heavenly", "Stellar", "Infinity", "Dimensional", "Reality"}
local signs = {"-", "", "+", "++"}

function inttoRarity(n)
  if n > #rarities * #signs then return rarities[#rarities].."+"..((n-(#rarities*#signs))+2) end
  local num = (math.ceil(n/4))
  local signNum = (n % 4)
  if signNum == 0 then
    signNum = 4
  end
  return rarities[num]..signs[signNum]
end

function round3(n)
    return math.floor(n/3)*3
end

function round100(n)
    return math.floor(n*100)/100
end

function getRarityChance(n)
  if n < 65 then
    return 10^((n-1)/8)
  else
    return (2^(n-65))*100000000
  end
end

local signs = {
    "K",
    "M",
    "B",
    "T",
    "Qd",
    "Qn",
    "Sx",
    "Sp",
    "Oc",
    "No",
    "De",
    "UDe",
}
function shorten(n)
  if n >= 1000 then
     local num = round100(n/10^round100(round3(math.floor(math.log10(n)))))
     
     local sign = signs[round3(math.floor(math.log10(n)))/3]
     return num..sign
  else
    return n
  end
end

function getRNG(num, luck)
  return num/luck
end

local luck = 1
local num = io.read()
for i = 1, (num-1) do
  luck = luck + (math.sqrt(luck)/1.75)
end
local boost = 1
luck = luck * boost

for i = 1, ((#rarities*#signs)+1) do
  local chance = round100(getRarityChance(i))
  local rng = round100(getRNG(chance, luck))
  print(inttoRarity(i).." Chance: 1/"..shorten(chance).." RNG: 1/"..shorten(rng))
end