import macros;macro ImportExpand(s:untyped):untyped = parseStmt($s[2])
{.checks: off.}
import strutils
ImportExpand "cplib/tmpl/citrus.nim" <=== "when not declared CPLIB_TMPL_CITRUS:\n    const CPLIB_TMPL_CITRUS* = 1\n    {.warning[UnusedImport]: off.}\n    {.hint[XDeclaredButNotUsed]: off.}\n    import os\n    import algorithm\n    import sequtils\n    import tables\n    import macros\n    import std/math\n    import sets\n    import strutils\n    import strformat\n    import sugar\n    import streams\n    import deques\n    import bitops\n    import heapqueue\n    const MODINT998244353* = 998244353\n    const MODINT1000000007* = 1000000007\n    const INF* = 100100111\n    const INFL* = int(3300300300300300491)\n    type double* = float64\n    let readNext = iterator(getsChar: bool = false): string {.closure.} =\n        while true:\n            var si: string\n            try: si = stdin.readLine\n            except EOFError: yield \"\"\n            for s in si.split:\n                if getsChar:\n                    for i in 0..<s.len(): yield s[i..i]\n                else:\n                    yield s\n    proc input*(t: typedesc[string]): string = readNext()\n    proc input*(t: typedesc[char]): char = readNext(true)[0]\n    proc input*(t: typedesc[int]): int = readNext().parseInt\n    proc input*(t: typedesc[float]): float = readNext().parseFloat\n    macro input*(t: typedesc, n: varargs[int]): untyped =\n        var repStr = \"\"\n        for arg in n:\n            repStr &= &\"({arg.repr}).newSeqWith \"\n        parseExpr(&\"{repStr}input({t})\")\n    macro input*(ts: varargs[auto]): untyped =\n        var tupStr = \"\"\n        for t in ts:\n            tupStr &= &\"input({t.repr}),\"\n        parseExpr(&\"({tupStr})\")\n    macro input*(n: int, ts: varargs[auto]): untyped =\n        for typ in ts:\n            if typ.typeKind != ntyAnything:\n                error(\"Expected typedesc, got \" & typ.repr, typ)\n        parseExpr(&\"({n.repr}).newSeqWith input({ts.repr})\")\n    proc `fmtprint`*(x: int or string or char): string = return $x\n    proc `fmtprint`*(x: float or float32 or\n            float64): string = return &\"{x:.16f}\"\n    proc `fmtprint`*[T](x: seq[T] or Deque[T] or HashSet[T] or set[\n            T]): string = return x.toSeq.join(\" \")\n    proc `fmtprint`*[T, N](x: array[T, N]): string = return x.toSeq.join(\" \")\n    proc `fmtprint`*[T](x: HeapQueue[T]): string =\n        var q = x\n        while q.len != 0:\n            result &= &\"{q.pop()}\"\n            if q.len != 0: result &= \" \"\n    proc `fmtprint`*[T](x: CountTable[T]): string =\n        result = x.pairs.toSeq.mapIt(&\"{it[0]}: {it[1]}\").join(\" \")\n    proc `fmtprint`*[K, V](x: Table[K, V]): string =\n        result = x.pairs.toSeq.mapIt(&\"{it[0]}: {it[1]}\").join(\" \")\n    proc print*(prop: tuple[f: File, sepc: string, endc: string, flush: bool],\n            args: varargs[string, `fmtprint`]) =\n        for i in 0..<len(args):\n            prop.f.write(&\"{args[i]}\")\n            if i != len(args) - 1: prop.f.write(prop.sepc) else: prop.f.write(prop.endc)\n        if prop.flush: prop.f.flushFile()\n    proc print*(args: varargs[string, `fmtprint`]) = print((f: stdout,\n            sepc: \" \", endc: \"\\n\", flush: false), args)\n    proc inner_debug*(x: auto) = print((f: stderr, sepc: \"\", endc: \"\",\n            flush: true), x)\n    const LOCAL_DEBUG{.booldefine.} = false\n    macro debug*(n: varargs[typed]): untyped =\n        when LOCAL_DEBUG:\n            result = newNimNode(nnkStmtList, n)\n            for i in 0..n.len-1:\n                if n[i].kind == nnkStrLit:\n                    result.add(newCall(\"inner_debug\", n[i]))\n                    result.add(newCall(\"inner_debug\", newStrLitNode(\": \")))\n                    result.add(newCall(\"inner_debug\", n[i]))\n                else:\n                    result.add(newCall(\"inner_debug\", toStrLit(n[i])))\n                    result.add(newCall(\"inner_debug\", newStrLitNode(\": \")))\n                    result.add(newCall(\"inner_debug\", n[i]))\n                if i != n.len-1:\n                    result.add(newCall(\"inner_debug\", newStrLitNode(\", \")))\n                else:\n                    result.add(newCall(\"inner_debug\", newStrLitNode(\"\\n\")))\n        else:\n            return quote do:\n                discard\n    proc `%`*(x: SomeInteger, y: SomeInteger): int = (((x mod y) + y) mod y)\n    proc `//`*(x: int, y: int): int = ((x - (x%y)) div y)\n    proc `^`*(x: int, y: int): int = x xor y\n    proc `&`*(x: int, y: int): int = x and y\n    proc `|`*(x: int, y: int): int = x or y\n    proc `>>`*(x: int, y: int): int = x shr y\n    proc `<<`*(x: int, y: int): int = x shl y\n    proc `%=`*(x: var SomeInteger or int64, y: SomeInteger or\n            int64): void = x = x % y\n    proc `//=`*(x: var int, y: int): void = x = x // y\n    proc `^=`*(x: var int, y: int): void = x = x ^ y\n    proc `&=`*(x: var int, y: int): void = x = x & y\n    proc `|=`*(x: var int, y: int): void = x = x | y\n    proc `>>=`*(x: var int, y: int): void = x = x >> y\n    proc `<<=`*(x: var int, y: int): void = x = x << y\n    proc `[]`*(x: int, n: int): bool = (x and (1 shl n)) != 0\n\n    proc pow*(a, n: int, m = INFL): int =\n        var\n            rev = 1\n            a = a\n            n = n\n        while n > 0:\n            if n % 2 != 0: rev = (rev * a) mod m\n            if n > 1: a = (a * a) mod m\n            n >>= 1\n        return rev\n    proc sqrt*(x: int): int =\n        assert(x >= 0)\n        result = int(sqrt(float64(x)))\n        while result * result > x: result -= 1\n        while (result+1) * (result+1) <= x: result += 1\n    proc chmax*[T](x: var T, y: T): bool = (if x < y: (x = y; return true;\n        ) return false)\n    proc chmin*[T](x: var T, y: T): bool = (if x > y: (x = y; return true;\n        ) return false)\n    proc `max=`*[T](x: var T, y: T) = x = max(x, y)\n    proc `min=`*[T](x: var T, y: T) = x = min(x, y)\n    proc at*(x: char, a = '0'): int = int(x) - int(a)\n    converter tofloat*(n: int): float = float(n)\n    iterator rangeiter*(start: int, ends: int, step: int): int =\n        var i = start\n        if step < 0:\n            while i > ends:\n                yield i\n                i += step\n        elif step > 0:\n            while i < ends:\n                yield i\n                i += step\n    iterator rangeiter*(ends: int): int = (for i in 0..<ends: yield i)\n    iterator rangeiter*(start: int, ends: int): int = (for i in\n            start..<ends: yield i)\n    proc Yes*(b: bool = true): void = print(if b: \"Yes\" else: \"No\")\n    proc No*(b: bool = true): void = Yes(not b)\n    proc YES_upper*(b: bool = true): void = print(if b: \"YES\" else: \"NO\")\n    proc NO_upper*(b: bool = true): void = Yes_upper(not b)\n    const DXY* = [(0, -1), (0, 1), (-1, 0), (1, 0)]\n    const DDXY* = [(1, -1), (1, 0), (1, 1), (0, -1), (0, 1), (-1, -1), (-1, 0),\n            (-1, 1)]\n    macro exit*(statement: untyped): untyped =\n        quote do:\n            `statement`\n            quit()\n    proc vector*[T](d1, : int, default: T = T(0)): seq[T] = newSeqWith(d1, default)\n    proc vv*[T](d1, d2: int, default: T = T(0)): seq[seq[T]] = newSeqWith(d1,\n            newSeqWith(d2, default))\n    proc vvv*[T](d1, d2, d3: int, default: T = T(0)): seq[seq[seq[\n            T]]] = newSeqWith(d1, newSeqWith(d2, newSeqWith(d3, default)))\n    proc vvvv*[T](d1, d2, d3, d4: int, default: T = T(0)): seq[seq[seq[seq[\n            T]]]] = newSeqWith(d1, newSeqWith(d2, newSeqWith(d3, newSeqWith(d4, default))))\n    proc vvvvv*[T](d1, d2, d3, d4, d5: int, default: T = T(0)): seq[seq[seq[seq[\n            seq[T]]]]] = newSeqWith(d1, newSeqWith(d2, newSeqWith(d3,\n            newSeqWith(d4, newSeqWith(d5, default)))))\n    proc vvvvvv*[T](d1, d2, d3, d4, d5, d6: int, default: T = T(0)): seq[seq[\n            seq[seq[seq[seq[T]]]]]] = newSeqWith(d1, newSeqWith(d2, newSeqWith(\n            d3, newSeqWith(d4, newSeqWith(d5, newSeqWith(d6, default))))))\n    discard\n"

ImportExpand "cplib/math/euler_phi.nim" <=== "when not declared CPLIB_MATH_EULER_PHI:\n    const CPLIB_MATH_EULER_PHI* = 1\n    import sequtils\n    proc euler_phi*(n: int): int =\n        result = n\n        var n = n\n        for i in 2..<n:\n            if i+i > n:\n                break\n            if n mod i == 0:\n                result -= result div i\n                while n mod i == 0:\n                    n = n div i\n        if n > 1:\n            result -= result div n\n\n    proc euler_phi_list*(n: int): seq[int] =\n        result = (0..n).toSeq\n        for i in 2..n:\n            if result[i] == i:\n                for j in countup(i, n, i):\n                    result[j] = result[j] div i\n                    result[j] *= (i - 1)\n    discard\n"

ImportExpand "cplib/math/divisor.nim" <=== "when not declared CPLIB_MATH_DIVISOR:\n    const CPLIB_MATH_DIVISOR* = 1\n    import sequtils\n    import tables\n    import algorithm\n    #[ import cplib/math/primefactor ]#\n    when not declared CPLIB_MATH_PRIMEFACTOR:\n        const CPLIB_MATH_PRIMEFACTOR* = 1\n        #[ import cplib/math/inner_math ]#\n        when not declared CPLIB_MATH_INNER_MATH:\n            const CPLIB_MATH_INNER_MATH* = 1\n            proc mul*(a, b, m: int): int {.importcpp: \"(__int128)(#) * (#) % (#)\", nodecl.}\n            discard\n        #[ import cplib/math/isprime ]#\n        when not declared CPLIB_MATH_ISPRIME:\n            const CPLIB_MATH_ISPRIME* = 1\n            #[ import cplib/math/powmod ]#\n            when not declared CPLIB_MATH_POWMOD:\n                const CPLIB_MATH_POWMOD* = 1\n                #[ import cplib/math/inner_math ]#\n                proc powmod*(a, n, m: int): int =\n                    var\n                        rev = 1\n                        a = a\n                        n = n\n                    while n > 0:\n                        if n mod 2 != 0: rev = mul(rev, a, m)\n                        if n > 1: a = mul(a, a, m)\n                        n = n shr 1\n                    return rev\n                discard\n            proc isprime*(N: int): bool =\n                let bases = [2, 325, 9375, 28178, 450775, 9780504, 1795265022]\n                if N == 2:\n                    return true\n                if N < 2 or (N and 1) == 0:\n                    return false\n                let N1 = N-1\n                var d = N1\n                var s = 0\n                while (d and 1) == 0:\n                    d = d shr 1\n                    s += 1\n                for a in bases:\n                    var t: int\n                    if a mod N == 0:\n                        continue\n                    t = powmod(a, d, N)\n                    if t == 1 or t == N1:\n                        continue\n                    block test:\n                        for _ in 0..<(s-1):\n                            t = powmod(t, 2, N)\n                            if t == N1:\n                                break test\n                        return false\n                return true\n            discard\n        import random\n        import std/math\n        import algorithm\n        import tables\n    \n        randomize()\n        proc find_factor(n: int): int =\n            if not ((n and 1) != 0): return 2\n            if isprime(n): return n\n            const m = 128\n            while true:\n                var x, ys, q, r, g = 1\n                var rnd, y = rand(0..n-3) + 2\n                proc f(x: int): int = (mul(x, x, n) + rnd) mod n\n                while g == 1:\n                    x = y\n                    for i in 0..<r: y = f(y)\n                    for k in countup(0, r-1, m):\n                        ys = y\n                        for _ in 0..<min(m, r-k):\n                            y = f(y)\n                            q = mul(q, abs(x-y), n)\n                        g = gcd(q, n)\n                        if g != 1: break\n                    r = r shl 1\n                if g == n:\n                    g = 1\n                    while g == 1:\n                        ys = f(ys)\n                        g = gcd(n, abs(x - ys))\n                if g < n:\n                    if isprime(g): return g\n                    elif isprime(n div g): return n div g\n                    return find_factor(g)\n    \n        proc primefactor*(n: int, sorted: bool = true): seq[int] =\n            var n = n\n            while n > 1 and not isprime(n):\n                var p = find_factor(n)\n                while n mod p == 0:\n                    result.add(p)\n                    n = n div p\n            if n > 1: result.add(n)\n            if sorted: return result.sorted\n    \n        proc primefactor_cnt*(n: int): Table[int, int] =\n            for p in primefactor(n):\n                if p in result: result[p] += 1\n                else: result[p] = 1\n        discard\n    proc divisor_naive(x: int, sorted: bool): seq[int] =\n        for i in 1..x:\n            if i*i > x: break\n            if x mod i == 0:\n                result.add(i)\n                if i*i != x:\n                    result.add(x div i)\n        if sorted: result.sort\n\n    proc divisor*(x: int, sorted: bool = true): seq[int] =\n        if x <= 1000_000: return divisor_naive(x, sorted)\n        var factor = primefactor(x).toCountTable.pairs.toSeq\n        var ans = newSeq[int](0)\n        proc dfs(d, x: int) =\n            if d == factor.len:\n                ans.add(x)\n                return\n            var mul = 1\n            for i in 0..factor[d][1]:\n                dfs(d+1, x*mul)\n                if i != factor[d][1]: mul *= factor[d][0]\n        dfs(0, 1)\n        if sorted: ans.sort\n        return ans\n    discard\n"

ImportExpand "cplib/math/powmod.nim" <=== ""


var t = stdin.readLine.parseint
var ans = newSeq[int](0)
for _ in 0..<t:
    var n = stdin.readLine.parseint
    while n mod 2 == 0: n = n div 2
    while n mod 5 == 0: n = n div 5
    continue
    if n == 1:
        ans.add(1)
        continue
    for p in divisor(euler_phi(n)):
        if pow(10, p, n) == 1:
            ans.add(p)
            break
echo ans.join("\n")