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imezx/InfiniteMath
imezx-InfiniteMath-f44c4db/src/InfiniteMath/Int.luau
--!native local Int = {} Int.__index = Int export type Int = typeof(setmetatable({ sign = 0 :: number, -- -1, 0, +1 limbs = {} :: { number }, -- little-endian uint32 limbs (base 2^32) }, Int)) local function trimLimbs(limbs: { number }) while #limbs > 0 and limbs[#limbs] == 0 do table.remove(limbs) end end local function cloneArray(t: { number }): { number } local out = table.create(#t) for i = 1, #t do out[i] = t[i] end return out end local function assertEndian(endian: string) if endian ~= "le" and endian ~= "be" then error(("Invalid endian '%s'. Use 'le' or 'be'."):format(endian)) end end local function assertBytes(bytes: { number }) if type(bytes) ~= "table" then error("bytes must be an array/table of integers 0..255") end for i = 1, #bytes do local b = bytes[i] if type(b) ~= "number" or b % 1 ~= 0 or b < 0 or b > 255 then error(("bytes[%d] is not a valid byte (0..255 integer). Got: %s"):format(i, b)) end end end local function toLEBytes(endian: string, bytes: { number }): { number } if endian == "le" then return cloneArray(bytes) end local out = table.create(#bytes) for i = 1, #bytes do out[i] = bytes[#bytes - i + 1] end return out end local function fromLEBytes(endian: string, leBytes: { number }): { number } if endian == "le" then return leBytes end local out = table.create(#leBytes) for i = 1, #leBytes do out[i] = leBytes[#leBytes - i + 1] end return out end local function twosComplementToMagnitudeLE(leBytes: { number }): { number } local n = #leBytes local out = table.create(n) for i = 1, n do out[i] = 255 - leBytes[i] end -- +1 local carry = 1 for i = 1, n do local v = out[i] + carry if v >= 256 then out[i] = v - 256 carry = 1 else out[i] = v carry = 0 break end end return out end local function magnitudeToTwosComplementLE(magLE: { number }, length: number): { number } local out = table.create(length, 0) for i = 1, length do out[i] = (i <= #magLE) and magLE[i] or 0 end for i = 1, length do out[i] = 255 - out[i] end -- +1 local carry = 1 for i = 1, length do local v = out[i] + carry if v >= 256 then out[i] = v - 256 carry = 1 else out[i] = v carry = 0 break end end return out end local function limbsFromLEBytes(leBytes: { number }): { number } local limbs = {} local limbIndex = 1 local i = 1 while i <= #leBytes do local b0 = leBytes[i] or 0 local b1 = leBytes[i + 1] or 0 local b2 = leBytes[i + 2] or 0 local b3 = leBytes[i + 3] or 0 local limb = b0 + b1 * 256 + b2 * 65536 + b3 * 16777216 limbs[limbIndex] = limb limbIndex += 1 i += 4 end trimLimbs(limbs) return limbs end local function leBytesFromLimbs(limbs: { number }): { number } if #limbs == 0 then return { 0 } end local out = table.create(#limbs * 4) local k = 1 for i = 1, #limbs do local limb = limbs[i] for _ = 1, 4 do out[k] = limb % 256 limb = math.floor(limb / 256) k += 1 end end while #out > 1 and out[#out] == 0 do table.remove(out) end return out end return function(InfiniteMath): typeof(Int) function Int.is(value: any): boolean return typeof(value) == "table" and getmetatable(value) == Int end function Int.zero(): Int return setmetatable({ sign = 0, limbs = {} }, Int) end function Int.FromRawBytes(endian: string, bytes: { number }, signed: boolean?): Int assertEndian(endian) assertBytes(bytes) if #bytes == 0 then return Int.zero() end local le = toLEBytes(endian, bytes) local sign = 1 if signed then local msb = le[#le] if msb >= 128 then sign = -1 le = twosComplementToMagnitudeLE(le) end end local limbs = limbsFromLEBytes(le) if #limbs == 0 then return Int.zero() end return setmetatable({ sign = sign, limbs = limbs, }, Int) end function Int:ToRawBytes(endian: string, minBytes: number?, signed: boolean?): { number } assertEndian(endian) if minBytes ~= nil then if type(minBytes) ~= "number" or minBytes % 1 ~= 0 or minBytes < 0 then error("minBytes must be a non-negative integer") end end if signed ~= true and self.sign < 0 then error("ToRawBytes(unsigned) cannot serialize a negative Int. Pass signed=true.") end local magLE = leBytesFromLimbs(self.limbs) if signed then if self.sign >= 0 then -- ensure sign bit 0 if magLE[#magLE] >= 128 then magLE[#magLE + 1] = 0 end if minBytes ~= nil then while #magLE < minBytes do magLE[#magLE + 1] = 0 end end return fromLEBytes(endian, magLE) end local length = minBytes or #magLE if length < #magLE then error("minBytes too small to represent this value") end while #magLE < length do magLE[#magLE + 1] = 0 end local twosLE = magnitudeToTwosComplementLE(magLE, length) return fromLEBytes(endian, twosLE) end if minBytes ~= nil then if minBytes < #magLE then error("minBytes too small to represent this value") end while #magLE < minBytes do magLE[#magLE + 1] = 0 end end return fromLEBytes(endian, magLE) end function Int:IterRawBytes(endian: string, minBytes: number?, signed: boolean?) return ipairs(self:ToRawBytes(endian, minBytes, signed)) end function Int:ToNumber() if self.sign == 0 or #self.limbs == 0 then return InfiniteMath.new(0) end local n: number = #self.limbs local msw: number = self.limbs[n] if msw == 0 then return InfiniteMath.new(0) end -- log10(value) ~= ((n-1)*32 + log2(msw)) * log10(2) local LOG10_2 = math.log(2) / math.log(10) local log2 = (n - 1) * 32 + (math.log(msw) / math.log(2)) local log10 = log2 * LOG10_2 local exp10 = math.floor(log10) local frac = log10 - exp10 local mant = 10 ^ frac -- [1,10) return InfiniteMath.new({ mant * self.sign, exp10 }) end function Int:ScientificNotation(abbrev: boolean?, secondAbbrev: boolean?): string return self:ToNumber():ScientificNotation(abbrev, secondAbbrev) end function Int:__tostring() return self:ScientificNotation() end return Int end
2,047
imezx/InfiniteMath
imezx-InfiniteMath-f44c4db/src/InfiniteMath/Values/FullNames.luau
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ion','Quinvigintiducentillion','Sesvigintiducentillion','Septemvigintiducentillion','Octovigintiducentillion','Novemvigintiducentillion','Trigintaducentillion','Untrigintaducentillion','Duotrigintaducentillion','Trestrigintaducentillion','Quattuortrigintaducentillion','Quintrigintaducentillion','Sestrigintaducentillion','Septentrigintaducentillion','Octotrigintaducentillion','Noventrigintaducentillion','Quadragintaducentillion','Unquadragintaducentillion','Duoquadragintaducentillion','Tresquadragintaducentillion','Quattuorquadragintaducentillion','Quinquadragintaducentillion','Sesquadragintaducentillion','Septenquadragintaducentillion','Octoquadragintaducentillion','Novenquadragintaducentillion','Quinquagintaducentillion','Unquinquagintaducentillion','Duoquinquagintaducentillion','Tresquinquagintaducentillion','Quattuorquinquagintaducentillion','Quinquinquagintaducentillion','Sesquinquagintaducentillion','Septenquinquagintaducentillion','Octoquinquagintaducentillion','Novenquinquagintaducentillion','Sexagintaducentillion','Unsexagintaducentillion','Duosexagintaducentillion','Tresexagintaducentillion','Quattuorsexagintaducentillion','Quinsexagintaducentillion','Sesexagintaducentillion','Septensexagintaducentillion','Octosexagintaducentillion','Novensexagintaducentillion','Septuagintaducentillion','Unseptuagintaducentillion','Duoseptuagintaducentillion','Treseptuagintaducentillion','Quattuorseptuagintaducentillion','Quinseptuagintaducentillion','Seseptuagintaducentillion','Septenseptuagintaducentillion','Octoseptuagintaducentillion','Novenseptuagintaducentillion','Octogintaducentillion','Unoctogintaducentillion','Duooctogintaducentillion','Tresoctogintaducentillion','Quattuoroctogintaducentillion','Quinoctogintaducentillion','Sexoctogintaducentillion','Septemoctogintaducentillion','Octooctogintaducentillion','Novemoctogintaducentillion','Nonagintaducentillion','Unnonagintaducentillion','Duononagintaducentillion','Trenonagintaducentillion','Quattuornonagintaducentillion','Quinnonagintaducentillion','Senonagintaducentillion','Septenonagintaducentillion','Octononagintaducentillion','Novenonagintaducentillion','Trecentillion','Untrecentillion','Duotrecentillion','Trestrecentillion','Quattuortrecentillion','Quintrecentillion','Sestrecentillion','Septentrecentillion','Octotrecentillion','Noventrecentillion','Decitrecentillion','Undecitrecentillion','Duodecitrecentillion','Tredecitrecentillion','Quattuordecitrecentillion','Quindecitrecentillion','Sedecitrecentillion','Septendecitrecentillion','Octodecitrecentillion','Novendecitrecentillion','Vigintitrecentillion','Unvigintitrecentillion','Duovigintitrecentillion','Tresvigintitrecentillion','Quattuorvigintitrecentillion','Quinvigintitrecentillion','Sesvigintitrecentillion','Septemvigintitrecentillion','Octovigintitrecentillion','Novemvigintitrecentillion','Trigintatrecentillion','Untrigintatrecentillion','Duotrigintatrecentillion','Trestrigintatrecentillion','Quattuortrigintatrecentillion','Quintrigintatrecentillion','Sestrigintatrecentillion','Septentrigintatrecentillion','Octotrigintatrecentillion','Noventrigintatrecentillion','Quadragintatrecentillion','Unquadragintatrecentillion','Duoquadragintatrecentillion','Tresquadragintatrecentillion','Quattuorquadragintatrecentillion','Quinquadragintatrecentillion','Sesquadragintatrecentillion','Septenquadragintatrecentillion','Octoquadragintatrecentillion','Novenquadragintatrecentillion','Quinquagintatrecentillion','Unquinquagintatrecentillion','Duoquinquagintatrecentillion','Tresquinquagintatrecentillion','Quattuorquinquagintatrecentillion','Quinquinquagintatrecentillion','Sesquinquagintatrecentillion','Septenquinquagintatrecentillion','Octoquinquagintatrecentillion','Novenquinquagintatrecentillion','Sexagintatrecentillion','Unsexagintatrecentillion','Duosexagintatrecentillion','Tresexagintatrecentillion','Quattuorsexagintatrecentillion','Quinsexagintatrecentillion','Sesexagintatrecentillion','Septensexagintatrecentillion','Octosexagintatrecentillion','Novensexagintatrecentillion','Septuagintatrecentillion','Unseptuagintatrecentillion','Duoseptuagintatrecentillion','Treseptuagintatrecentillion','Quattuorseptuagintatrecentillion','Quinseptuagintatrecentillion','Seseptuagintatrecentillion','Septenseptuagintatrecentillion','Octoseptuagintatrecentillion','Novenseptuagintatrecentillion','Octogintatrecentillion','Unoctogintatrecentillion','Duooctogintatrecentillion','Tresoctogintatrecentillion','Quattuoroctogintatrecentillion','Quinoctogintatrecentillion','Sexoctogintatrecentillion','Septemoctogintatrecentillion','Octooctogintatrecentillion','Novemoctogintatrecentillion','Nonagintatrecentillion','Unnonagintatrecentillion','Duononagintatrecentillion','Trenonagintatrecentillion','Quattuornonagintatrecentillion','Quinnonagintatrecentillion','Senonagintatrecentillion','Septenonagintatrecentillion','Octononagintatrecentillion','Novenonagintatrecentillion','Quadringentillion','Unquadringentillion','Duoquadringentillion','Tresquadring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xagintaquingentillion','Septuagintaquingentillion','Unseptuagintaquingentillion','Duoseptuagintaquingentillion','Treseptuagintaquingentillion','Quattuorseptuagintaquingentillion','Quinseptuagintaquingentillion','Seseptuagintaquingentillion','Septenseptuagintaquingentillion','Octoseptuagintaquingentillion','Novenseptuagintaquingentillion','Octogintaquingentillion','Unoctogintaquingentillion','Duooctogintaquingentillion','Tresoctogintaquingentillion','Quattuoroctogintaquingentillion','Quinoctogintaquingentillion','Sexoctogintaquingentillion','Septemoctogintaquingentillion','Octooctogintaquingentillion','Novemoctogintaquingentillion','Nonagintaquingentillion','Unnonagintaquingentillion','Duononagintaquingentillion','Trenonagintaquingentillion','Quattuornonagintaquingentillion','Quinnonagintaquingentillion','Senonagintaquingentillion','Septenonagintaquingentillion','Octononagintaquingentillion','Novenonagintaquingentillion','Sescentillion','Unsescentillion','Duosescentillion','Tresescentillion','Quattuorsescentillion','Quinsescentillion','Sesescentillion','Septensescentillion','Octosescentillion','Novensescentillion','Decisescentillion','Undecisescentillion','Duodecisescentillion','Tredecisescentillion','Quattuordecisescentillion','Quindecisescentillion','Sedecisescentillion','Septendecisescentillion','Octodecisescentillion','Novendecisescentillion','Vigintisescentillion','Unvigintisescentillion','Duovigintisescentillion','Tresvigintisescentillion','Quattuorvigintisescentillion','Quinvigintisescentillion','Sesvigintisescentillion','Septemvigintisescentillion','Octovigintisescentillion','Novemvigintisescentillion','Trigintasescentillion','Untrigintasescentillion','Duotrigintasescentillion','Trestrigintasescentillion','Quattuortrigintasescentillion','Quintrigintasescentillion','Sestrigintasescentillion','Septentrigintasescentillion','Octotrigintasescentillion','Noventrigintasescentillion','Quadragintasescentillion','Unquadragintasescentillion','Duoquadragintasescentillion','Tresquadragintasescentillion','Quattuorquadragintasescentillion','Quinquadragintasescentillion','Sesquadragintasescentillion','Septenquadragintasescentillion','Octoquadragintasescentillion','Novenquadragintasescentillion','Quinquagintasescentillion','Unquinquagintasescentillion','Duoquinquagintasescentillion','Tresquinquagintasescentillion','Quattuorquinquagintasescentillion','Quinquinquagintasescentillion','Sesquinquagintasescentillion','Septenquinquagintasescentillion','Octoquinquagintasescentillion','Novenquinquagintasescentillion','Sexagintasescentillion','Unsexagintasescentillion','Duosexagintasescentillion','Tresexagintasescentillion','Quattuorsexagintasescentillion','Quinsexagintasescentillion','Sesexagintasescentillion','Septensexagintasescentillion','Octosexagintasescentillion','Novensexagintasescentillion','Septuagintasescentillion','Unseptuagintasescentillion','Duoseptuagintasescentillion','Treseptuagintasescentillion','Quattuorseptuagintasescentillion','Quinseptuagintasescentillion','Seseptuagintasescentillion','Septenseptuagintasescentillion','Octoseptuagintasescentillion','Novenseptuagintasescentillion','Octogintasescentillion','Unoctogintasescentillion','Duooctogintasescentillion','Tresoctogintasescentillion','Quattuoroctogintasescentillion','Quinoctogintasescentillion','Sexoctogintasescentillion','Septemoctogintasescentillion','Octooctogintasescentillion','Novemoctogintasescentillion','Nonagintasescentillion','Unnonagintasescentillion','Duononagintasescentillion','Trenonagintasescentillion','Quattuornonagintasescentillion','Quinnonagintasescentillion','Senonagintasescentillion','Septenonagintasescentillion','Octononagintasescentillion','Novenonagintasescentillion','Septingentillion','Unseptingentillion','Duoseptingentillion','Treseptingentillion','Quattuorseptingentillion','Quinseptingentillion','Seseptingentillion','Septenseptingentillion','Octoseptingentillion','Novenseptingentillion','Deciseptingentillion','Undeciseptingentillion','Duodeciseptingentillion','Tredeciseptingentillion','Quattuordeciseptingentillion','Quindeciseptingentillion','Sedeciseptingentillion','Septendeciseptingentillion','Octodeciseptingentillion','Novendeciseptingentillion','Vigintiseptingentillion','Unvigintiseptingentillion','Duovigintiseptingentillion','Tresvigintiseptingentillion','Quattuorvigintiseptingentillion','Quinvigintiseptingentillion','Sesvigintiseptingentillion','Septemvigintiseptingentillion','Octovigintiseptingentillion','Novemvigintiseptingentillion','Trigintaseptingentillion','Untrigintaseptingentillion','Duotrigintaseptingentillion','Trestrigintaseptingentillion','Quattuortrigintaseptingentillion','Quintrigintaseptingentillion','Sestrigintaseptingentillion','Septentrigintaseptingentillion','Octotrigintaseptingentillion','Noventrigintaseptingentillion','Quadragintaseptingentillion','Unquadragintaseptingentillion','Duoquadragintaseptingentillion','Tresquadragintaseptingentillion','Quattuorquadragintaseptingentillion','Quinquadragintaseptingentillion','Sesquadragintaseptingentillion','Septenquadragintaseptingentillion','Octoquadragintaseptingentillion','Novenquadragintaseptingentillion','Quinquagintaseptingentillion','Unquinquagintaseptingentillion','Duoquinquagintaseptingentillion','Tresquinquagintaseptingentillion','Quattuorquinquagintaseptingentillion','Quinquinquagintaseptingentillion','Sesquinquagintaseptingentillion','Septenquinquagintaseptingentillion','Octoquinquagintaseptingentillion','Novenquinquagintaseptingentillion','Sexagintaseptingentillion','Unsexagintaseptingentillion','Duosexagintaseptingentillion','Tresexagintaseptingentillion','Quattuorsexagintaseptingentillion','Quinsexagintaseptingentillion','Sesexagintaseptingentillion','Septensexagintaseptingentillion','Octosexagintaseptingentillion','Novensexagintaseptingentillion','Septuagintaseptingentillion','Unseptuagintaseptingentillion','Duoseptuagintaseptingentillion','Treseptuagintaseptingentillion','Quattuorseptuagintaseptingentillion','Quinseptuagintaseptingentillion','Seseptuagintaseptingentillion','Septenseptuagintaseptingentillion','Octoseptuagintaseptingentillion','Novenseptuagintaseptingentillion','Octogintaseptingentillion','Unoctogintaseptingentillion','Duooctogintaseptingentillion','Tresoctogintaseptingentillion','Quattuoroctogintaseptingentillion','Quinoctogintaseptingentillion','Sexoctogintaseptingentillion','Septemoctogintaseptingentillion','Octooctogintaseptingentillion','Novemoctogintaseptingentillion','Nonagintaseptingentillion','Unnonagintaseptingentillion','Duononagintaseptingentillion','Trenonagintaseptingentillion','Quattuornonagintaseptingentillion','Quinnonagintaseptingentillion','Senonagintaseptingentillion','Septenonagintaseptingentillion','Octononagintaseptingentillion','Novenonagintaseptingentillion','Octingentillion','Unoctingentillion','Duooctingentillion','Tresoctingentillion','Quattuoroctingentillion','Quinoctingentillion','Sexoctingentillion','Septemoctingentillion','Octooctingentillion','Novemoctingentillion','Decioctingentillion','Undecioctingentillion','Duodecioctingentillion','Tredecioctingentillion','Quattuordecioctingentillion','Quindecioctingentillion','Sedecioctingentillion','Septendecioctingentillion','Octodecioctingentillion','Novendecioctingentillion','Vigintioctingentillion','Unvigintioctingentillion','Duovigintioctingentillion','Tresvigintioctingentillion','Quattuorvigintioctingentillion','Quinvigintioctingentillion','Sesvigintioctingentillion','Septemvigintioctingentillion','Octovigintioctingentillion','Novemvigintioctingentillion','Trigintaoctingentillion','Untrigintaoctingentillion','Duotrigintaoctingentillion','Trestrigintaoctingentillion','Quattuortrigintaoctingentillion','Quintrigintaoctingentillion','Sestrigintaoctingentillion','Septentrigintaoctingentillion','Octotrigintaoctingentillion','Noventrigintaoctingentillion','Quadragintaoctingentillion','Unquadragintaoctingentillion','Duoquadragintaoctingentillion','Tresquadragintaoctingentillion','Quattuorquadragintaoctingentillion','Quinquadragintaoctingentillion','Sesquadragintaoctingentillion','Septenquadragintaoctingentillion','Octoquadragintaoctingentillion','Novenquadragintaoctingentillion','Quinquagintaoctingentillion','Unquinquagintaoctingentillion','Duoquinquagintaoctingentillion','Tresquinquagintaoctingentillion','Quattuorquinquagintaoctingentillion','Quinquinquagintaoctingentillion','Sesquinquagintaoctingentillion','Septenquinquagintaoctingentillion','Octoquinquagintaoctingentillion','Novenquinquagintaoctingentillion','Sexagintaoctingentillion','Unsexagintaoctingentillion','Duosexagintaoctingentillion','Tresexagintaoctingentillion','Quattuorsexagintaoctingentillion','Quinsexagintaoctingentillion','Sesexagintaoctingentillion','Septensexagintaoctingentillion','Octosexagintaoctingentillion','Novensexagintaoctingentillion','Septuagintaoctingentillion','Unseptuagintaoctingentillion','Duoseptuagintaoctingentillion','Treseptuagintaoctingentillion','Quattuorseptuagintaoctingentillion','Quinseptuagintaoctingentillion','Seseptuagintaoctingentillion','Septenseptuagintaoctingentillion','Octoseptuagintaoctingentillion','Novenseptuagintaoctingentillion','Octogintaoctingentillion','Unoctogintaoctingentillion','Duooctogintaoctingentillion','Tresoctogintaoctingentillion','Quattuoroctogintaoctingentillion','Quinoctogintaoctingentillion','Sexoctogintaoctingentillion','Septemoctogintaoctingentillion','Octooctogintaoctingentillion','Novemoctogintaoctingentillion','Nonagintaoctingentillion','Unnonagintaoctingentillion','Duononagintaoctingentillion','Trenonagintaoctingentillion','Quattuornonagintaoctingentillion','Quinnonagintaoctingentillion','Senonagintaoctingentillion','Septenonagintaoctingentillion','Octononagintaoctingentillion','Novenonagintaoctingentillion','Nongentillion','Unnongentillion','Duonongentillion','Trenongentillion','Quattuornongentillion','Quinnongentillion','Senongentillion','Septenongentillion','Octonongentillion','Novenongentillion','Decinongentillion','Undecinongentillion','Duodecinongentillion','Tredecinongentillion','Quattuordecinongentillion','Quindecinongentillion','Sedecinongentillion','Septendecinongentillion','Octodecinongentillion','Novendecinongentillion','Vigintinongentillion','Unvigintinongentillion','Duovigintinongentillion','Tresvigintinongentillion','Quattuorvigintinongentillion','Quinvigintinongentillion','Sesvigintinongentillion','Septemvigintinongentillion','Octovigintinongentillion','Novemvigintinongentillion','Trigintanongentillion','Untrigintanongentillion','Duotrigintanongentillion','Trestrigintanongentillion','Quattuortrigintanongentillion','Quintrigintanongentillion','Sestrigintanongentillion','Septentrigintanongentillion','Octotrigintanongentillion','Noventrigintanongentillion','Quadragintanongentillion','Unquadragintanongentillion','Duoquadragintanongentillion','Tresquadragintanongentillion','Quattuorquadragintanongentillion','Quinquadragintanongentillion','Sesquadragintanongentillion','Septenquadragintanongentillion','Octoquadragintanongentillion','Novenquadragintanongentillion','Quinquagintanongentillion','Unquinquagintanongentillion','Duoquinquagintanongentillion','Tresquinquagintanongentillion','Quattuorquinquagintanongentillion','Quinquinquagintanongentillion','Sesquinquagintanongentillion','Septenquinquagintanongentillion','Octoquinquagintanongentillion','Novenquinquagintanongentillion','Sexagintanongentillion','Unsexagintanongentillion','Duosexagintanongentillion','Tresexagintanongentillion','Quattuorsexagintanongentillion','Quinsexagintanongentillion','Sesexagintanongentillion','Septensexagintanongentillion','Octosexagintanongentillion','Novensexagintanongentillion','Septuagintanongentillion','Unseptuagintanongentillion','Duoseptuagintanongentillion','Treseptuagintanongentillion','Quattuorseptuagintanongentillion','Quinseptuagintanongentillion','Seseptuagintanongentillion','Septenseptuagintanongentillion','Octoseptuagintanongentillion','Novenseptuagintanongentillion','Octogintanongentillion','Unoctogintanongentillion','Duooctogintanongentillion','Tresoctogintanongentillion','Quattuoroctogintanongentillion','Quinoctogintanongentillion','Sexoctogintanongentillion','Septemoctogintanongentillion','Octooctogintanongentillion','Novemoctogintanongentillion','Nonagintanongentillion','Unnonagintanongentillion','Duononagintanongentillion','Trenonagintanongentillion','Quattuornonagintanongentillion','Quinnonagintanongentillion','Senonagintanongentillion','Septenonagintanongentillion','Octononagintanongentillion','Novenonagintanongentillion','Millinillion','Millimillion','Millibillion','Millitrillion','Milliquadrillion','Milliquintillion','Millisextillion','Milliseptillion','Millioctillion','Millinonillion','Millidecillion','Milliundecillion','Milliduodecillion','Millitredecillion','Milliquattuordecillion','Milliquindecillion','Millisedecillion','Milliseptendecillion','Millioctodecillion','Millinovendecillion','Millivigintillion','Milliunvigintillion','Milliduovigintillion','Millitresvigintillion','Milliquattuorvigintillion','Milliquinvigintillion','Millisesvigintillion','Milliseptemvigintillion','Millioctovigintillion','Millinovemvigintillion','Millitrigintillion','Milliuntrigintillion','Milliduotrigintillion','Millitrestrigintillion','Milliquattuortrigintillion','Milliquintrigintillion','Millisestrigintillion','Milliseptentrigintillion','Millioctotrigintillion','Millinoventrigintillion','Milliquadragintillion','Milliunquadragintillion','Milliduoquadragintillion','Millitresquadragintillion','Milliquattuorquadragintillion','Milliquinquadragintillion','Millisesquadragintillion','Milliseptenquadragintillion','Millioctoquadragintillion','Millinovenquadragintillion','Milliquinquagintillion','Milliunquinquagintillion','Milliduoquinquagintillion','Millitresquinquagintillion','Milliquattuorquinquagintillion','Milliquinquinquagintillion','Millisesquinquagintillion','Milliseptenquinquagintillion','Millioctoquinquagintillion','Millinovenquinquagintillion','Millisexagintillion','Milliunsexagintillion','Milliduosexagintillion','Millitreseptuagintillion','Milliquattuorsexagintillion','Milliquinsexagintillion','Millisesexagintillion','Milliseptensexagintillion','Millioctosexagintillion','Millinovensexagintillion','Milliseptuagintillion','Milliunseptuagintillion','Milliduoseptuagintillion','Millitreseptuagintillion','Milliquattuorseptuagintillion','Milliquinseptuagintillion','Milliseseptuagintillion','Milliseptenseptuagintillion','Millioctoseptuagintillion','Millinovenseptuagintillion','Millioctogintillion','Milliunoctogintillion','Milliduooctogintillion','Millitresoctogintillion','Milliquattuoroctogintillion','Milliquinoctogintillion','Millisexoctogintillion','Milliseptemoctogintillion','Millioctooctogintillion','Millinovemoctogintillion','Millinonagintillion','Milliunnonagintillion','Milliduononagintillion','Millitrenonagintillion','Milliquattuornonagintillion','Milliquinnonagintillion','Millisenonagintillion','Milliseptenonagintillion','Millioctononagintillion','Millinovenonagintillion','Millicentillion','Milliuncentillion','Milliduocentillion','Millitrescentillion','Milliquattuorcentillion','Milliquincentillion','Millisexcentillion','Milliseptencentillion','Millioctocentillion','Millinovencentillion','Millidecicentillion','Milliundecicentillion','Milliduodecicentillion','Millitredecicentillion','Milliquattuordecicentillion','Milliquindecicentillion','Millisedecicentillion','Milliseptendecicentillion','Millioctodecicentillion','Millinovendecicentillion','Milliviginticentillion','Milliunviginticentillion','Milliduoviginticentillion','Millitresviginticentillion','Milliquattuorviginticentillion','Milliquinviginticentillion','Millisesviginticentillion','Milliseptemviginticentillion','Millioctoviginticentillion','Millinovemviginticentillion','Millitrigintacentillion','Milliuntrigintacentillion','Milliduotrigintacentillion','Millitrestrigintacentillion','Milliquattuortrigintacentillion','Milliquintrigintacentillion','Millisestrigintacentillion','Milliseptentrigintacentillion','Millioctotrigintacentillion','Millinoventrigintacentillion','Milliquadragintacentillion','Milliunquadragintacentillion','Milliduoquadragintacentillion','Millitresquadragintacentillion','Milliquattuorquadragintacentillion','Milliquinquadragintacentillion','Millisesquadragintacentillion','Milliseptenquadragintacentillion','Millioctoquadragintacentillion','Millinovenquadragintacentillion','Milliquinquagintacentillion','Milliunquinquagintacentillion','Milliduoquinquagintacentillion','Millitresquinquagintacentillion','Milliquattuorquinquagintacentillion','Milliquinquinquagintacentillion','Millisesquinquagintacentillion','Milliseptenquinquagintacentillion','Millioctoquinquagintacentillion','Millinovenquinquagintacentillion','Millisexagintacentillion','Milliunsexagintacentillion','Milliduosexagintacentillion','Millitresexagintacentillion','Milliquattuorsexagintacentillion','Milliquinsexagintacentillion','Millisesexagintacentillion','Milliseptensexagintacentillion','Millioctosexagintacentillion','Millinovensexagintacentillion','Milliseptuagintacentillion','Milliunseptuagintacentillion','Milliduoseptuagintacentillion','Millitreseptuagintacentillion','Milliquattuorseptuagintacentillion','Milliquinseptuagintacentillion','Milliseseptuagintacentillion','Milliseptenseptuagintacentillion','Millioctoseptuagintacentillion','Millinovenseptuagintacentillion','Millioctogintacentillion','Milliunoctogintacentillion','Milliduooctogintacentillion','Millitresoctogintacentillion','Milliquattuoroctogintacentillion','Milliquinoctogintacentillion','Millisexoctogintacentillion','Milliseptemoctogintacentillion','Millioctooctogintacentillion','Millinovemoctogintacentillion','Millinonagintacentillion','Milliunnonagintacentillion','Milliduononagintacentillion','Millitrenonagintacentillion','Milliquattuornonagintacentillion','Milliquinnonagintacentillion','Millisenonagintacentillion','Milliseptenonagintacentillion','Millioctononagintacentillion','Millinovenonagintacentillion','Milliducentillion','Milliunducentillion','Milliduoducentillion','Millitreducentillion','Milliquattuorducentillion','Milliquinducentillion','Milliseducentillion','Milliseptenducentillion','Millioctoducentillion','Millinovenducentillion','Millideciducentillion','Milliundeciducentillion','Milliduodeciducentillion','Millitredeciducentillion','Milliquattuordeciducentillion','Milliquindeciducentillion','Millisedeciducentillion','Milliseptendeciducentillion','Millioctodeciducentillion','Millinovendeciducentillion','Millivigintiducentillion','Milliunvigintiducentillion','Milliduovigintiducentillion','Millitresvigintiducentillion','Milliquattuorvigintiducentillion','Milliquinvigintiducentillion','Millisesvigintiducentillion','Milliseptemvigintiducentillion','Millioctovigintiducentillion','Millinovemvigintiducentillion','Millitrigintaducentillion','Milliuntrigintaducentillion','Milliduotrigintaducentillion','Millitrestrigintaducentillion','Milliquattuortrigintaducentillion','Milliquintrigintaducentillion','Millisestrigintaducentillion','Milliseptentrigintaducentillion','Millioctotrigintaducentillion','Millinoventrigintaducentillion','Milliquadragintaducentillion','Milliunquadragintaducentillion','Milliduoquadragintaducentillion','Millitresquadragintaducentillion','Milliquattuorquadragintaducentillion','Milliquinquadragintaducentillion','Millisesquadragintaducentillion','Milliseptenquadragintaducentillion','Millioctoquadragintaducentillion','Millinovenquadragintaducentillion','Milliquinquagintaducentillion','Milliunquinquagintaducentillion','Milliduoquinquagintaducentillion','Millitresquinquagintaducentillion','Milliquattuorquinquagintaducentillion','Milliquinquinquagintaducentillion','Millisesquinquagintaducentillion','Milliseptenquinquagintaducentillion','Millioctoquinquagintaducentillion','Millinovenquinquagintaducentillion','Millisexagintaducentillion','Milliunsexagintaducentillion','Milliduosexagintaducentillion','Millitresexagintaducentillion','Milliquattuorsexagintaducentillion','Milliquinsexagintaducentillion','Millisesexagintaducentillion','Milliseptensexagintaducentillion','Millioctosexagintaducentillion','Millinovensexagintaducentillion','Milliseptuagintaducentillion','Milliunseptuagintaducentillion','Milliduoseptuagintaducentillion','Millitreseptuagintaducentillion','Milliquattuorseptuagintaducentillion','Milliquinseptuagintaducentillion','Milliseseptuagintaducentillion','Milliseptenseptuagintaducentillion','Millioctoseptuagintaducentillion','Millinovenseptuagintaducentillion','Millioctogintaducentillion','Milliunoctogintaducentillion','Milliduooctogintaducentillion','Millitresoctogintaducentillion','Milliquattuoroctogintaducentillion','Milliquinoctogintaducentillion','Millisexoctogintaducentillion','Milliseptemoctogintaducentillion','Millioctooctogintaducentillion','Millinovemoctogintaducentillion','Millinonagintaducentillion','Milliunnonagintaducentillion','Milliduononagintaducentillion','Millitrenonagintaducentillion','Milliquattuornonagintaducentillion','Milliquinnonagintaducentillion','Millisenonagintaducentillion','Milliseptenonagintaducentillion','Millioctononagintaducentillion','Millinovenonagintaducentillion','Millitrecentillion','Milliuntrecentillion','Milliduotrecentillion','Millitrestrecentillion','Milliquattuortrecentillion','Milliquintrecentillion','Millisestrecentillion','Milliseptentrecentillion','Millioctotrecentillion','Millinoventrecentillion','Millidecitrecentillion','Milliundecitrecentillion','Milliduodecitrecentillion','Millitredecitrecentillion','Milliquattuordecitrecentillion','Milliquindecitrecentillion','Millisedecitrecentillion','Milliseptendecitrecentillion','Millioctodecitrecentillion','Millinovendecitrecentillion','Millivigintitrecentillion','Milliunvigintitrecentillion','Milliduovigintitrecentillion','Millitresvigintitrecentillion','Milliquattuorvigintitrecentillion','Milliquinvigintitrecentillion','Millisesvigintitrecentillion','Milliseptemvigintitrecentillion','Millioctovigintitrecentillion','Millinovemvigintitrecentillion','Millitrigintatrecentillion','Milliuntrigintatrecentillion','Milliduotrigintatrecentillion','Millitrestrigintatrecentillion','Milliquattuortrigintatrecentillion','Milliquintrigintatrecentillion','Millisestrigintatrecentillion','Milliseptentrigintatrecentillion','Millioctotrigintatrecentillion','Millinoventrigintatrecentillion','Milliquadragintatrecentillion','Milliunquadragintatrecentillion','Milliduoquadragintatrecentillion','Millitresquadragintatrecentillion','Milliquattuorquadragintatrecentillion','Milliquinquadragintatrecentillion','Millisesquadragintatrecentillion','Milliseptenquadragintatrecentillion','Millioctoquadragintatrecentillion','Millinovenquadragintatrecentillion','Milliquinquagintatrecentillion','Milliunquinquagintatrecentillion','Milliduoquinquagintatrecentillion','Millitresquinquagintatrecentillion','Milliquattuorquinquagintatrecentillion','Milliquinquinquagintatrecentillion','Millisesquinquagintatrecentillion','Milliseptenquinquagintatrecentillion','Millioctoquinquagintatrecentillion','Millinovenquinquagintatrecentillion','Millisexagintatrecentillion','Milliunsexagintatrecentillion','Milliduosexagintatrecentillion','Millitresexagintatrecentillion','Milliquattuorsexagintatrecentillion','Milliquinsexagintatrecentillion','Millisesexagintatrecentillion','Milliseptensexagintatrecentillion','Millioctosexagintatrecentillion','Millinovensexagintatrecentillion','Milliseptuagintatrecentillion','Milliunseptuagintatrecentillion','Milliduoseptuagintatrecentillion','Millitreseptuagintatrecentillion','Milliquattuorseptuagintatrecentillion','Milliquinseptuagintatrecentillion','Milliseseptuagintatrecentillion','Milliseptenseptuagintatrecentillion','Millioctoseptuagintatrecentillion','Millinovenseptuagintatrecentillion','Millioctogintatrecentillion','Milliunoctogintatrecentillion','Milliduooctogintatrecentillion','Millitresoctogintatrecentillion','Milliquattuoroctogintatrecentillion','Milliquinoctogintatrecentillion','Millisexoctogintatrecentillion','Milliseptemoctogintatrecentillion','Millioctooctogintatrecentillion','Millinovemoctogintatrecentillion','Millinonagintatrecentillion','Milliunnonagintatrecentillion','Milliduononagintatrecentillion','Millitrenonagintatrecentillion','Milliquattuornonagintatrecentillion','Milliquinnonagintatrecentillion','Millisenonagintatrecentillion','Milliseptenonagintatrecentillion','Millioctononagintatrecentillion','Millinovenonagintatrecentillion','Milliquadringentillion','Milliunquadringentillion','Milliduoquadringentillion','Millitresquadringentillion','Milliquattuorquadringentillion','Milliquinquadringentillion','Millisesquadringentillion','Milliseptenquadringentillion','Millioctoquadringentillion','Millinovenquadringentillion','Millideciquadringentillion','Milliundeciquadringentillion','Milliduodeciquadringentillion','Millitredeciquadringentillion','Milliquattuordeciquadringentillion','Milliquindeciquadringentillion','Millisedeciquadringentillion','Milliseptendeciquadringentillion','Millioctodeciquadringentillion','Millinovendeciquadringentillion','Millivigintiquadringentillion','Milliunvigintiquadringentillion','Milliduovigintiquadringentillion','Millitresvigintiquadringentillion','Milliquattuorvigintiquadringentillion','Milliquinvigintiquadringentillion','Millisesvigintiquadringentillion','Milliseptemvigintiquadringentillion','Millioctovigintiquadringentillion','Millinovemvigintiquadringentillion','Millitrigintaquadringentillion','Milliuntrigintaquadringentillion','Milliduotrigintaquadringentillion','Millitrestrigintaquadringentillion','Milliquattuortrigintaquadringentillion','Milliquintrigintaquadringentillion','Millisestrigintaquadringentillion','Milliseptentrigintaquadringentillion','Millioctotrigintaquadringentillion','Millinoventrigintaquadringentillion','Milliquadragintaquadringentillion','Milliunquadragintaquadringentillion','Milliduoquadragintaquadringentillion','Millitresquadragintaquadringentillion','Milliquattuorquadragintaquadringentillion','Milliquinquadragintaquadringentillion','Millisesquadragintaquadringentillion','Milliseptenquadragintaquadringentillion','Millioctoquadragintaquadringentillion','Millinovenquadragintaquadringentillion','Milliquinquagintaquadringentillion','Milliunquinquagintaquadragintillion','Milliduoquinquagintaquadragintillion','Millitresquinquagintaquadragintillion','Milliquattuorquinquagintaquadragintillion','Milliquinquinquagintaquadragintillion','Millisesquinquagintaquadragintillion','Milliseptenquinquagintaquadragintillion','Millioctoquinquagintaquadragintillion','Millinovenquinquagintaquadragintillion','Millisexagintaquadragintillion','Milliunsexagintaquadragintillion','Milliduosexagintaquadragintillion','Millitresexagintaquadragintillion','Milliquattuorsexagintaquadragintillion','Milliquinsexagintaquadragintillion','Millisesexagintaquadragintillion','Milliseptensexagintaquadragintillion','Millioctosexagintaquadragintillion','Millinovensexagintaquadragintillion','Milliseptuagintaquadragintillion','Milliunseptuagintaquadragintillion','Milliduoseptuagintaquadragintillion','Millitreseptuagintaquadragintillion','Milliquattuorseptuagintaquadragintillion','Milliquinseptuagintaquadragintillion','Milliseseptuagintaquadragintillion','Milliseptenseptuagintaquadragintillion','Millioctoseptuagintaquadragintillion','Millinovenseptuagintaquadragintillion','Millioctogintaquadringentillion','Milliunoctogintaquadragintillion','Milliduooctogintaquadragintillion','Millitresoctogintaquadragintillion','Milliquattuoroctogintaquadragintillion','Milliquinoctogintaquadragintillion','Millisexoctogintaquadragintillion','Milliseptemoctogintaquadragintillion','Millioctooctogintaquadragintillion','Millinovemoctogintaquadragintillion','Millinonagintaquadragintillion','Milliunnonagintaquadragintillion','Milliduononagintaquadragintillion','Millitrenonagintaquadragintillion','Milliquattuornonagintaquadragintillion','Milliquinnonagintaquadragintillion','Millisenonagintaquadragintillion','Milliseptenonagintaquadragintillion','Millioctononagintaquadragintillion','Millinovenonagintaquadragintillion','Milliquingentillion','Milliunquingentillion','Milliduoquingentillion','Millitresquingentillion','Milliquattuorquingentillion','Milliquinquingentillion','Millisesquingentillion','Milliseptenquingentillion','Millioctoquingentillion','Millinovenquingentillion','Millideciquingentillion','Milliundeciquingentillion','Milliduodeciquingentillion','Millitredeciquingentillion','Milliquattuordeciquingentillion','Milliquindeciquingentillion','Millisedeciquingentillion','Milliseptendeciquingentillion','Millioctodeciquingentillion','Millinovendeciquingentillion','Millivigintiquingentillion','Milliunvigintiquingentillion','Milliduovigintiquingentillion','Millitresvigintiquingentillion','Milliquattuorvigintiquingentillion','Milliquinvigintiquingentillion','Millisesvigintiquingentillion','Milliseptemvigintiquingentillion','Millioctovigintiquingentillion','Millinovemvigintiquingentillion','Millitrigintaquingentillion','Milliuntrigintaquingentillion','Milliduotrigintaquingentillion','Millitrestrigintaquingentillion','Milliquattuortrigintaquingentillion','Milliquintrigintaquingentillion','Millisestrigintaquingentillion','Milliseptentrigintaquingentillion','Millioctotrigintaquingentillion','Millinoventrigintaquingentillion','Milliquadragintaquingentillion','Milliunquadragintaquingentillion','Milliduoquadragintaquingentillion','Millitresquadragintaquingentillion','Milliquattuorquadragintaquingentillion','Milliquinquadragintaquingentillion','Millisesquadragintaquingentillion','Milliseptenquadragintaquingentillion','Millioctoquadragintaquingentillion','Millinovenquadragintaquingentillion','Milliquinquagintaquingentillion','Milliunquinquagintaquingentillion','Milliduoquinquagintaquingentillion','Millitresquinquagintaquingentillion','Milliquattuorquinquagintaquingentillion','Milliquinquinquagintaquingentillion','Millisesquinquagintaquingentillion','Milliseptenquinquagintaquingentillion','Millioctoquinquagintaquingentillion','Millinovenquinquagintaquingentillion','Millisexagintaquingentillion','Milliunsexagintaquingentillion','Milliduosexagintaquingentillion','Millitresexagintaquingentillion','Milliquattuorsexagintaquingentillion','Milliquinsexagintaquingentillion','Millisesexagintaquingentillion','Milliseptensexagintaquingentillion','Millioctosexagintaquingentillion','Millinovensexagintaquingentillion','Milliseptuagintaquingentillion','Milliunseptuagintaquingentillion','Milliduoseptuagintaquingentillion','Millitreseptuagintaquingentillion','Milliquattuorseptuagintaquingentillion','Milliquinseptuagintaquingentillion','Milliseseptuagintaquingentillion','Milliseptenseptuagintaquingentillion','Millioctoseptuagintaquingentillion','Millinovenseptuagintaquingentillion','Millioctogintaquingentillion','Milliunoctogintaquingentillion','Milliduooctogintaquingentillion','Millitresoctogintaquingentillion','Milliquattuoroctogintaquingentillion','Milliquinoctogintaquingentillion','Millisexoctogintaquingentillion','Milliseptemoctogintaquingentillion','Millioctooctogintaquingentillion','Millinovemoctogintaquingentillion','Millinonagintaquingentillion','Milliunnonagintaquingentillion','Milliduononagintaquingentillion','Millitrenonagintaquingentillion','Milliquattuornonagintaquingentillion','Milliquinnonagintaquingentillion','Millisenonagintaquingentillion','Milliseptenonagintaquingentillion','Millioctononagintaquingentillion','Millinovenonagintaquingentillion','Millisescentillion','Milliunsescentillion','Milliduosescentillion','Millitresescentillion','Milliquattuorsescentillion','Milliquinsescentillion','Millisesescentillion','Milliseptensescentillion','Millioctosescentillion','Millinovensescentillion','Millidecisescentillion','Milliundecisescentillion','Milliduodecisescentillion','Millitredecisescentillion','Milliquattuordecisescentillion','Milliquindecisescentillion','Millisedecisescentillion','Milliseptendecisescentillion','Millioctodecisescentillion','Millinovendecisescentillion','Millivigintisescentillion','Milliunvigintisescentillion','Milliduovigintisescentillion','Millitresvigintisescentillion','Milliquattuorvigintisescentillion','Milliquinvigintisescentillion','Millisesvigintisescentillion','Milliseptemvigintisescentillion','Millioctovigintisescentillion','Millinovemvigintisescentillion','Millitrigintasescentillion','Milliuntrigintasescentillion','Milliduotrigintasescentillion','Millitrestrigintasescentillion','Milliquattuortrigintasescentillion','Milliquintrigintasescentillion','Millisestrigintasescentillion','Milliseptentrigintasescentillion','Millioctotrigintasescentillion','Millinoventrigintasescentillion','Milliquadragintasescentillion','Milliunquadragintasescentillion','Milliduoquadragintasescentillion','Millitresquadragintasescentillion','Milliquattuorquadragintasescentillion','Milliquinquadragintasescentillion','Millisesquadragintasescentillion','Milliseptenquadragintasescentillion','Millioctoquadragintasescentillion','Millinovenquadragintasescentillion','Milliquinquagintasescentillion','Milliunquinquagintasescentillion','Milliduoquinquagintasescentillion','Millitresquinquagintasescentillion','Milliquattuorquinquagintasescentillion','Milliquinquinquagintasescentillion','Millisesquinquagintasescentillion','Milliseptenquinquagintasescentillion','Millioctoquinquagintasescentillion','Millinovenquinquagintasescentillion','Millisexagintasescentillion','Milliunsexagintasescentillion','Milliduosexagintasescentillion','Millitresexagintasescentillion','Milliquattuorsexagintasescentillion','Milliquinsexagintasescentillion','Millisesexagintasescentillion','Milliseptensexagintasescentillion','Millioctosexagintasescentillion','Millinovensexagintasescentillion','Milliseptuagintasescentillion','Milliunseptuagintasescentillion','Milliduoseptuagintasescentillion','Millitreseptuagintasescentillion','Milliquattuorseptuagintasescentillion','Milliquinseptuagintasescentillion','Milliseseptuagintasescentillion','Milliseptenseptuagintasescentillion','Millioctoseptuagintasescentillion','Millinovenseptuagintasescentillion','Millioctogintasescentillion','Milliunoctogintasescentillion','Milliduooctogintasescentillion','Millitresoctogintasescentillion','Milliquattuoroctogintasescentillion','Milliquinoctogintasescentillion','Millisexoctogintasescentillion','Milliseptemoctogintasescentillion','Millioctooctogintasescentillion','Millinovemoctogintasescentillion','Millinonagintasescentillion','Milliunnonagintasescentillion','Milliduononagintasescentillion','Millitrenonagintasescentillion','Milliquattuornonagintasescentillion','Milliquinnonagintasescentillion','Millisenonagintasescentillion','Milliseptenonagintasescentillion','Millioctononagintasescentillion','Millinovenonagintasescentillion','Milliseptingentillion','Milliunseptingentillion','Milliduoseptingentillion','Millitreseptingentillion','Milliquattuorseptingentillion','Milliquinseptingentillion','Milliseseptingentillion','Milliseptenseptingentillion','Millioctoseptingentillion','Millinovenseptingentillion','Millideciseptingentillion','Milliundeciseptingentillion','Milliduodeciseptingentillion','Millitredeciseptingentillion','Milliquattuordeciseptingentillion','Milliquindeciseptingentillion','Millisedeciseptingentillion','Milliseptendeciseptingentillion','Millioctodeciseptingentillion','Millinovendeciseptingentillion','Millivigintiseptingentillion','Milliunvigintiseptingentillion','Milliduovigintiseptingentillion','Millitresvigintiseptingentillion','Milliquattuorvigintiseptingentillion','Milliquinvigintiseptingentillion','Millisesvigintiseptingentillion','Milliseptemvigintiseptingentillion','Millioctovigintiseptingentillion','Millinovemvigintiseptingentillion','Millitrigintaseptingentillion','Milliuntrigintaseptingentillion','Milliduotrigintaseptingentillion','Millitrestrigintaseptingentillion','Milliquattuortrigintaseptingentillion','Milliquintrigintaseptingentillion','Millisestrigintaseptingentillion','Milliseptentrigintaseptingentillion','Millioctotrigintaseptingentillion','Millinoventrigintaseptingentillion','Milliquadragintaseptingentillion','Milliunquadragintaseptingentillion','Milliduoquadragintaseptingentillion','Millitresquadragintaseptingentillion','Milliquattuorquadragintaseptingentillion','Milliquinquadragintaseptingentillion','Millisesquadragintaseptingentillion','Milliseptenquadragintaseptingentillion','Millioctoquadragintaseptingentillion','Millinovenquadragintaseptingentillion','Milliquinquagintaseptingentillion','Milliunquinquagintaseptingentillion','Milliduoquinquagintaseptingentillion','Millitresquinquagintaseptingentillion','Milliquattuorquinquagintaseptingentillion','Milliquinquinquagintaseptingentillion','Millisesquinquagintaseptingentillion','Milliseptenquinquagintaseptingentillion','Millioctoquinquagintaseptingentillion','Millinovenquinquagintaseptingentillion','Millisexagintaseptingentillion','Milliunsexagintaseptingentillion','Milliduosexagintaseptingentillion','Millitresexagintaseptingentillion','Milliquattuorsexagintaseptingentillion','Milliquinsexagintaseptingentillion','Millisesexagintaseptingentillion','Milliseptensexagintaseptingentillion','Millioctosexagintaseptingentillion','Millinovensexagintaseptingentillion','Milliseptuagintaseptingentillion','Milliunseptuagintaseptingentillion','Milliduoseptuagintaseptingentillion','Millitreseptuagintaseptingentillion','Milliquattuorseptuagintaseptingentillion','Milliquinseptuagintaseptingentillion','Milliseseptuagintaseptingentillion','Milliseptenseptuagintaseptingentillion','Millioctoseptuagintaseptingentillion','Millinovenseptuagintaseptingentillion','Millioctogintaseptingentillion','Milliunoctogintaseptingentillion','Milliduooctogintaseptingentillion','Millitresoctogintaseptingentillion','Milliquattuoroctogintaseptingentillion','Milliquinoctogintaseptingentillion','Millisexoctogintaseptingentillion','Milliseptemoctogintaseptingentillion','Millioctooctogintaseptingentillion','Millinovemoctogintaseptingentillion','Millinonagintaseptingentillion','Milliunnonagintaseptingentillion','Milliduononagintaseptingentillion','Millitrenonagintaseptingentillion','Milliquattuornonagintaseptingentillion','Milliquinnonagintaseptingentillion','Millisenonagintaseptingentillion','Milliseptenonagintaseptingentillion','Millioctononagintaseptingentillion','Millinovenonagintaseptingentillion','Millioctingentillion','Milliunoctingentillion','Milliduooctingentillion','Millitresoctingentillion','Milliquattuoroctingentillion','Milliquinoctingentillion','Millisexoctingentillion','Milliseptemoctingentillion','Millioctooctingentillion','Millinovemoctingentillion','Millidecioctingentillion','Milliundecioctingentillion','Milliduodecioctingentillion','Millitredecioctingentillion','Milliquattuordecioctingentillion','Milliquindecioctingentillion','Millisedecioctingentillion','Milliseptendecioctingentillion','Millioctodecioctingentillion','Millinovendecioctingentillion','Millivigintioctingentillion','Milliunvigintioctingentillion','Milliduovigintioctingentillion','Millitresvigintioctingentillion','Milliquattuorvigintioctingentillion','Milliquinvigintioctingentillion','Millisesvigintioctingentillion','Milliseptemvigintioctingentillion','Millioctovigintioctingentillion','Millinovemvigintioctingentillion','Millitrigintaoctingentillion','Milliuntrigintaoctingentillion','Milliduotrigintaoctingentillion','Millitrestrigintaoctingentillion','Milliquattuortrigintaoctingentillion','Milliquintrigintaoctingentillion','Millisestrigintaoctingentillion','Milliseptentrigintaoctingentillion','Millioctotrigintaoctingentillion','Millinoventrigintaoctingentillion','Milliquadragintaoctingentillion','Milliunquadragintaoctingentillion','Milliduoquadragintaoctingentillion','Millitresquadragintaoctingentillion','Milliquattuorquadragintaoctingentillion','Milliquinquadragintaoctingentillion','Millisesquadragintaoctingentillion','Milliseptenquadragintaoctingentillion','Millioctoquadragintaoctingentillion','Millinovenquadragintaoctingentillion','Milliquinquagintaoctingentillion','Milliunquinquagintaoctingentillion','Milliduoquinquagintaoctingentillion','Millitresquinquagintaoctingentillion','Milliquattuorquinquagintaoctingentillion','Milliquinquinquagintaoctingentillion','Millisesquinquagintaoctingentillion','Milliseptenquinquagintaoctingentillion','Millioctoquinquagintaoctingentillion','Millinovenquinquagintaoctingentillion','Millisexagintaoctingentillion','Milliunsexagintaoctingentillion','Milliduosexagintaoctingentillion','Millitresexagintaoctingentillion','Milliquattuorsexagintaoctingentillion','Milliquinsexagintaoctingentillion','Millisesexagintaoctingentillion','Milliseptensexagintaoctingentillion','Millioctosexagintaoctingentillion','Millinovensexagintaoctingentillion','Milliseptuagintaoctingentillion','Milliunseptuagintaoctingentillion','Milliduoseptuagintaoctingentillion','Millitreseptuagintaoctingentillion','Milliquattuorseptuagintaoctingentillion','Milliquinseptuagintaoctingentillion','Milliseseptuagintaoctingentillion','Milliseptenseptuagintaoctingentillion','Millioctoseptuagintaoctingentillion','Millinovenseptuagintaoctingentillion','Millioctogintaoctingentillion','Milliunoctogintaoctingentillion','Milliduooctogintaoctingentillion','Millitresoctogintaoctingentillion','Milliquattuoroctogintaoctingentillion','Milliquinoctogintaoctingentillion','Millisexoctogintaoctingentillion','Milliseptemoctogintaoctingentillion','Millioctooctogintaoctingentillion','Millinovemoctogintaoctingentillion','Millinonagintaoctingentillion','Milliunnonagintaoctingentillion','Milliduononagintaoctingentillion','Millitrenonagintaoctingentillion','Milliquattuornonagintaoctingentillion','Milliquinnonagintaoctingentillion','Millisenonagintaoctingentillion','Milliseptenonagintaoctingentillion','Millioctononagintaoctingentillion','Millinovenonagintaoctingentillion','Millinongentillion','Milliunnongentillion','Milliduonongentillion','Millitrenongentillion','Milliquattuornongentillion','Milliquinnongentillion','Millisenongentillion','Milliseptenongentillion','Millioctonongentillion','Millinovenongentillion','Millidecinongentillion','Milliundecinongentillion','Milliduodecinongentillion','Millitredecinongentillion','Milliquattuordecinongentillion','Milliquindecinongentillion','Millisedecinongentillion','Milliseptendecinongentillion','Millioctodecinongentillion','Millinovendecinongentillion','Millivigintinongentillion','Milliunvigintinongentillion','Milliduovigintinongentillion','Millitresvigintinongentillion','Milliquattuorvigintinongentillion','Milliquinvigintinongentillion','Millisesvigintinongentillion','Milliseptemvigintinongentillion','Millioctovigintinongentillion','Millinovemvigintinongentillion','Millitrigintanongentillion','Milliuntrigintanongentillion','Milliduotrigintanongentillion','Millitrestrigintanongentillion','Milliquattuortrigintanongentillion','Milliquintrigintanongentillion','Millisestrigintanongentillion','Milliseptentrigintanongentillion','Millioctotrigintanongentillion','Millinoventrigintanongentillion','Milliquadragintanongentillion','Milliunquadragintanongentillion','Milliduoquadragintanongentillion','Millitresquadragintanongentillion','Milliquattuorquadragintanongentillion','Milliquinquadragintanongentillion','Millisesquadragintanongentillion','Milliseptenquadragintanongentillion','Millioctoquadragintanongentillion','Millinovenquadragintanongentillion','Milliquinquagintanongentillion','Milliunquinquagintanongentillion','Milliduoquinquagintanongentillion','Millitresquinquagintanongentillion','Milliquattuorquinquagintanongentillion','Milliquinquinquagintanongentillion','Millisesquinquagintanongentillion','Milliseptenquinquagintanongentillion','Millioctoquinquagintanongentillion','Millinovenquinquagintanongentillion','Millisexagintanongentillion','Milliunsexagintanongentillion','Milliduosexagintanongentillion','Millitresexagintanongentillion','Milliquattuorsexagintanongentillion','Milliquinsexagintanongentillion','Millisesexagintanongentillion','Milliseptensexagintanongentillion','Millioctosexagintanongentillion','Millinovensexagintanongentillion','Milliseptuagintanongentillion','Milliunseptuagintanongentillion','Milliduoseptuagintanongentillion','Millitreseptuagintanongentillion','Milliquattuorseptuagintanongentillion','Milliquinseptuagintanongentillion','Milliseseptuagintanongentillion','Milliseptenseptuagintanongentillion','Millioctoseptuagintanongentillion','Millinovenseptuagintanongentillion','Millioctogintanongentillion','Milliunoctogintanongentillion','Milliduooctogintanongentillion','Millitresoctogintanongentillion','Milliquattuoroctogintanongentillion','Milliquinoctogintanongentillion','Millisexoctogintanongentillion','Milliseptemoctogintanongentillion','Millioctooctogintanongentillion','Millinovemoctogintanongentillion','Millinonagintanongentillion','Milliunnonagintanongentillion','Milliduononagintanongentillion','Millitrenonagintanongentillion','Milliquattuornonagintanongentillion','Milliquinnonagintanongentillion','Millisenonagintanongentillion','Millisepteno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Trilliduononagintillion','Trillitrenonagintillion','Trilliquattuornonagintillion','Trilliquinnonagintillion','Trillisenonagintillion','Trilliseptenonagintillion','Trillioctononagintillion','Trillinovenonagintillion','Trillicentillion','Trilliuncentillion','Trilliduocentillion','Trillitrescentillion','Trilliquattuorcentillion','Trilliquincentillion','Trillisexcentillion','Trilliseptencentillion','Trillioctocentillion','Trillinovencentillion','Trillidecicentillion','Trilliundecicentillion','Trilliduodecicentillion','Trillitredecicentillion','Trilliquattuordecicentillion','Trilliquindecicentillion','Trillisedecicentillion','Trilliseptendecicentillion','Trillioctodecicentillion','Trillinovendecicentillion','Trilliviginticentillion','Trilliunviginticentillion','Trilliduoviginticentillion','Trillitresviginticentillion','Trilliquattuorviginticentillion','Trilliquinviginticentillion','Trillisesviginticentillion','Trilliseptemviginticentillion','Trillioctoviginticentillion','Trillinovemviginticentillion','Trillitrigintacentillion','Trilliuntrigintacentillion','Trilliduotrigintacentillion','Trillitrestrigintacentillion','Trilliquattuortrigintacentillion','Trilliquintrigintacentillion','Trillisestrigintacentillion','Trilliseptentrigintacentillion','Trillioctotrigintacentillion','Trillinoventrigintacentillion','Trilliquadragintacentillion','Trilliunquadragintacentillion','Trilliduoquadragintacentillion','Trillitresquadragintacentillion','Trilliquattuorquadragintacentillion','Trilliquinquadragintacentillion','Trillisesquadragintacentillion','Trilliseptenquadragintacentillion','Trillioctoquadragintacentillion','Trillinovenquadragintacentillion','Trilliquinquagintacentillion','Trilliunquinquagintacentillion','Trilliduoquinquagintacentillion','Trillitresquinquagintacentillion','Trilliquattuorquinquagintacentillion','Trilliquinquinquagintacentillion','Trillisesquinquagintacentillion','Trilliseptenquinquagintacentillion','Trillioctoquinquagintacentillion','Trillinovenquinquagintacentillion','Trillisexagintacentillion','Trilliunsexagintacentillion','Trilliduosexagintacentillion','Trillitresexagintacentillion','Trilliquattuorsexagintacentillion','Trilliquinsexagintacentillion','Trillisesexagintacentillion','Trilliseptensexagintacentillion','Trillioctosexagintacentillion','Trillinovensexagintacentillion','Trilliseptuagintacentillion','Trilliunseptuagintacentillion','Trilliduoseptuagintacentillion','Trillitreseptuagintacentillion','Trilliquattuorseptuagintacentillion','Trilliquinseptuagintacentillion','Trilliseseptuagintacentillion','Trilliseptenseptuagintacentillion','Trillioctoseptuagintacentillion','Trillinovenseptuagintacentillion','Trillioctogintacentillion','Trilliunoctogintacentillion','Trilliduooctogintacentillion','Trillitresoctogintacentillion','Trilliquattuoroctogintacentillion','Trilliquinoctogintacentillion','Trillisexoctogintacentillion','Trilliseptemoctogintacentillion','Trillioctooctogintacentillion','Trillinovemoctogintacentillion','Trillinonagintacentillion','Trilliunnonagintacentillion','Trilliduononagintacentillion','Trillitrenonagintacentillion','Trilliquattuornonagintacentillion','Trilliquinnonagintacentillion','Trillisenonagintacentillion','Trilliseptenonagintacentillion','Trillioctononagintacentillion','Trillinovenonagintacentillion','Trilliducentillion','Trilliunducentillion','Trilliduoducentillion','Trillitreducentillion','Trilliquattuorducentillion','Trilliquinducentillion','Trilliseducentillion','Trilliseptenducentillion','Trillioctoducentillion','Trillinovenducentillion','Trillideciducentillion','Trilliundeciducentillion','Trilliduodeciducentillion','Trillitredeciducentillion','Trilliquattuordeciducentillion','Trilliquindeciducentillion','Trillisedeciducentillion','Trilliseptendeciducentillion','Trillioctodeciducentillion','Trillinovendeciducentillion','Trillivigintiducentillion','Trilliunvigintiducentillion','Trilliduovigintiducentillion','Trillitresvigintiducentillion','Trilliquattuorvigintiducentillion','Trilliquinvigintiducentillion','Trillisesvigintiducentillion','Trilliseptemvigintiducentillion','Trillioctovigintiducentillion','Trillinovemvigintiducentillion','Trillitrigintaducentillion','Trilliuntrigintaducentillion','Trilliduotrigintaducentillion','Trillitrestrigintaducentillion','Trilliquattuortrigintaducentillion','Trilliquintrigintaducentillion','Trillisestrigintaducentillion','Trilliseptentrigintaducentillion','Trillioctotrigintaducentillion','Trillinoventrigintaducentillion','Trilliquadragintaducentillion','Trilliunquadragintaducentillion','Trilliduoquadragintaducentillion','Trillitresquadragintaducentillion','Trilliquattuorquadragintaducentillion','Trilliquinquadragintaducentillion','Trillisesquadragintaducentillion','Trilliseptenquadragintaducentillion','Trillioctoquadragintaducentillion','Trillinovenquadragintaducentillion','Trilliquinquagintaducentillion','Trilliunquinquagintaducentillion','Trilliduoquinquagintaducentillion','Trillitresquinquagintaducentillion','Trilliquattuorquinquagintaducentillion','Trilliquinquinquagintaducentillion','Trillisesquinquagintaducentillion','Trilliseptenquinquagintaducentillion','Trillioctoquinquagintaducentillion','Trillinovenquinquagintaducentillion','Trillisexagintaducentillion','Trilliunsexagintaducentillion','Trilliduosexagintaducentillion','Trillitresexagintaducentillion','Trilliquattuorsexagintaducentillion','Trilliquinsexagintaducentillion','Trillisesexagintaducentillion','Trilliseptensexagintaducentillion','Trillioctosexagintaducentillion','Trillinovensexagintaducentillion','Trilliseptuagintaducentillion','Trilliunseptuagintaducentillion','Trilliduoseptuagintaducentillion','Trillitreseptuagintaducentillion','Trilliquattuorseptuagintaducentillion','Trilliquinseptuagintaducentillion','Trilliseseptuagintaducentillion','Trilliseptenseptuagintaducentillion','Trillioctoseptuagintaducentillion','Trillinovenseptuagintaducentillion','Trillioctogintaducentillion','Trilliunoctogintaducentillion','Trilliduooctogintaducentillion','Trillitresoctogintaducentillion','Trilliquattuoroctogintaducentillion','Trilliquinoctogintaducentillion','Trillisexoctogintaducentillion','Trilliseptemoctogintaducentillion','Trillioctooctogintaducentillion','Trillinovemoctogintaducentillion','Trillinonagintaducentillion','Trilliunnonagintaducentillion','Trilliduononagintaducentillion','Trillitrenonagintaducentillion','Trilliquattuornonagintaducentillion','Trilliquinnonagintaducentillion','Trillisenonagintaducentillion','Trilliseptenonagintaducentillion','Trillioctononagintaducentillion','Trillinovenonagintaducentillion','Trillitrecentillion','Trilliuntrecentillion','Trilliduotrecentillion','Trillitrestrecentillion','Trilliquattuortrecentillion','Trilliquintrecentillion','Trillisestrecentillion','Trilliseptentrecentillion','Trillioctotrecentillion','Trillinoventrecentillion','Trillidecitrecentillion','Trilliundecitrecentillion','Trilliduodecitrecentillion','Trillitredecitrecentillion','Trilliquattuordecitrecentillion','Trilliquindecitrecentillion','Trillisedecitrecentillion','Trilliseptendecitrecentillion','Trillioctodecitrecentillion','Trillinovendecitrecentillion','Trillivigintitrecentillion','Trilliunvigintitrecentillion','Trilliduovigintitrecentillion','Trillitresvigintitrecentillion','Trilliquattuorvigintitrecentillion','Trilliquinvigintitrecentillion','Trillisesvigintitrecentillion','Trilliseptemvigintitrecentillion','Trillioctovigintitrecentillion','Trillinovemvigintitrecentillion','Trillitrigintatrecentillion','Trilliuntrigintatrecentillion','Trilliduotrigintatrecentillion','Trillitrestrigintatrecentillion','Trilliquattuortrigintatrecentillion','Trilliquintrigintatrecentillion','Trillisestrigintatrecentillion','Trilliseptentrigintatrecentillion','Trillioctotrigintatrecentillion','Trillinoventrigintatrecentillion','Trilliquadragintatrecentillion','Trilliunquadragintatrecentillion','Trilliduoquadragintatrecentillion','Trillitresquadragintatrecentillion','Trilliquattuorquadragintatrecentillion','Trilliquinquadragintatrecentillion','Trillisesquadragintatrecentillion','Trilliseptenquadragintatrecentillion','Trillioctoquadragintatrecentillion','Trillinovenquadragintatrecentillion','Trilliquinquagintatrecentillion','Trilliunquinquagintatrecentillion','Trilliduoquinquagintatrecentillion','Trillitresquinquagintatrecentillion','Trilliquattuorquinquagintatrecentillion','Trilliquinquinquagintatrecentillion','Trillisesquinquagintatrecentillion','Trilliseptenquinquagintatrecentillion','Trillioctoquinquagintatrecentillion','Trillinovenquinquagintatrecentillion','Trillisexagintatrecentillion','Trilliunsexagintatrecentillion','Trilliduosexagintatrecentillion','Trillitresexagintatrecentillion','Trilliquattuorsexagintatrecentillion','Trilliquinsexagintatrecentillion','Trillisesexagintatrecentillion','Trilliseptensexagintatrecentillion','Trillioctosexagintatrecentillion','Trillinovensexagintatrecentillion','Trilliseptuagintatrecentillion','Trilliunseptuagintatrecentillion','Trilliduoseptuagintatrecentillion','Trillitreseptuagintatrecentillion','Trilliquattuorseptuagintatrecentillion','Trilliquinseptuagintatrecentillion','Trilliseseptuagintatrecentillion','Trilliseptenseptuagintatrecentillion','Trillioctoseptuagintatrecentillion','Trillinovenseptuagintatrecentillion','Trillioctogintatrecentillion','Trilliunoctogintatrecentillion','Trilliduooctogintatrecentillion','Trillitresoctogintatrecentillion','Trilliquattuoroctogintatrecentillion','Trilliquinoctogintatrecentillion','Trillisexoctogintatrecentillion','Trilliseptemoctogintatrecentillion','Trillioctooctogintatrecentillion','Trillinovemoctogintatrecentillion','Trillinonagintatrecentillion','Trilliunnonagintatrecentillion','Trilliduononagintatrecentillion','Trillitrenonagintatrecentillion','Trilliquattuornonagintatrecentillion','Trilliquinnonagintatrecentillion','Trillisenonagintatrecentillion','Trilliseptenonagintatrecentillion','Trillioctononagintatrecentillion','Trillinovenonagintatrecentillion','Trilliquadringentillion','Trilliunquadringentillion','Trilliduoquadringentillion','Trillitresquadringentillion','Trilliquattuorquadringentillion','Trilliquinquadringentillion','Trillisesquadringentillion','Trilliseptenquadringentillion','Trillioctoquadringentillion','Trillinovenquadringentillion','Trillideciquadringentillion','Trilliundeciquadringentillion','Trilliduodeciquadringentillion','Trillitredeciquadringentillion','Trilliquattuordeciquadringentillion','Trilliquindeciquadringentillion','Trillisedeciquadringentillion','Trilliseptendeciquadringentillion','Trillioctodeciquadringentillion','Trillinovendeciquadringentillion','Trillivigintiquadringentillion','Trilliunvigintiquadringentillion','Trilliduovigintiquadringentillion','Trillitresvigintiquadringentillion','Trilliquattuorvigintiquadringentillion','Trilliquinvigintiquadringentillion','Trillisesvigintiquadringentillion','Trilliseptemvigintiquadringentillion','Trillioctovigintiquadringentillion','Trillinovemvigintiquadringentillion','Trillitrigintaquadringentillion','Trilliuntrigintaquadringentillion','Trilliduotrigintaquadringentillion','Trillitrestrigintaquadringentillion','Trilliquattuortrigintaquadringentillion','Trilliquintrigintaquadringentillion','Trillisestrigintaquadringentillion','Trilliseptentrigintaquadringentillion','Trillioctotrigintaquadringentillion','Trillinoventrigintaquadringentillion','Trilliquadragintaquadringentillion','Trilliunquadragintaquadringentillion','Trilliduoquadragintaquadringentillion','Trillitresquadragintaquadringentillion','Trilliquattuorquadragintaquadringentillion','Trilliquinquadragintaquadringentillion','Trillisesquadragintaquadringentillion','Trilliseptenquadragintaquadringentillion','Trillioctoquadragintaquadringentillion','Trillinovenquadragintaquadringentillion','Trilliquinquagintaquadringentillion','Trilliunquinquagintaquadragintillion','Trilliduoquinquagintaquadragintillion','Trillitresquinquagintaquadragintillion','Trilliquattuorquinquagintaquadragintillion','Trilliquinquinquagintaquadragintillion','Trillisesquinquagintaquadragintillion','Trilliseptenquinquagintaquadragintillion','Trillioctoquinquagintaquadragintillion','Trillinovenquinquagintaquadragintillion','Trillisexagintaquadragintillion','Trilliunsexagintaquadragintillion','Trilliduosexagintaquadragintillion','Trillitresexagintaquadragintillion','Trilliquattuorsexagintaquadragintillion','Trilliquinsexagintaquadragintillion','Trillisesexagintaquadragintillion','Trilliseptensexagintaquadragintillion','Trillioctosexagintaquadragintillion','Trillinovensexagintaquadragintillion','Trilliseptuagintaquadragintillion','Trilliunseptuagintaquadragintillion','Trilliduoseptuagintaquadragintillion','Trillitreseptuagintaquadragintillion','Trilliquattuorseptuagintaquadragintillion','Trilliquinseptuagintaquadragintillion','Trilliseseptuagintaquadragintillion','Trilliseptenseptuagintaquadragintillion','Trillioctoseptuagintaquadragintillion','Trillinovenseptuagintaquadragintillion','Trillioctogintaquadringentillion','Trilliunoctogintaquadragintillion','Trilliduooctogintaquadragintillion','Trillitresoctogintaquadragintillion','Trilliquattuoroctogintaquadragintillion','Trilliquinoctogintaquadragintillion','Trillisexoctogintaquadragintillion','Trilliseptemoctogintaquadragintillion','Trillioctooctogintaquadragintillion','Trillinovemoctogintaquadragintillion','Trillinonagintaquadragintillion','Trilliunnonagintaquadragintillion','Trilliduononagintaquadragintillion','Trillitrenonagintaquadragintillion','Trilliquattuornonagintaquadragintillion','Trilliquinnonagintaquadragintillion','Trillisenonagintaquadragintillion','Trilliseptenonagintaquadragintillion','Trillioctononagintaquadragintillion','Trillinovenonagintaquadragintillion','Trilliquingentillion','Trilliunquingentillion','Trilliduoquingentillion','Trillitresquingentillion','Trilliquattuorquingentillion','Trilliquinquingentillion','Trillisesquingentillion','Trilliseptenquingentillion','Trillioctoquingentillion','Trillinovenquingentillion','Trillideciquingentillion','Trilliundeciquingentillion','Trilliduodeciquingentillion','Trillitredeciquingentillion','Trilliquattuordeciquingentillion','Trilliquindeciquingentillion','Trillisedeciquingentillion','Trilliseptendeciquingentillion','Trillioctodeciquingentillion','Trillinovendeciquingentillion','Trillivigintiquingentillion','Trilliunvigintiquingentillion','Trilliduovigintiquingentillion','Trillitresvigintiquingentillion','Trilliquattuorvigintiquingentillion','Trilliquinvigintiquingentillion','Trillisesvigintiquingentillion','Trilliseptemvigintiquingentillion','Trillioctovigintiquingentillion','Trillinovemvigintiquingentillion','Trillitrigintaquingentillion','Trilliuntrigintaquingentillion','Trilliduotrigintaquingentillion','Trillitrestrigintaquingentillion','Trilliquattuortrigintaquingentillion','Trilliquintrigintaquingentillion','Trillisestrigintaquingentillion','Trilliseptentrigintaquingentillion','Trillioctotrigintaquingentillion','Trillinoventrigintaquingentillion','Trilliquadragintaquingentillion','Trilliunquadragintaquingentillion','Trilliduoquadragintaquingentillion','Trillitresquadragintaquingentillion','Trilliquattuorquadragintaquingentillion','Trilliquinquadragintaquingentillion','Trillisesquadragintaquingentillion','Trilliseptenquadragintaquingentillion','Trillioctoquadragintaquingentillion','Trillinovenquadragintaquingentillion','Trilliquinquagintaquingentillion','Trilliunquinquagintaquingentillion','Trilliduoquinquagintaquingentillion','Trillitresquinquagintaquingentillion','Trilliquattuorquinquagintaquingentillion','Trilliquinquinquagintaquingentillion','Trillisesquinquagintaquingentillion','Trilliseptenquinquagintaquingentillion','Trillioctoquinquagintaquingentillion','Trillinovenquinquagintaquingentillion','Trillisexagintaquingentillion','Trilliunsexagintaquingentillion','Trilliduosexagintaquingentillion','Trillitresexagintaquingentillion','Trilliquattuorsexagintaquingentillion','Trilliquinsexagintaquingentillion','Trillisesexagintaquingentillion','Trilliseptensexagintaquingentillion','Trillioctosexagintaquingentillion','Trillinovensexagintaquingentillion','Trilliseptuagintaquingentillion','Trilliunseptuagintaquingentillion','Trilliduoseptuagintaquingentillion','Trillitreseptuagintaquingentillion','Trilliquattuorseptuagintaquingentillion','Trilliquinseptuagintaquingentillion','Trilliseseptuagintaquingentillion','Trilliseptenseptuagintaquingentillion','Trillioctoseptuagintaquingentillion','Trillinovenseptuagintaquingentillion','Trillioctogintaquingentillion','Trilliunoctogintaquingentillion','Trilliduooctogintaquingentillion','Trillitresoctogintaquingentillion','Trilliquattuoroctogintaquingentillion','Trilliquinoctogintaquingentillion','Trillisexoctogintaquingentillion','Trilliseptemoctogintaquingentillion','Trillioctooctogintaquingentillion','Trillinovemoctogintaquingentillion','Trillinonagintaquingentillion','Trilliunnonagintaquingentillion','Trilliduononagintaquingentillion','Trillitrenonagintaquingentillion','Trilliquattuornonagintaquingentillion','Trilliquinnonagintaquingentillion','Trillisenonagintaquingentillion','Trilliseptenonagintaquingentillion','Trillioctononagintaquingentillion','Trillinovenonagintaquingentillion','Trillisescentillion','Trilliunsescentillion','Trilliduosescentillion','Trillitresescentillion','Trilliquattuorsescentillion','Trilliquinsescentillion','Trillisesescentillion','Trilliseptensescentillion','Trillioctosescentillion','Trillinovensescentillion','Trillidecisescentillion','Trilliundecisescentillion','Trilliduodecisescentillion','Trillitredecisescentillion','Trilliquattuordecisescentillion','Trilliquindecisescentillion','Trillisedecisescentillion','Trilliseptendecisescentillion','Trillioctodecisescentillion','Trillinovendecisescentillion','Trillivigintisescentillion','Trilliunvigintisescentillion','Trilliduovigintisescentillion','Trillitresvigintisescentillion','Trilliquattuorvigintisescentillion','Trilliquinvigintisescentillion','Trillisesvigintisescentillion','Trilliseptemvigintisescentillion','Trillioctovigintisescentillion','Trillinovemvigintisescentillion','Trillitrigintasescentillion','Trilliuntrigintasescentillion','Trilliduotrigintasescentillion','Trillitrestrigintasescentillion','Trilliquattuortrigintasescentillion','Trilliquintrigintasescentillion','Trillisestrigintasescentillion','Trilliseptentrigintasescentillion','Trillioctotrigintasescentillion','Trillinoventrigintasescentillion','Trilliquadragintasescentillion','Trilliunquadragintasescentillion','Trilliduoquadragintasescentillion','Trillitresquadragintasescentillion','Trilliquattuorquadragintasescentillion','Trilliquinquadragintasescentillion','Trillisesquadragintasescentillion','Trilliseptenquadragintasescentillion','Trillioctoquadragintasescentillion','Trillinovenquadragintasescentillion','Trilliquinquagintasescentillion','Trilliunquinquagintasescentillion','Trilliduoquinquagintasescentillion','Trillitresquinquagintasescentillion','Trilliquattuorquinquagintasescentillion','Trilliquinquinquagintasescentillion','Trillisesquinquagintasescentillion','Trilliseptenquinquagintasescentillion','Trillioctoquinquagintasescentillion','Trillinovenquinquagintasescentillion','Trillisexagintasescentillion','Trilliunsexagintasescentillion','Trilliduosexagintasescentillion','Trillitresexagintasescentillion','Trilliquattuorsexagintasescentillion','Trilliquinsexagintasescentillion','Trillisesexagintasescentillion','Trilliseptensexagintasescentillion','Trillioctosexagintasescentillion','Trillinovensexagintasescentillion','Trilliseptuagintasescentillion','Trilliunseptuagintasescentillion','Trilliduoseptuagintasescentillion','Trillitreseptuagintasescentillion','Trilliquattuorseptuagintasescentillion','Trilliquinseptuagintasescentillion','Trilliseseptuagintasescentillion','Trilliseptenseptuagintasescentillion','Trillioctoseptuagintasescentillion','Trillinovenseptuagintasescentillion','Trillioctogintasescentillion','Trilliunoctogintasescentillion','Trilliduooctogintasescentillion','Trillitresoctogintasescentillion','Trilliquattuoroctogintasescentillion','Trilliquinoctogintasescentillion','Trillisexoctogintasescentillion','Trilliseptemoctogintasescentillion','Trillioctooctogintasescentillion','Trillinovemoctogintasescentillion','Trillinonagintasescentillion','Trilliunnonagintasescentillion','Trilliduononagintasescentillion','Trillitrenonagintasescentillion','Trilliquattuornonagintasescentillion','Trilliquinnonagintasescentillion','Trillisenonagintasescentillion','Trilliseptenonagintasescentillion','Trillioctononagintasescentillion','Trillinovenonagintasescentillion','Trilliseptingentillion','Trilliunseptingentillion','Trilliduoseptingentillion','Trillitreseptingentillion','Trilliquattuorseptingentillion','Trilliquinseptingentillion','Trilliseseptingentillion','Trilliseptenseptingentillion','Trillioctoseptingentillion','Trillinovenseptingentillion','Trillideciseptingentillion','Trilliundeciseptingentillion','Trilliduodeciseptingentillion','Trillitredeciseptingentillion','Trilliquattuordeciseptingentillion','Trilliquindeciseptingentillion','Trillisedeciseptingentillion','Trilliseptendeciseptingentillion','Trillioctodeciseptingentillion','Trillinovendeciseptingentillion','Trillivigintiseptingentillion','Trilliunvigintiseptingentillion','Trilliduovigintiseptingentillion','Trillitresvigintiseptingentillion','Trilliquattuorvigintiseptingentillion','Trilliquinvigintiseptingentillion','Trillisesvigintiseptingentillion','Trilliseptemvigintiseptingentillion','Trillioctovigintiseptingentillion','Trillinovemvigintiseptingentillion','Trillitrigintaseptingentillion','Trilliuntrigintaseptingentillion','Trilliduotrigintaseptingentillion','Trillitrestrigintaseptingentillion','Trilliquattuortrigintaseptingentillion','Trilliquintrigintaseptingentillion','Trillisestrigintaseptingentillion','Trilliseptentrigintaseptingentillion','Trillioctotrigintaseptingentillion','Trillinoventrigintaseptingentillion','Trilliquadragintaseptingentillion','Trilliunquadragintaseptingentillion','Trilliduoquadragintaseptingentillion','Trillitresquadragintaseptingentillion','Trilliquattuorquadragintaseptingentillion','Trilliquinquadragintaseptingentillion','Trillisesquadragintaseptingentillion','Trilliseptenquadragintaseptingentillion','Trillioctoquadragintaseptingentillion','Trillinovenquadragintaseptingentillion','Trilliquinquagintaseptingentillion','Trilliunquinquagintaseptingentillion','Trilliduoquinquagintaseptingentillion','Trillitresquinquagintaseptingentillion','Trilliquattuorquinquagintaseptingentillion','Trilliquinquinquagintaseptingentillion','Trillisesquinquagintaseptingentillion','Trilliseptenquinquagintaseptingentillion','Trillioctoquinquagintaseptingentillion','Trillinovenquinquagintaseptingentillion','Trillisexagintaseptingentillion','Trilliunsexagintaseptingentillion','Trilliduosexagintaseptingentillion','Trillitresexagintaseptingentillion','Trilliquattuorsexagintaseptingentillion','Trilliquinsexagintaseptingentillion','Trillisesexagintaseptingentillion','Trilliseptensexagintaseptingentillion','Trillioctosexagintaseptingentillion','Trillinovensexagintaseptingentillion','Trilliseptuagintaseptingentillion','Trilliunseptuagintaseptingentillion','Trilliduoseptuagintaseptingentillion','Trillitreseptuagintaseptingentillion','Trilliquattuorseptuagintaseptingentillion','Trilliquinseptuagintaseptingentillion','Trilliseseptuagintaseptingentillion','Trilliseptenseptuagintaseptingentillion','Trillioctoseptuagintaseptingentillion','Trillinovenseptuagintaseptingentillion','Trillioctogintaseptingentillion','Trilliunoctogintaseptingentillion','Trilliduooctogintaseptingentillion','Trillitresoctogintaseptingentillion','Trilliquattuoroctogintaseptingentillion','Trilliquinoctogintaseptingentillion','Trillisexoctogintaseptingentillion','Trilliseptemoctogintaseptingentillion','Trillioctooctogintaseptingentillion','Trillinovemoctogintaseptingentillion','Trillinonagintaseptingentillion','Trilliunnonagintaseptingentillion','Trilliduononagintaseptingentillion','Trillitrenonagintaseptingentillion','Trilliquattuornonagintaseptingentillion','Trilliquinnonagintaseptingentillion','Trillisenonagintaseptingentillion','Trilliseptenonagintaseptingentillion','Trillioctononagintaseptingentillion','Trillinovenonagintaseptingentillion','Trillioctingentillion','Trilliunoctingentillion','Trilliduooctingentillion','Trillitresoctingentillion','Trilliquattuoroctingentillion','Trilliquinoctingentillion','Trillisexoctingentillion','Trilliseptemoctingentillion','Trillioctooctingentillion','Trillinovemoctingentillion','Trillidecioctingentillion','Trilliundecioctingentillion','Trilliduodecioctingentillion','Trillitredecioctingentillion','Trilliquattuordecioctingentillion','Trilliquindecioctingentillion','Trillisedecioctingentillion','Trilliseptendecioctingentillion','Trillioctodecioctingentillion','Trillinovendecioctingentillion','Trillivigintioctingentillion','Trilliunvigintioctingentillion','Trilliduovigintioctingentillion','Trillitresvigintioctingentillion','Trilliquattuorvigintioctingentillion','Trilliquinvigintioctingentillion','Trillisesvigintioctingentillion','Trilliseptemvigintioctingentillion','Trillioctovigintioctingentillion','Trillinovemvigintioctingentillion','Trillitrigintaoctingentillion','Trilliuntrigintaoctingentillion','Trilliduotrigintaoctingentillion','Trillitrestrigintaoctingentillion','Trilliquattuortrigintaoctingentillion','Trilliquintrigintaoctingentillion','Trillisestrigintaoctingentillion','Trilliseptentrigintaoctingentillion','Trillioctotrigintaoctingentillion','Trillinoventrigintaoctingentillion','Trilliquadragintaoctingentillion','Trilliunquadragintaoctingentillion','Trilliduoquadragintaoctingentillion','Trillitresquadragintaoctingentillion','Trilliquattuorquadragintaoctingentillion','Trilliquinquadragintaoctingentillion','Trillisesquadragintaoctingentillion','Trilliseptenquadragintaoctingentillion','Trillioctoquadragintaoctingentillion','Trillinovenquadragintaoctingentillion','Trilliquinquagintaoctingentillion','Trilliunquinquagintaoctingentillion','Trilliduoquinquagintaoctingentillion','Trillitresquinquagintaoctingentillion','Trilliquattuorquinquagintaoctingentillion','Trilliquinquinquagintaoctingentillion','Trillisesquinquagintaoctingentillion','Trilliseptenquinquagintaoctingentillion','Trillioctoquinquagintaoctingentillion','Trillinovenquinquagintaoctingentillion','Trillisexagintaoctingentillion','Trilliunsexagintaoctingentillion','Trilliduosexagintaoctingentillion','Trillitresexagintaoctingentillion','Trilliquattuorsexagintaoctingentillion','Trilliquinsexagintaoctingentillion','Trillisesexagintaoctingentillion','Trilliseptensexagintaoctingentillion','Trillioctosexagintaoctingentillion','Trillinovensexagintaoctingentillion','Trilliseptuagintaoctingentillion','Trilliunseptuagintaoctingentillion','Trilliduoseptuagintaoctingentillion','Trillitreseptuagintaoctingentillion','Trilliquattuorseptuagintaoctingentillion','Trilliquinseptuagintaoctingentillion','Trilliseseptuagintaoctingentillion','Trilliseptenseptuagintaoctingentillion','Trillioctoseptuagintaoctingentillion','Trillinovenseptuagintaoctingentillion','Trillioctogintaoctingentillion','Trilliunoctogintaoctingentillion','Trilliduooctogintaoctingentillion','Trillitresoctogintaoctingentillion','Trilliquattuoroctogintaoctingentillion','Trilliquinoctogintaoctingentillion','Trillisexoctogintaoctingentillion','Trilliseptemoctogintaoctingentillion','Trillioctooctogintaoctingentillion','Trillinovemoctogintaoctingentillion','Trillinonagintaoctingentillion','Trilliunnonagintaoctingentillion','Trilliduononagintaoctingentillion','Trillitrenonagintaoctingentillion','Trilliquattuornonagintaoctingentillion','Trilliquinnonagintaoctingentillion','Trillisenonagintaoctingentillion','Trilliseptenonagintaoctingentillion','Trillioctononagintaoctingentillion','Trillinovenonagintaoctingentillion','Trillinongentillion','Trilliunnongentillion','Trilliduonongentillion','Trillitrenongentillion','Trilliquattuornongentillion','Trilliquinnongentillion','Trillisenongentillion','Trilliseptenongentillion','Trillioctonongentillion','Trillinovenongentillion','Trillidecinongentillion','Trilliundecinongentillion','Trilliduodecinongentillion','Trillitredecinongentillion','Trilliquattuordecinongentillion','Trilliquindecinongentillion','Trillisedecinongentillion','Trilliseptendecinongentillion','Trillioctodecinongentillion','Trillinovendecinongentillion','Trillivigintinongentillion','Trilliunvigintinongentillion','Trilliduovigintinongentillion','Trillitresvigintinongentillion','Trilliquattuorvigintinongentillion','Trilliquinvigintinongentillion','Trillisesvigintinongentillion','Trilliseptemvigintinongentillion','Trillioctovigintinongentillion','Trillinovemvigintinongentillion','Trillitrigintanongentillion','Trilliuntrigintanongentillion','Trilliduotrigintanongentillion','Trillitrestrigintanongentillion','Trilliquattuortrigintanongentillion','Trilliquintrigintanongentillion','Trillisestrigintanongentillion','Trilliseptentrigintanongentillion','Trillioctotrigintanongentillion','Trillinoventrigintanongentillion','Trilliquadragintanongentillion','Trilliunquadragintanongentillion','Trilliduoquadragintanongentillion','Trillitresquadragintanongentillion','Trilliquattuorquadragintanongentillion','Trilliquinquadragintanongentillion','Trillisesquadragintanongentillion','Trilliseptenquadragintanongentillion','Trillioctoquadragintanongentillion','Trillinovenquadragintanongentillion','Trilliquinquagintanongentillion','Trilliunquinquagintanongentillion','Trilliduoquinquagintanongentillion','Trillitresquinquagintanongentillion','Trilliquattuorquinquagintanongentillion','Trilliquinquinquagintanongentillion','Trillisesquinquagintanongentillion','Trilliseptenquinquagintanongentillion','Trillioctoquinquagintanongentillion','Trillinovenquinquagintanongentillion','Trillisexagintanongentillion','Trilliunsexagintanongentillion','Trilliduosexagintanongentillion','Trillitresexagintanongentillion','Trilliquattuorsexagintanongentillion','Trilliquinsexagintanongentillion','Trillisesexagintanongentillion','Trilliseptensexagintanongentillion','Trillioctosexagintanongentillion','Trillinovensexagintanongentillion','Trilliseptuagintanongentillion','Trilliunseptuagintanongentillion','Trilliduoseptuagintanongentillion','Trillitreseptuagintanongentillion','Trilliquattuorseptuagintanongentillion','Trilliquinseptuagintanongentillion','Trilliseseptuagintanongentillion','Trilliseptenseptuagintanongentillion','Trillioctoseptuagintanongentillion','Trillinovenseptuagintanongentillion','Trillioctogintanongentillion','Trilliunoctogintanongentillion','Trilliduooctogintanongentillion','Trillitresoctogintanongentillion','Trilliquattuoroctogintanongentillion','Trilliquinoctogintanongentillion','Trillisexoctogintanongentillion','Trilliseptemoctogintanongentillion','Trillioctooctogintanongentillion','Trillinovemoctogintanongentillion','Trillinonagintanongentillion','Trilliunnonagintanongentillion','Trilliduononagintanongentillion','Trillitrenonagintanongentillion','Trilliquattuornonagintanongentillion','Trilliquinnonagintanongentillion','Trillisenonagintanongentillion','Trilliseptenonagintanongentillion','Trillioctononagintanongentillion','Trillinovenonagintanongentillion'}
40,396
imezx/InfiniteMath
imezx-InfiniteMath-f44c4db/src/InfiniteMath/Values/Suffixes.luau
return 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14,331
imezx/InfiniteMath
imezx-InfiniteMath-f44c4db/src/InfiniteMath/init.luau
--!native -- forked by @EternityDev -- originally created by @KdudeDev --[=[ @class InfiniteMath InfiniteMath is module that allows you to surpass the limit of -10^308 to 10^308, with a new limit of -10^^308 to 10^^308 (1 with 10^308 zeros) InfiniteMath has many of the functions from the math library, as well as metamethods for arithmatic and comparison. Datastores and OrderedDataStores are supported, with special functions for OrderedDataStores. ]=] --[=[ An InfiniteMath constructed number that has a limit of -10^^308 to 10^^308. @class Number ]=] --[=[ @prop DECIMALPOINTS number @within InfiniteMath How many decimal points are displayed. 1 = 1.0, 2 = 1.00, 3 = 1.000, etc. ]=] --[=[ @prop AALENGTHMAX number @within InfiniteMath The maximum length for suffixes generated for aaNotation conversions. Exceeding this length results in a scientific number instead. ]=] local InfiniteMath = { DECIMALPOINTS = 2, AALENGTHMAX = 3, } local Number = {} Number.__index = Number export type Number = typeof(setmetatable({ first = 0 :: number, second = 0 :: number }, Number)) --[[ Private variables ]]-- local THRESHOLD = 16 local LEADERBOARDPRECISION, LEADERBOARDPOINT = 10000, 5 local NaN = 0/0 local POW10 = table.create(617) local SMALL_POW10 = table.create(2*THRESHOLD + 1) -- pre-compute powers with offset for i = -308, 308 do POW10[i + 309] = 10 ^ i end for d = -THRESHOLD, THRESHOLD do SMALL_POW10[d + THRESHOLD + 1] = 10 ^ d end local suffixes = require("@self/Values/Suffixes") local full_names = require("@self/Values/FullNames") local int = require("@self/Int") --[[ Private functions ]]-- local function fastNew(first: number, second: number): Number return setmetatable({ first = first, second = second }, Number) end local function pow10(e: number): number -- e must be integer here return POW10[e + 309] or (10 ^ e) end local function smallPow10(e: number): number -- e must be integer here return SMALL_POW10[e + THRESHOLD + 1] or (10 ^ e) end local function isInt(x: number): boolean return x % 1 == 0 end local function normalize(first: number, second: number): (number, number) if first == 0 then return 0, 0 end local sign = if first < 0 then -1 else 1 local m = math.abs(first) -- m is always a finite double here. cuz log10(m) is in [-308..308] local k = math.floor(math.log10(m)) if k ~= 0 then m /= pow10(k) second += k end if m >= 10 then m /= 10 second += 1 elseif m < 1 then m *= 10 second -= 1 end return m * sign, second end local function normalize2(first: number, second: number): (number, number) if first == 0 then return 0, 0 end local sign = if first < 0 then -1 else 1 local m = math.abs(first) if m >= 10 then m /= 10 second += 1 if m >= 10 then m /= 10 second += 1 end elseif m < 1 then m *= 10 second -= 1 if m < 1 then m *= 10 second -= 1 end end if m >= 10 or m < 1 then return normalize(sign * m, second) end return sign * m, second end local function convert(number: number): (number, number) if type(number) ~= "number" then error('Type is not a "number".') end if number ~= number then error("NaN is not supported.") end if number == math.huge or number == -math.huge then error('INF is not supported as a number input. Use "1,1000" or "1e+1000".') end if number == 0 then return 0, 0 end local sign = if number < 0 then -1 else 1 number = math.abs(number) -- exponent guess local e = math.floor(math.log10(number)) -- scale into ~[1,10) local m = number / (10 ^ e) if m >= 10 then m /= 10 e += 1 elseif m < 1 then m *= 10 e -= 1 end return m * sign, e end local function coerce(x: any): Number if type(x) == "table" and getmetatable(x) == Number then return x elseif type(x) == "number" then local f, e = convert(x) return fastNew(f, e) elseif type(x) == "string" then return InfiniteMath.new(x) end local f = x.first or x[1] local e = x.second or x[2] f, e = normalize(f, e) return fastNew(f, e) end local function isNumberObject(x: any): boolean return type(x) == "table" and getmetatable(x) == Number end local function isFieldNaN(v: any): boolean return v == "nan" or (type(v) == "number" and v ~= v) end local function isFieldInf(v: any): boolean return v == "inf" or v == "-inf" or (type(v) == "number" and (v == math.huge or v == -math.huge)) end local function checkNumber(a): Number if type(a) == "table" and getmetatable(a) == Number then return a end return coerce(a) end local function cmp(a: Number, b: Number): number local f1, e1 = a.first, a.second local f2, e2 = b.first, b.second local s1, s2 = math.sign(f1), math.sign(f2) if s1 ~= s2 then return (s1 < s2) and -1 or 1 end if s1 == 0 then return 0 end -- magnitude if e1 ~= e2 then if s1 > 0 then return (e1 < e2) and -1 or 1 end return (e1 > e2) and -1 or 1 -- inverted for negatives end if f1 ~= f2 then return (f1 < f2) and -1 or 1 end return 0 end local function parseExpString(s: string): (number?, number?) local m, e = string.match(s, "^%s*([+-]?%d*%.?%d+)%s*,%s*([+-]?%d+)%s*$") if not m then m, e = string.match(s, "^%s*([+-]?%d*%.?%d+)%s*[eE]%s*([+-]?%d+)%s*$") end if not m then return nil end return tonumber(m), tonumber(e) end -- math metamethods: function Number.__add(a, b) a, b = coerce(a), coerce(b) local first1, second1 = a.first, a.second local first2, second2 = b.first, b.second local difference = second1 - second2 if math.abs(difference) > THRESHOLD then -- Check if difference in exponents is greater than threshold if math.max(second1, second2) == second1 then return fastNew(first1, second1) end return fastNew(first2, second2) end first2 *= smallPow10(-difference) first1, second1 = normalize(first1 + first2, second1) return fastNew(first1 , second1) end function Number.__sub(a, b) a, b = coerce(a), coerce(b) local first1, second1 = a.first, a.second local first2, second2 = b.first, b.second local difference = second1 - second2 if math.abs(difference) > THRESHOLD then -- Check if difference in exponents is greater than threshold if math.max(second1, second2) == second1 then return fastNew(first1 ,second1) end return fastNew(first2, second2) end first2 *= smallPow10(-difference) first1, second1 = normalize(first1 - first2, second1) return fastNew(first1 , second1) end function Number.__mul(a, b) a = coerce(a); b = coerce(b) local rf, re = normalize2(a.first * b.first, a.second + b.second) return fastNew(rf, re) end function Number.__div(a, b) a = coerce(a); b = coerce(b) local rf, re = normalize2(a.first / b.first, a.second - b.second) return fastNew(rf, re) end function Number.__pow(a, power) a = coerce(a) if type(power) == "string" then power = tonumber(power) elseif type(power) == "table" and getmetatable(power) == Number then power = power:Reverse() end if power == math.huge or power ~= power or type(power) ~= "number" then error(`'{power}' is not a valid power. If power is 'inf' you must keep it below 10^308.`) return end if power == 0 then return fastNew(1, 0) end local f = a.first local e = a.second if f == 0 then if power < 0 then error("0 cannot be raised to a negative power") end return fastNew(0, 0) end local sign = 1 if f < 0 then if not isInt(power) then return fastNew(NaN, NaN) end if (power % 2) ~= 0 then sign = -1 end f = -f end -- log10(|a|) = log10(f) + e local y = power * (math.log10(f) + e) if y ~= y then return fastNew(NaN, NaN) end if y == math.huge or y == -math.huge then error("result exponent overflow") end local newE = math.floor(y) local newF = 10 ^ (y - newE) -- in [1,10) if newF >= 10 then newF /= 10 newE += 1 end return fastNew(newF * sign, newE) end function Number.__mod(a, b) a, b = coerce(a), coerce(b) local sign = InfiniteMath.sign(a) local divided if sign == 1 then divided = InfiniteMath.floor(a / b) else divided = InfiniteMath.round(a / b) end local nextNum = b * divided return a - nextNum end function Number.__eq(a, b) a, b = coerce(a), coerce(b) local c = cmp(a, b) return (c == c) and (c == 0) end function Number.__lt(a, b) a, b = coerce(a), coerce(b) local c = cmp(a, b) if c ~= c then return false end return c < 0 end function Number.__le(a, b) a, b = coerce(a), coerce(b) local c = cmp(a, b) if c ~= c then return false end return c <= 0 end function Number.__unm(a) a = coerce(a) return fastNew(-a.first, a.second) -- much faster than a * -1 end function Number.__tostring(self) return self:GetSuffix(true) end function Number.__concat(self, value) return `{self}{value}` end --[[ Class methods ]]-- --[=[ @within InfiniteMath Returns a new InfiniteMath constructed number You can use numbers `1`, correctly formatted strings `"1,0"`, tables `{1, 0}`, and other constructed numbers `InfiniteMath.new(1)`. ```lua print(InfiniteMath.new(1)) -- 1 ``` To create a number above 1e+308, we can use strings or tables. ```lua print(InfiniteMath.new("1,1000")) -- 10DTL print(InfiniteMath.new({1, 1000})) -- 10DTL ``` @param val number | string | table | Number @return Number ]=] function InfiniteMath.new(val : number | string | {} | Number) : Number local first, second if type(val) == "table" then if val.first ~= nil and val.second ~= nil then if getmetatable(val) ~= Number then return setmetatable(val, Number) end return val end first = val[1] second = val[2] elseif type(val) == "string" then local mantStr, expStr = parseExpString(val) if mantStr and expStr then first, second = normalize(mantStr, expStr) else local n = tonumber(val) if n == nil then error('string is not a valid number format. Use "1,0" or "1e+3" etc.') end if n == math.huge or n == -math.huge then error('String overflows to INF. Use explicit exponent like "1e+1000" (supported) or "1,1000".') end first, second = convert(n) end elseif type(val) == 'number' then if val ~= val then error("NaN is not allowed.") end if val == math.huge or val == -math.huge then error('INF number is not allowed. Please use "string" or "table" instead of "number" to go above INF (e.g. "1,1000" or "1e+1000").') end first, second = convert(val) else error(`'{type(val)}' is not a valid type. Please only use "number", "string", "table", or constructed numbers.`) return end return setmetatable({ first = first, second = second }, Number) end --[=[ @within Number Sets the value of the constructed number without creating a new Number metatable. If you want to set the value of a constructed number it is better to use this than setting it to a new `.new()`. `SetValue` takes a new `first` and `second` to set the value to, if you want to set the value to `100` you must pass `1, 3`. ```lua local Number = InfiniteMath.new(1000) print(Number) -- 1000 Number:SetValue(5, 4) print(Number) -- 5000 ``` @method SetValue @param newFirst number @param newSecond number ]=] function Number:SetValue(newFirst: number, newSecond: number) if type(newFirst) ~= "number" or type(newSecond) ~= "number" then error('Both parameters of SetValue must be "number"') end newFirst, newSecond = normalize(newFirst, newSecond) self.first = newFirst self.second = newSecond end --[=[ @within Number Attempts to return the constructed number converted into a regular number. If the constructed number is above 1e+308 it will instead return INF. ```lua print(InfiniteMath.new("1, 3"):Reverse()) -- 1000 ``` @method Reverse @return number ]=] function Number:Reverse(): number local first, second = normalize(self.first, self.second) return first * 10^second end --[=[ @within Number Returns a string with the number and a suffix at the end, these suffixes will go up to 1e+12000. After, it will default to returning scientific notation. By default, it will return an abbreviated suffix (1K). Using true will use the default behavior. Using false will return the full suffix (1 Thousand). ```lua print(InfiniteMath.new(1000):GetSuffix()) -- 1K print(InfiniteMath.new(1000):GetSuffix(true)) -- 1K print(InfiniteMath.new(1000):GetSuffix(false)) -- 1 Thousand ``` @method GetSuffix @param abbreviation boolean | nil @return string ]=] function Number:GetSuffix(abbreviation: boolean?): string if type(abbreviation) ~= "boolean" then abbreviation = true end local first, second = normalize(self.first, self.second) if second < 3 then local result = `{self:Reverse()}` local Length = 2 if math.sign(first) == -1 then Length = 3 end if math.abs(first) >= 1 then if InfiniteMath.DECIMALPOINTS > 0 then result = result:sub(1, second + Length + InfiniteMath.DECIMALPOINTS) local decimal = string.split(result, ".")[2] if decimal == nil then return result end if tonumber(decimal) == 0 then result = string.split(result, ".")[1] elseif decimal == string.rep(9 :: any, InfiniteMath.DECIMALPOINTS) then result = tonumber(string.split(result, ".")[1]) + 1 end else result = string.split(result, ".")[1] end else if math.abs(first) <= .01 then return "0" end result = result:sub(1, second + Length + InfiniteMath.DECIMALPOINTS) local decimal = result:split(".")[2] if decimal == string.rep(9 :: any, InfiniteMath.DECIMALPOINTS) then result = tonumber(string.split(result, ".")[1]) + 1 end end return result end local secondRemainder = second % 3 first *= smallPow10(secondRemainder) local suffixIndex = math.floor(second/3) local dp = InfiniteMath.DECIMALPOINTS local scale = pow10(dp) local str = math.floor(first * scale) / scale -- The * 10 / 10 controls decimal precision, more zeros = more decimals local suffix = if abbreviation then suffixes[suffixIndex] else full_names[suffixIndex] if not abbreviation and suffix ~= nil then suffix = " " .. suffix end if suffixIndex > 0 then if suffix ~= nil then str ..= suffix else str = self:ScientificNotation(abbreviation) end end return str end --[=[ @within Number Returns a string with the number formatted in scientific notation. ```lua print(InfiniteMath.new(1000):ScientificNotation()) -- 1e+3 ``` When a number reaches `1e+1000000` you can choose an abbreviation mode for the amount of zeros in the scientific notation. By default, it will use GetSuffix on the exponent `1e+1M`, but you can also choose to have it use scientific notation `1e+1e+6`. ```lua print(InfiniteMath.new("1, 1e+6"):ScientificNotation()) -- 1e+1M print(InfiniteMath.new("1, 1e+6"):ScientificNotation(true)) -- 1e+1M print(InfiniteMath.new("1, 1e+6"):ScientificNotation(false)) -- 1e+1e+6 ``` You can also use nil and false to stop the functionality and instead just display `1e+1000000`. ```lua print(InfiniteMath.new("1, 1e+6"):ScientificNotation(nil, false)) -- 1e+1000000 ``` @method ScientificNotation @param abbreviation boolean | nil @param secondAbbreviation boolean | nil @return string ]=] function Number:ScientificNotation(abbreviation: boolean?, secondAbbreviation: boolean?): string local first, second = normalize(self.first, self.second) local dp = InfiniteMath.DECIMALPOINTS local scale = pow10(dp) local str = math.floor(first * scale) / scale -- The * 10 / 10 controls decimal precision, more zeros = more decimals if secondAbbreviation == false then second = tostring(second) elseif second > 1e+6 then second = fastNew(second, 0) if abbreviation ~= false then second = second:GetSuffix(true) else second = second:ScientificNotation(nil, false) end end return `{str}e+{second}` end --[=[ @within Number Returns a string with the number formatted in logarithmic notation. ```lua print(InfiniteMath.new(1000):ScientificNotation()) -- e3.0 ``` @method LogarithmNotation @return string ]=] function Number:LogarithmNotation(): string local first, second = normalize(self.first, self.second) first, second = `{first}`, `{second}` local suffixIndex = math.floor(second/3) if suffixIndex == 0 then local secondRemainder = second % 3 first *= 10^secondRemainder return math.floor(first * 10^InfiniteMath.DECIMALPOINTS)/10^InfiniteMath.DECIMALPOINTS end local log = `{math.log10(first :: any)}` if string.match(log, "%.") then log = string.split(log, ".") log = string.sub(log[2], 1, 3) end return `e{second}.{log}` end local Alphabet = {"a", "b", "c", "d", "e", "f", "g", "h", "i", "j", "k", "l", "m", "n", "o", "p", "q", "r", "s", "t", "u", "v", "w", "x", "y", "z"} --[=[ @within Number Returns a string with the number formatted in double letter notation. Use the AALENGTHMAX property to adjust the max letters possible. ```lua print(InfiniteMath.new(1e+15):aaNotation()) -- 1a ``` @method aaNotation @return string ]=] function Number:aaNotation(): string local first, second = normalize(self.first, self.second) local secondRemainder = second % 3 first *= smallPow10(secondRemainder) local suffixIndex = math.floor(second / 3) - 4 if suffixIndex <= 0 then return self:GetSuffix() end local suffix = "" while suffixIndex > 0 do local remainder = suffixIndex % #Alphabet remainder = if remainder == 0 then #Alphabet else remainder suffix = `{Alphabet[remainder]}{suffix}` suffixIndex = math.floor((suffixIndex - remainder) / #Alphabet) end if #suffix > InfiniteMath.AALENGTHMAX then return self:ScientificNotation() end local dp = InfiniteMath.DECIMALPOINTS local scale = pow10(dp) local str = math.floor(first * scale) / scale return `{str}{suffix}` end --[=[ @within Number Returns a number that you can use for OrderedDataStores in order to create global leaderboards that support InfiniteMath constructed numbers. ```lua print(InfiniteMath.new(1000):ConvertForLeaderboards()) -- 31000 ``` @method ConvertForLeaderboards @return number ]=] function Number:ConvertForLeaderboards(): number local first, second = normalize(self.first, self.second) first, second = `{first}`, `{second}` first = string.gsub(first, "%.", "") return math.floor(tonumber(`{second}.{first:sub(1, LEADERBOARDPOINT)}`) * LEADERBOARDPRECISION) end --[=[ @within InfiniteMath Returns a constructed number, and should be given a number created by `Number:ConvertForLeaderboards`. This is what you will display on global leaderboards using OrderedDataStores. ```lua local ValueFromStore = InfiniteMath.new(1000):ConvertForLeaderboards() print(InfiniteMath:ConvertFromLeaderboards(ValueFromStore)) -- 1K ``` @method ConvertFromLeaderboards @param GivenNumber number @return Number ]=] function InfiniteMath:ConvertFromLeaderboards(GivenNumber: number): Number --return 0 local num = GivenNumber if num == 0 then return fastNew(0, 0) end num /= LEADERBOARDPRECISION num = `{num}` local numbers = string.split('.') local second, first = numbers[1], numbers[2] first, second = `{first}`, `{second}` local firstFirst = string.sub(first, 1, 1) local firstSecond = string.sub(first, 2) first = `{firstFirst}.{firstSecond}` return fastNew(tonumber(first), tonumber(second)) end --[[ Math methods ]]-- --[=[ @within InfiniteMath Rounds a number down to the nearest integer @param Num number | string | table | Number @return Number ]=] function InfiniteMath.floor(Num): Number Num = checkNumber(Num) local _first, second = normalize(Num.first, Num.second) if second >= 300 then return Num end -- Rounding after 1e+300 would be pointless, so don't do it. return InfiniteMath.new(math.floor(Num:Reverse())) end --[=[ @within InfiniteMath Rounds a number to the nearest integer @param Num number | string | table | Number @return Number ]=] function InfiniteMath.round(Num): Number Num = checkNumber(Num) local _, second = normalize(Num.first, Num.second) if second >= 300 then return Num end -- Rounding after 1e+300 would be pointless, so don't do it. local r = Num:Reverse() -- finite here due to second < 300 local rounded = if r >= 0 then math.floor(r + 0.5) else math.ceil(r - 0.5) return fastNew(rounded, 0) end --[=[ @within InfiniteMath Rounds a number up to the nearest integer @param Num number | string | table | Number @return Number ]=] function InfiniteMath.ceil(Num): Number Num = checkNumber(Num) local _first, second = normalize(Num.first, Num.second) if second >= 300 then return Num end -- Rounding after 1e+300 would be pointless, so don't do it. return fastNew(math.ceil(Num:Reverse()), 0) end --[=[ @within InfiniteMath Returns the absolute value (distance from 0) @param Num number | string | table | Number @return Number ]=] function InfiniteMath.abs(Num): Number Num = checkNumber(Num) local first, second = normalize(Num.first, Num.second) return fastNew(math.abs(first), second) end --[=[ @within InfiniteMath Clamps a number between a minimum and maximum value @param Num number | string | table | Number @param Min number | string | table | Number @param Max number | string | table | Number @return Number ]=] function InfiniteMath.clamp<T, A, B>(Num: T, Min: A, Max: B): T Num = checkNumber(Num) local first, second = normalize(Num.first, Num.second) Num = fastNew(first, second) if Min ~= nil then Min = checkNumber(Min) local firstMin, secondMin = normalize(Min.first, Min.second) Min = fastNew(firstMin, secondMin) else Min = fastNew(0, 0) end if Max ~= nil then Max = checkNumber(Max) local firstMax, secondMax = normalize(Max.first, Max.second) Max = fastNew(firstMax, secondMax) else Max = fastNew(1, 1e+308) end Num = if Num < Min then Min elseif Num > Max then Max else Num return Num end --[=[ @within InfiniteMath Returns the smallest number among the given arguments @param ... number | string | table | Number @return Number ]=] function InfiniteMath.min(...): Number local Numbers = {...} if Numbers[1] == nil then error("InfiniteMath.min requires at least 1 argument.") end for Index, Num in Numbers do Numbers[Index] = checkNumber(Num) end local Min = Numbers[1] for _, Num in Numbers do if Num < Min then Min = Num end end return Min end --[=[ @within InfiniteMath Returns the largest number among the given arguments @param ... number | string | table | Number @return Number ]=] function InfiniteMath.max(...): Number local Numbers = {...} if Numbers[1] == nil then error("InfiniteMath.max requires at least 1 argument.") end for Index, Num in Numbers do Numbers[Index] = checkNumber(Num) end local Max = Numbers[1] for _, Num in Numbers do if Num > Max then Max = Num end end return Max end --[=[ @within InfiniteMath Returns the sign of the number. Negative numbers return -1, positive numbers return 1, 0 returns 0. @param Num number | string | table | Number @return number ]=] function InfiniteMath.sign(Num): number Num = checkNumber(Num) local first = normalize(Num.first, Num.second) first = tonumber(first) return if first > 0 then 1 elseif first < 0 then -1 else 0 end --[=[ @within InfiniteMath Returns the square root of a number @param Num number | string | table | Number @return Number ]=] function InfiniteMath.sqrt(Num): Number return Num^.5 end --[=[ @within InfiniteMath Returns the remainder of the division of a by b that rounds the quotient towards zero. @param a number | string | table | Number @param b number | string | table | Number @return Number ]=] function InfiniteMath.fmod(a, b): Number a, b = checkNumber(a), checkNumber(b) local q = a / b local qi = (InfiniteMath.sign(q) >= 0) and InfiniteMath.floor(q) or InfiniteMath.ceil(q) return a - b * qi end --[=[ @within InfiniteMath Returns both the integral part of n and the fractional part (if there is one). @param Num number | string | table | Number @return Number ]=] function InfiniteMath.modf(Num): (Number, number?) Num = checkNumber(Num) local sign = InfiniteMath.sign(Num) Num *= sign local first, second = normalize(Num.first, Num.second) local firstSplit = tostring(first):split(".") if firstSplit[2] ~= nil then first = string.sub(firstSplit[2], 1, second) first = firstSplit[1].."."..first local power = if second == 0 then 2 else second local decimal if second > 0 then local a = string.sub(firstSplit[2], power + 1) decimal = a / 10^#a else decimal = firstSplit[2] / 10^#firstSplit[2] end return fastNew(first, second) * sign, decimal end return Num end --[=[ @within InfiniteMath Returns the logarithm of x with the given base. Default base is constant e (2.7182818) @param Num number | string | table | Number @param Base number @return Number ]=] function InfiniteMath.log(Num, Base): Number Num = checkNumber(Num) if InfiniteMath.sign(Num) == -1 then return NaN -- log of a negative number is always nan end if Base == nil then Base = 2.7182818 end local f, e = normalize(Num.first, Num.second) -- log_base(Num) = log_base(f) + e * log_base(10) local term1 = InfiniteMath.new(e) * math.log(10, Base) local term2 = InfiniteMath.new(math.log(f, Base)) return term1 + term2 end --[=[ @within InfiniteMath Returns the base-10 logarithm of x. @param Num number | string | table | Number @return Number ]=] function InfiniteMath.log10(Num): Number return InfiniteMath.log(Num, 10) end --[=[ @within InfiniteMath Checks if a value is nil (or an invalid constructed number). This is meant as a "safe check" for external inputs / user data. Returns true if: - `x == nil`, OR - `x` is a constructed `Number` but has missing fields (`first` or `second` is nil). @param x any @return boolean ]=] function InfiniteMath.isNil(x: any): boolean if x == nil then return true end if isNumberObject(x) then return x.first == nil or x.second == nil end return false end --[=[ @within InfiniteMath Checks if a value is NaN. Supported inputs: - `number`: true if `x ~= x` - constructed `Number`: true if either internal field is NaN-like - `string`: true if it contains "nan" - anything else: false This function does NOT throw. @param x any @return boolean ]=] function InfiniteMath.isNaN(x: any): boolean if x == nil then return false end if type(x) == "number" then return x ~= x end if isNumberObject(x) then return isFieldNaN(x.first) or isFieldNaN(x.second) end if type(x) == "string" then return x == "nan" end return false end --[=[ @within InfiniteMath Checks if a value is positive or negative infinity. Supported inputs: - `number`: true if `x == math.huge` or `x == -math.huge` - constructed `Number`: true if either internal field is inf-like - `string`: true if it equals "inf", "-inf" - anything else: false This function does NOT throw. @param x any @return boolean ]=] function InfiniteMath.isInf(x: any): boolean if x == nil then return false end if type(x) == "number" then return x == math.huge or x == -math.huge end if isNumberObject(x) then return isFieldInf(x.first) or isFieldInf(x.second) end if type(x) == "string" then return x == "inf" or x == "-inf" end return false end --[=[ @within InfiniteMath Checks if a value represents exactly zero. Note: - For constructed `Number`s, it normalizes using `fixNumber`, so values like `{0, 1000}` are treated as zero. Supported inputs: - `number` - constructed `Number` - `string` (tries `tonumber`, and also supports `"0,123"` style) This function does NOT throw. @param x any @return boolean ]=] function InfiniteMath.isZero(x: any): boolean if x == nil then return false end if type(x) == "number" then return x == 0 end if isNumberObject(x) then local f, e = normalize(x.first, x.second) return f == 0 and e == 0 end if type(x) == "string" then local n = tonumber(x) if n ~= nil then return n == 0 end -- "0,1234" style local a = x:match("^%s*([+-]?%d*%.?%d+)%s*,") return a ~= nil and tonumber(a) == 0 end return false end InfiniteMath.Int = int(InfiniteMath) return InfiniteMath
8,306
imezx/JPSPlus
imezx-JPSPlus-127f489/benchmark.luau
"--!native\n--!optimize 2\nlocal RunService = game:GetService(\"RunService\")\n\nlocal JPSPlus = req(...TRUNCATED)
1,686
imezx/JPSPlus
imezx-JPSPlus-127f489/playground/WorldGrid.luau
"local WorldGrid = {}\nWorldGrid.__index = WorldGrid\n\nfunction WorldGrid.new(origin: Vector3, cell(...TRUNCATED)
218
imezx/JPSPlus
imezx-JPSPlus-127f489/src/dirs.luau
"--!optimize 2\nlocal Dirs = {}\n\n@native\nlocal function bit(d) return bit32.lshift(1, d-1) end\n\(...TRUNCATED)
648
imezx/JPSPlus
imezx-JPSPlus-127f489/src/grid.luau
"--!optimize 2\nlocal Grid = {}\nGrid.__index = Grid\n\nGrid.DiagonalPolicy = {\n\tAlways = \"Always(...TRUNCATED)
485
imezx/JPSPlus
imezx-JPSPlus-127f489/src/init.luau
"--@EternityDev\n-- Jump Point Search Plus (JPS+)\nlocal JPSPlus = {}\n\nJPSPlus.dirs = require(\"@s(...TRUNCATED)
86
imezx/JPSPlus
imezx-JPSPlus-127f489/src/planner.luau
"--!native\n--!optimize 2\nlocal Dirs = require(\"./dirs\")\nlocal PQ = require(\"./priorityqueue\")(...TRUNCATED)
2,695
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Luau Stack HQ

Luau Stack HQ is a highly curated & deduplicated Luau source code from github repository with linter (stylua), it contains ~16.48M tokens (21704 unique files & 276 unique repo). It is built strictly for the training stages, providing a pristine density of type-safe, functional architecture without the noise of standard web scrapes.

# Filtering Pipeline

To ensure the highest quality data for pretraining, the dataset was built using a rigorous, multi-step extraction and filtering pipeline:

  • Repository Selection: * Target Terms: Searches focus on rbx, rblx, roblox, and luau.
    • Quality: Minimum of 5 stars.
    • Relevance: Because Luau is updated frequently, only repositories active or pushed within the last 2.5 years are included.
    • Repo Deduplication: Forks are strictly excluded.
  • Auto-Formatting (StyLua): Every raw .luau and .lua file is piped through StyLua to ensure consistent syntax. Unparseable files are dropped.
  • Cheat & Exploit Removal: * Repositories with cheat-related keywords in their name, description, or topics (e.g., aimbot, executor, synapse, krnl) are blacklisted.
    • Code containing Roblox exploit globals (e.g., getfenv, setfenv, hookfunction, loadstring, getrawmetatable) is entirely discarded.
  • Noise Reduction: Test files, mocks, .spec. files, and compiled /dist/ directories are ignored. Files smaller than 100 bytes or larger than 1MB are also excluded.

# Licensing

The source code contained within this dataset belongs to their respective original authors. All data was sourced from public GitHub repositories under open-source licenses, with forks explicitly excluded. Please respect the original repository licenses when utilizing this dataset for commercial model training.

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