#line 1 "main.cpp"

/**
 * @title Template
 */

#include <iostream>
#include <algorithm>
#include <utility>
#include <numeric>
#include <vector>
#include <array>

struct range {
  using itr = int64_t;
  struct iterator {
    itr i;
    constexpr iterator(itr i_) noexcept : i(i_) { }
    constexpr void operator ++ () noexcept { ++i; }
    constexpr itr operator * () const noexcept { return i; }
    constexpr bool operator != (iterator x) const noexcept { return i != x.i; }
  };
  const iterator l, r;
  constexpr range(itr l_, itr r_) noexcept : l(l_), r(std::max(l_, r_)) { }
  constexpr iterator begin() const noexcept { return l; }
  constexpr iterator end() const noexcept { return r; }
};

struct revrange {
  using itr = int64_t;
  struct iterator {
    itr i;
    constexpr iterator(itr i_) noexcept : i(i_) { }
    constexpr void operator ++ () noexcept { --i; }
    constexpr itr operator * () const noexcept { return i; }
    constexpr bool operator != (iterator x) const noexcept { return i != x.i; }
  };
  const iterator l, r;
  constexpr revrange(itr l_, itr r_) noexcept : l(l_ - 1), r(std::max(l_, r_) - 1) { }
  constexpr iterator begin() const noexcept { return r; }
  constexpr iterator end() const noexcept { return l; }
};

#line 2 "/Users/kodamankod/Desktop/Programming/Library/algebraic/modular.cpp"

#include <cstdint>
#line 5 "/Users/kodamankod/Desktop/Programming/Library/algebraic/modular.cpp"

template <uint32_t Modulus>
class modular {
public:
  using value_type = uint32_t;
  using max_type = uint64_t;

  static constexpr value_type mod = Modulus;
  static constexpr value_type get_mod() noexcept { return mod; }
  static_assert(mod >= 2, "invalid mod :: smaller than 2");
  static_assert(mod < (value_type(1) << 31), "invalid mod :: over 2^31");

  template <class T>
  static constexpr value_type normalize(T value_) noexcept {
    if (value_ < 0) {
      value_ = -value_;
      value_ %= mod;
      if (value_ == 0) return 0;
      return mod - value_;
    }
    return value_ % mod;
  }

private:
  value_type value;

public:
  constexpr modular() noexcept : value(0) { }
  template <class T>
  explicit constexpr modular(T value_) noexcept : value(normalize(value_)) { }
  template <class T>
  explicit constexpr operator T() const noexcept { return static_cast<T>(value); }

  constexpr value_type get() const noexcept { return value; }
  constexpr modular operator - () const noexcept { return modular(mod - value); }
  constexpr modular operator ~ () const noexcept { return inverse(); }

  constexpr value_type &extract() noexcept { return value; }
  constexpr modular inverse() const noexcept { return power(mod - 2); }
  constexpr modular power(max_type exp) const noexcept {
    modular res(1), mult(*this);
    while (exp > 0) {
      if (exp & 1) res *= mult;
      mult *= mult;
      exp >>= 1;
    }
    return res;
  }

  constexpr modular operator + (const modular &rhs) const noexcept { return modular(*this) += rhs; }
  constexpr modular& operator += (const modular &rhs) noexcept { 
    if ((value += rhs.value) >= mod) value -= mod; 
    return *this; 
  }

  constexpr modular operator - (const modular &rhs) const noexcept { return modular(*this) -= rhs; }
  constexpr modular& operator -= (const modular &rhs) noexcept { 
    if ((value += mod - rhs.value) >= mod) value -= mod; 
    return *this; 
  }

  constexpr modular operator * (const modular &rhs) const noexcept { return modular(*this) *= rhs; }
  constexpr modular& operator *= (const modular &rhs) noexcept { 
    value = (max_type) value * rhs.value % mod;
    return *this;
  }

  constexpr modular operator / (const modular &rhs) const noexcept { return modular(*this) /= rhs; }
  constexpr modular& operator /= (const modular &rhs) noexcept { return (*this) *= rhs.inverse(); }

  constexpr bool zero() const noexcept { return value == 0; }
  constexpr bool operator == (const modular &rhs) const noexcept { return value == rhs.value; }
  constexpr bool operator != (const modular &rhs) const noexcept { return value != rhs.value; }
  friend std::ostream& operator << (std::ostream &stream, const modular &rhs) {
    return stream << rhs.value;
  }

};

/**
 * @title Modint
 */
#line 2 "/Users/kodamankod/Desktop/Programming/Library/other/fast_io.cpp"

#include <cstddef>
#line 5 "/Users/kodamankod/Desktop/Programming/Library/other/fast_io.cpp"
#include <cstring>
#line 7 "/Users/kodamankod/Desktop/Programming/Library/other/fast_io.cpp"

namespace fast_io {
  static constexpr size_t buf_size = 1 << 18;
  static constexpr size_t buf_margin = 1;
  static constexpr size_t block_size = 10000;
  static constexpr size_t integer_size = 20;

  static char inbuf[buf_size + buf_margin] = {};
  static char outbuf[buf_size + buf_margin] = {};
  static char block_str[block_size * 4 + buf_margin] = {};

  static constexpr uint64_t power10[] = {
    1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000,
    1000000000, 10000000000, 100000000000, 1000000000000, 10000000000000,
    100000000000000, 1000000000000000, 10000000000000000, 100000000000000000,
    1000000000000000000, 10000000000000000000u
  };

  class scanner {
  private:
    size_t M_in_pos = 0, M_in_end = buf_size;

    void M_load() { 
      M_in_end = fread(inbuf, 1, buf_size, stdin); 
      inbuf[M_in_end] = '\0';  
    }
    void M_reload() {
      size_t length = M_in_end - M_in_pos;
      memmove(inbuf, inbuf + M_in_pos, length);
      M_in_end = length + fread(inbuf + length, 1, buf_size - length, stdin);
      inbuf[M_in_end] = '\0';
      M_in_pos = 0;
    }

    void M_ignore_space() {
      while (inbuf[M_in_pos] <= ' ') {
        if (__builtin_expect(++M_in_pos == M_in_end, 0)) M_reload();
      }
    }

    char M_next() { return inbuf[M_in_pos++]; }
    char M_next_nonspace() {
      M_ignore_space();
      return inbuf[M_in_pos++];
    }

  public:
    scanner() { M_load(); }
    
    void scan(char &c) { c = M_next_nonspace(); }
    void scan(std::string &s) {
      M_ignore_space();
      s = "";
      do {
        size_t start = M_in_pos;
        while (inbuf[M_in_pos] > ' ') ++M_in_pos;
        s += std::string(inbuf + start, inbuf + M_in_pos);
        if (inbuf[M_in_pos] != '\0') break;
        M_reload();
      } while (true);
    }

    template <class T>
    typename std::enable_if<std::is_integral<T>::value, void>::type scan(T &x) {
      char c = M_next_nonspace();
      if (__builtin_expect(M_in_pos + integer_size >= M_in_end, 0)) M_reload();
      bool n = false;
      if (c == '-') n = true, x = 0;
      else x = c & 15;
      while ((c = M_next()) >= '0') x = x * 10 + (c & 15);
      if (n) x = -x;
    }

    template <class T, class... Args>
    void scan(T &x, Args&... args) {
      scan(x); scan(args...);
    }

    template <class T>
    scanner& operator >> (T &x) {
      scan(x); return *this;
    }

  };

  class printer {
  private:
    size_t M_out_pos = 0;

    void M_flush() {
      fwrite(outbuf, 1, M_out_pos, stdout);
      M_out_pos = 0;
    }

    void M_precompute() {
      for (size_t i = 0; i < block_size; ++i) {
        size_t j = 4, k = i;
        while (j--) {
          block_str[i * 4 + j] = k % 10 + '0';
          k /= 10;
        }
      }
    }

    static constexpr size_t S_integer_digits(uint64_t n) {
      if (n >= power10[10]) {
        if (n >= power10[19]) return 20;
        if (n >= power10[18]) return 19;
        if (n >= power10[17]) return 18;
        if (n >= power10[16]) return 17;
        if (n >= power10[15]) return 16;
        if (n >= power10[14]) return 15;
        if (n >= power10[13]) return 14;
        if (n >= power10[12]) return 13;
        if (n >= power10[11]) return 12;
        return 11;
      }
      else {
        if (n >= power10[9]) return 10;
        if (n >= power10[8]) return 9;
        if (n >= power10[7]) return 8;
        if (n >= power10[6]) return 7;
        if (n >= power10[5]) return 6;
        if (n >= power10[4]) return 5;
        if (n >= power10[3]) return 4;
        if (n >= power10[2]) return 3;
        if (n >= power10[1]) return 2;
        return 1;
      }
    }

  public:
    printer() { M_precompute(); }
    ~printer() { M_flush(); }

    void print(char c) { 
      outbuf[M_out_pos++] = c;
      if (__builtin_expect(M_out_pos == buf_size, 0)) M_flush();
    }
    void print(const char *s) {
      while (*s != 0) {
        outbuf[M_out_pos++] = *s++;
        if (M_out_pos == buf_size) M_flush();
      }
    }
    void print(const std::string &s) {
      for (auto c: s) {
        outbuf[M_out_pos++] = c;
        if (M_out_pos == buf_size) M_flush();
      }
    }
    
    template <class T>
    typename std::enable_if<std::is_integral<T>::value, void>::type print(T x) {
      if (__builtin_expect(M_out_pos + integer_size >= buf_size, 0)) M_flush();
      if (x < 0) print('-'), x = -x;
      size_t digit = S_integer_digits(x);
      size_t len = digit;
      while (len >= 4) {
        len -= 4;
        memcpy(outbuf + M_out_pos + len, block_str + (x % block_size) * 4, 4);
        x /= 10000;
      }
      memcpy(outbuf + M_out_pos, block_str + x * 4 + 4 - len, len);
      M_out_pos += digit;
    }

    template <class T, class... Args>
    void print(const T &x, const Args&... args) {
      print(x); print(' '); print(args...);
    }

    template <class... Args>
    void println(const Args&... args) {
      print(args...); print('\n');
    }

    template <class T>
    printer& operator << (const T &x) {
      print(x); return *this;
    }

  };

};

/**
 * @title Fast Input/Output
 */
#line 45 "main.cpp"

using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;

constexpr i32 inf32 = (i32(1) << 30) - 1;
constexpr i64 inf64 = (i64(1) << 62) - 1;

using m32 = modular<1000000007>;

fast_io::scanner cin;
fast_io::printer cout;

constexpr auto fib = [] {
  std::array<u64, 89> res{};
  res[0] = res[1] = 1;
  for (auto i: range(2, 89)) {
    res[i] = res[i - 1] + res[i - 2];
  }
  return res;
}();

std::pair<u64, u64> calc(const std::string &str) {
  u64 a = 1, b = str[0] - '0';
  for (auto i: range(1, str.size())) {
    a += b * (str[i] - '0');
    std::swap(a, b);
  }
  return { a, b };
}

const auto cand = [] { 
  std::array<std::vector<std::pair<u64, u64>>, 88> res{};
  for (auto i: range(2, 88)) {
    res[i].reserve(i);
    std::string ask(i - 1, '1');
    ask[0] = '2';
    res[i].push_back(calc(ask));
    for (auto j: range(1, i - 1)) {
      ask[j] = '2';
      res[i].push_back(calc(ask));
      ask[j] = '1';
    }
    ask[0] = '3';
    res[i].push_back(calc(ask));
  }
  return res;
}(); 

int main() {
  size_t Q;
  cin.scan(Q);
  while (Q--) {
    u64 X, Y;
    cin.scan(X, Y);
    if (X > Y) {
      std::swap(X, Y);
    }
    if (X == 1) {
      cout.println('1', m32(Y).get());
      continue;
    }
    if (Y == 2) {
      cout.println('1', '4');
      continue;
    }
    size_t pos = 0;
    while (fib[pos + 1] <= X && fib[pos + 2] <= Y) {
      ++pos;
    }
    m32 ans;
    for (const auto [a, b]: cand[pos]) {
      if (b <= X && a <= Y) {
        ans += m32((Y - a) / b);
      }
      if (b <= Y && a <= X) {
        ans += m32((X - a) / b);
      }
    }
    cout.println(pos, ans.get());
  }
  return 0;
}


Measured memory_bytes: 4932