#include <bits/stdc++.h>
using namespace std;
template <class T>
inline void gmin(T &x, const T &y) {
  x = x > y ? y : x;
}
template <class T>
inline void gmax(T &x, const T &y) {
  x = x < y ? y : x;
}
template <class T>
inline bool Gmin(T &x, const T &y) {
  return x > y ? x = y, 1 : 0;
}
template <class T>
inline bool Gmax(T &x, const T &y) {
  return x < y ? x = y, 1 : 0;
}
const int BufferSize = 1 << 16;
char buffer[BufferSize], *Bufferhead, *Buffertail;
bool Terminal;
inline char Getchar() {
  if (Bufferhead == Buffertail) {
    int l = fread(buffer, 1, BufferSize, stdin);
    if (!l) {
      Terminal = 1;
      return 0;
    }
    Buffertail = (Bufferhead = buffer) + l;
  }
  return *Bufferhead++;
}
template <class T>
inline bool read(T &x) {
  x = 0;
  char c = Getchar(), rev = 0;
  while (c < '0' || c > '9') {
    rev |= c == '-';
    c = Getchar();
    if (Terminal) return 0;
  }
  while (c >= '0' && c <= '9') x = x * 10 + c - '0', c = Getchar();
  if (c == '.') {
    c = Getchar();
    double t = 0.1;
    while (c >= '0' && c <= '9')
      x = x + (c - '0') * t, c = Getchar(), t = t / 10;
  }
  x = rev ? -x : x;
  return 1;
}
template <class T1, class T2>
inline bool read(T1 &x, T2 &y) {
  return read(x) & read(y);
}
template <class T1, class T2, class T3>
inline bool read(T1 &x, T2 &y, T3 &z) {
  return read(x) & read(y) & read(z);
}
template <class T1, class T2, class T3, class T4>
inline bool read(T1 &x, T2 &y, T3 &z, T4 &w) {
  return read(x) & read(y) & read(z) & read(w);
}
inline bool reads(char *x) {
  char c = Getchar();
  while (c < 33 || c > 126) {
    c = Getchar();
    if (Terminal) return 0;
  }
  while (c >= 33 && c <= 126) (*x++) = c, c = Getchar();
  *x = 0;
  return 1;
}
template <class T>
inline void print(T x, const char c = '\n') {
  if (!x) {
    putchar('0');
    putchar(c);
    return;
  }
  if (x < 0) putchar('-'), x = -x;
  int m = 0, a[20];
  while (x) a[m++] = x % 10, x /= 10;
  while (m--) putchar(a[m] + '0');
  putchar(c);
}
const int inf = 0x3f3f3f3f;
const int N = 200005, M = 100005, mod = 1e9 + 7;
template <class T, class S>
inline void ch(T &x, const S y) {
  x = (x + y) % mod;
}
inline long long mul(long long x, long long y, long long mod) {
  long long t = x * y - (long long)((long double)x * y / mod) * mod;
  return t < 0 ? t + mod : t;
}
inline long long exp(long long x, long long y, long long mod) {
  long long ans = 1;
  while (y) {
    if (y & 1) ans = mul(ans, x, mod);
    x = mul(x, x, mod);
    y >>= 1;
  }
  return ans;
}
inline int getlen(long long a) {
  int ans = 0;
  while (a) a /= 10, ans++;
  return ans;
}
inline long long calc(int g, int p, int a, long long x) {
  long long mod = p, phi = p - 1, d = 0;
  for (int i = 0, pw = 1; i < p; i++) {
    if (pw == x % p) {
      d = i;
      break;
    }
    pw = (long long)pw * g % p;
  }
  for (int i = 2; i <= a; i++) {
    mod *= p;
    for (;; d += phi)
      if (exp(g, d, mod) == x % mod) break;
    phi *= p;
  }
  return d;
}
int Main(int argv) {
  long long a;
  read(a);
  int n;
  n = getlen(a);
  for (int m = 0;; m++) {
    long long b = (-a) & ((1ll << n + m) - 1);
    cerr << "m"
         << "=" << m << endl;
    if (m && b % 5 == 0) b += (1ll << n + m);
    if (!m && a % 5 == 0) goto power;
    if (getlen(b) <= m) {
      print(calc(2, 5, n + m, (a + b) >> n + m) + n + m);
      return 0;
    }
  power:
    a *= 10;
  }
  return 0;
}
void clear() {}
int main() {
  int T;
  scanf("%d", &T);
  for (int i = 1; i <= T; i++) Main(i), clear();
  return 0;
}
