local n = io.read("*n") local mce, mfl, msq, mmi = math.ceil, math.floor, math.sqrt, math.min local function getprimes(x) local primes = {} local allnums = {} for i = 1, x do allnums[i] = true end for i = 2, x do if(allnums[i]) then table.insert(primes, i) local lim = mfl(x / i) for j = 2, lim do allnums[j * i] = false end end end return primes end local function getdivisorparts(x, primes) local prime_num = #primes local tmp = {} local lim = mce(msq(x)) local primepos = 1 local dv = primes[primepos] while(primepos <= prime_num and dv <= lim) do if(x % dv == 0) then local asdf = {} asdf.p = dv asdf.cnt = 1 x = x / dv while(x % dv == 0) do x = x / dv asdf.cnt = asdf.cnt + 1 end table.insert(tmp, asdf) lim = mce(msq(x)) end if(primepos == prime_num) then break end primepos = primepos + 1 dv = primes[primepos] end if(x ~= 1) then local asdf = {} asdf.p, asdf.cnt = x, 1 table.insert(tmp, asdf) end return tmp end local function getdivisor(divisorparts) local t = {} local pat = 1 local len = #divisorparts local allpat = 1 for i = 1, len do allpat = allpat * (divisorparts[i].cnt + 1) end for t_i_pat = 0, allpat - 1 do local div = allpat local i_pat = t_i_pat local ret = 1 for i = 1, len do div = mfl(div / (divisorparts[i].cnt + 1)) local mul = mfl(i_pat / div) i_pat = i_pat % div for j = 1, mul do ret = ret * divisorparts[i].p end end table.insert(t, ret) end table.sort(t) return t end local retmin, retmax = n - 1, n - 1 local primes = getprimes(mce(msq(n))) local divisorparts = getdivisorparts(n, primes) local divisor = getdivisor(divisorparts) local dmax = mce(n^(1/3)) for i = 1, #divisor do if(dmax < divisor[i]) then break end local divpart = getdivisorparts(divisor[i], primes) local remparts = {} local k = 1 for j = 1, #divpart do while(k <= #divisorparts) do local tmp = {} tmp.p = divisorparts[k].p if divpart[j].p == divisorparts[k].p then tmp.cnt = divisorparts[k].cnt - divpart[j].cnt if(0 < tmp.cnt) then table.insert(remparts, tmp) end k = k + 1 break else tmp.cnt = divisorparts[k].cnt table.insert(remparts, tmp) k = k + 1 end end end local rem = mfl(n / divisor[i]) local remdiv = getdivisor(remparts) local remlim = mce(msq(rem)) for j = 1, #remdiv do if(remlim < remdiv[j]) then break end local last = mfl(rem / remdiv[j]) retmin = mmi(retmin, divisor[i] + remdiv[j] + last - 3) end end print(retmin .. " " .. retmax)