-- set machine level to whatever in program input
local names = {"Normal", "Bronze", "Silver", "Gold", "Sapphire", "Emerald", "Ruby", "Amethyst", "Diamond", "Opal", "Crystal", "Topaz", "Painite", "Azure", "Quartz", "Ammolite", "Flourite", "Citrine", "Tourmaline", "Bismuth", "Obsidian", "Chromite"}
    
function round100(n)
    return math.floor(n*100)/100
end
function round3(n)
    return math.floor(n/3)*3
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 getChance(increment, amount)
 local chanceTable = {}
 for i = 1, amount do
    chanceTable[i] = increment^(i-1)
 end
 return chanceTable
end

function getRNG(maxAmount, num, luck)
  return maxAmount/(maxAmount/(num/luck))
end
local luck = 1
local num = io.read()
for i = 1, (num-1) do
  luck = luck + math.sqrt(luck)
end
local boost = 1
luck = luck * boost
for i, v in pairs(names) do
  local chances = getChance(10, #names)
  local chance = chances[i]
  local rng = getRNG(chances[#chances], chance, luck)
  print(v.." RNG: 1/"..shorten(round100(rng)).." Chance: 1/"..shorten(chance))
end