import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } void main() { try { for (; ; ) { const numCases = readInt(); foreach (caseId; 0 .. numCases) { long N = readLong(); for (; N % 2 == 0; N /= 2) {} for (; N % 5 == 0; N /= 5) {} long phi = N; { long n = N; for (long p = 2; p^^2 <= n; ++p) { if (n % p == 0) { do { n /= p; } while (n % p == 0); phi = phi / p * (p - 1); } } if (n > 1) { phi = phi / n * (n - 1); } } debug { writeln("phi = ", phi); } long[] ds; for (long d = 1; d^^2 <= phi; ++d) { if (phi % d == 0) { ds ~= d; if (d != phi / d) { ds ~= phi / d; } } } ds.sort; long power(long a, long e) { long x = a % N, y = 1 % N; for (; e; e >>= 1) { if (e & 1) y = (y * x) % N; x = (x * x) % N; } return y; } long ans = phi; foreach (d; ds) { if ((power(10, d) - 1) % N == 0) { ans = d; break; } } writeln(ans); } } } catch (EOFException e) { } }