local pow2 = {1} for i = 2, 28 do pow2[i] = pow2[i - 1] * 2 end local function mergesort(ary, buf, sortfunc) local n = #ary local rep, mul = 0, 1 while mul < n do rep, mul = rep + 1, mul * 2 end for irep = 1, rep do local src = irep % 2 == 1 and ary or buf local dst = irep % 2 == 1 and buf or ary local sz = pow2[irep] local boxcnt = pow2[rep - irep + 1] for i = 1, boxcnt do local il = 1 + sz * 2 * (i - 1) local ir = il + sz local llim = ir - 1 local rlim = llim + sz local id = il local rem = sz * 2 if n <= llim then for k = il, n do dst[k] = src[k] end break elseif n <= rlim then rlim = n rem = n - il + 1 end for j = 1, rem do if sortfunc(src[ir], src[il]) then dst[id] = src[ir] ir = ir + 1 else dst[id] = src[il] il = il + 1 end id = id + 1 if llim < il then for k = 0, rem - j - 1 do dst[id + k] = src[ir + k] end break elseif rlim < ir then for k = 0, rem - j - 1 do dst[id + k] = src[il + k] end break end end end end -- local sorted_tbl_is_written_in_ary1 = rep % 2 == 0 return rep % 2 == 0 end local ffi = require("ffi") local C = ffi.C ffi.cdef[[ long long atoll(const char*); ]] local function lltonumber(str) return C.atoll(str) end local k, q = io.read("*n", "*n", "*l") k = 1LL * k local lim = 1000000007LL * 1000000007LL local function solve(x) local min, max = x - 1LL, x * 2LL + 10 while 1LL < max - min do local mid = (min + max) / 2LL local v = (mid + k - 1LL) / k if x + 1LL <= mid - v then max = mid else min = mid end end return max - 1LL end local t = {} local sz = 1LL while sz < lim do sz = solve(sz) table.insert(t, sz) end -- print(t[1]) -- print(#t, t[#t]) -- os.exit() local a = {} local aidx = {} local ans = {} for iq = 1, q do aidx[iq] = iq local z = io.read() z = string.rep("0", 19 - #z) .. z a[iq] = z ans[iq] = 0 end local buf = {} local f = mergesort(aidx, buf, function(x, y) return a[x] < a[y] end) if not f then aidx = buf end local tpos = 1 for iq = 1, q do local i = aidx[iq] local n = lltonumber(a[i]) if n == 1LL then ans[i] = 1 else while tpos <= #t and t[tpos] < n do tpos = tpos + 1 end if tpos == 1 then ans[i] = 2 else ans[i] = tostring(t[tpos - 1] + 1LL):gsub("LL", "") end end end print(table.concat(ans, "\n"))