/*
                                                                                                     
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            ./oo++////+oso-`   `....       :y-+:::::::/`   ...                                      
             `.:+oooooo/-`         `....-. .//:-------:/:-.`                                        
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                                          `-+o+/:---:/+o/.                                          
                                            `.:+oooo+/-.`                                           
                                               ``````                                               
*/

#ifdef aimbot
#pragma comment(linker, "/stack:200000000")
#pragma GCC optimize("Ofast")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#pragma GCC optimize("unroll-loops")
#endif

#include <iostream>
#include <vector>
#include <algorithm>
#include <cmath>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <map>
#include <set>
#include <queue>
#include <ostream>
#include <istream>
#include <typeinfo>
#include <iomanip>
#include <cstdio>
#include <cstdlib>
#include <cassert>
#include <limits>
#include <fstream>
#include <array>
#include <list>
#include <bitset>
#include <functional>
#include <random>
#include <cstring>
#include <chrono>

#define random escape__from__random__aetuhoetnuhshe
#define mt make_tuple
#define x first
#define y second
#define pb push_back
#define ppb pop_back
#define mp make_pair
#define umap unordered_map
#define uset unordered_set
#define elif else if
#define len(v) ((int)v.size())
#define f(i, n) for (int i = 0; i < (n); i++)
#define rof(i, n) for (int i = ((n) - 1); i >= 0; i--)
#define apply(v, act) for (auto &x : v) { act; }
#define log(args...) {string s = #args;deque<string> deq;\
string buf = "";int bal = 0;for (char c : s) {\
if (c == '(' || c == '[' || c == '{') {bal++;\
} else if (c == ')' || c == ']' || c == '}') {\
bal--;} else {if (bal == 0) {if (c == ',') {\
deq.pb(buf);buf = "";} else {if (c != ' ') {\
buf += c;}}}}}if (!buf.empty()) {deq.pb(buf);}\
smart_io::precall_print();smart_io::_print(deq, args);}

inline int min(const int &x, const int &y) { return (((y-x)>>(32-1))&(x^y))^x; }
inline int max(const int &x, const int &y) { return (((y-x)>>(32-1))&(x^y))^y; }
inline long long min(const long long &x, const long long &y) { return (((y-x)>>(64-1))&(x^y))^x; }
inline long long max(const long long &x, const long long &y) { return (((y-x)>>(64-1))&(x^y))^y; }

#define print    \
smart_io::precall_print(); \
cout,

#define scan cin,

#ifdef fast_allocator
const int MAXMEM = 200 * 1000 * 1024;
char _memory[MAXMEM];
size_t _ptr = 0;
void* operator new(size_t _x) { _ptr += _x; assert(_ptr < MAXMEM); return _memory + _ptr - _x; }
void operator delete (void*) noexcept {}
#endif

using namespace std;

char string_in_buffer[(int)260];


void fast_scan(int &x) { scanf("%d", &x); }
void fast_scan(long long &x) { scanf("%lld", &x); }
void fast_scan(unsigned long long &x) { scanf("%llu", &x); }
void fast_scan(double &x) { scanf("%lf", &x); }
void fast_scan(long double &x) { scanf("%Lf", &x); }
void fast_scan(char &x) {
	scanf("%c", &x);
	if (x == '\n') {
		fast_scan(x);
	}
}
void fast_scan(string &x) {
	scanf("%s", string_in_buffer);
	x = string(string_in_buffer);
}

template<class TFirst, class TSecond>
void fast_scan(pair<TFirst, TSecond> &p) {
	fast_scan(p.first);
	fast_scan(p.second);
}

template <class T>
void fast_scan(vector<T> &v) {
	for (auto &x : v) fast_scan(x);
}

void fast_print(const int &x) { printf("%d", x); }
void fast_print(const unsigned int &x) { printf("%u", x); }
void fast_print(const long long &x) { printf("%lld", x); }
void fast_print(const unsigned long long &x) { printf("%llu", x); }
void fast_print(const char &x) { printf("%c", x); };
// void fast_print(__int128 x) {
// 	if (x == 0) { fast_print('0'); return; }
// 	if (x < 0) {
// 		fast_print('-');
// 		x = -x;
// 	}
// 	__int128 p = 1;
// 	while (x / (p * 10)) p *= 10;
// 	while (p) {
// 		__int128 symb = x / p;
// 		fast_print((int)symb);
// 		x -= p * symb;
// 		p /= 10;
// 	}
// };
void fast_print(const double &x) { printf("%.15lf", x); }
void fast_print(const long double &x) { printf("%.15Lf", x); }
void fast_print(const string &x) { printf("%s", x.c_str());}
void fast_print(const char v[]) { fast_print((string)v); }

template<class TFirst, class TSecond>
void fast_print(const pair<TFirst, TSecond> &p) {
	fast_print(p.first);
	fast_print(' ');
	fast_print(p.second);
}

template <class T>
void fast_print(const vector<T> &v) {
	if (v.empty()) return;
	fast_print(v[0]);
	for (int i = 1; i < v.size(); i++) {
		fast_print(' ');
		fast_print(v[i]);
	}
}

template <class T>
void fast_print(const vector<vector<T>> &v) {
	if (v.empty()) return;
	fast_print(v[0]);
	for (int i = 1; i < v.size(); i++) {
		fast_print('\n');
		fast_print(v[i]);
	}
}

template <class T>
void fast_print(const T &v) {
	for (const auto &x : v) {
		fast_print(x);
		fast_print(' ');
	}
}


using namespace std;


namespace smart_io {
	string print_start = "";
	string sep = " ";
	bool first_print = false;
	
	void precall_print() {
		fast_print(print_start);
		print_start = "\n";
		first_print = true;
	}
	
	void _print(deque<string>) {}
	template<class T, class... Args>
	void _print(deque<string> names, T elem, Args... args) {
		if (!first_print) {
			fast_print("\n");
		} else {
			first_print = false;
		}
		fast_print(names.front());
		fast_print(" = ");
		fast_print(elem);
		names.pop_front();
		_print(names, args...);
	}
} //namespace smart_io


template <class T>
ostream &operator,(ostream &os, const T &object) {
	if (!smart_io::first_print) {
		fast_print(smart_io::sep);
	} else {
		smart_io::first_print = false;
	}
	fast_print(object);
	return os;
}

template <class T>
istream &operator,(istream &is, T &object) {
	fast_scan(object);
	return is;
}

namespace random {
	using namespace std::chrono;
	mt19937 rng(duration_cast< milliseconds >(
											  system_clock::now().time_since_epoch()
											  ).count());
	uniform_real_distribution<> prob_dist(0.0, 1.0);
};
#define int long long
namespace typedefs {
	typedef long long ll;
	typedef unsigned long long ull;
	typedef pair<int, int> pii;
	typedef long double ld;
	typedef pair<ll, ll> pll;
}

namespace numbers_operation {
	template<class T>
	inline T floor_mod(T a, const T &b) {
		a %= b;	
		if (a < 0) a += b;
		return a;
	}
}

using namespace numbers_operation;
using namespace typedefs;
using namespace random;

vector<ll> fib;

ll F(ll x, ll y) {
	if (x > y) swap(x, y);
	if (x == 0) return 0;
	return 1 + F(y % x, x);
}

ll maxF(ll x, ll y) {
	if (x > y) swap(x, y);
	for (int i = len(fib) - 2; ~i; i--)
		if (fib[i] <= x && fib[i + 1] <= y)
			return F(fib[i], fib[i + 1]);
	return -1;
}

bool is_good(ll x, ll y) {
	if (x > y) swap(x, y);
	return maxF(x, y) == F(x, y);
}

bool is_excellent(ll x, ll y) {
	if (x > y) swap(x, y);
	if (!is_good(x, y)) return false;
	return y <= fib[maxF(x, y) + 3];
}

vector<set<pll>> cur;
void init() {
	fib.pb(0LL);
	fib.pb(1LL);
	while (fib.back() < (ll)2e18) {
		fib.pb(fib.back() + fib[len(fib) - 2]);
	}
	cur.resize(len(fib));
	for (ll x = 0; x < 100; x++) {
		for (ll y = x + 1; y < 100; y++) {
			if (is_excellent(x, y) && maxF(x, y) == 1) {
				cur[1].emplace(x, y);
			}
		}
	}
	// print (int)is_excellent(2, 5);
	// print (int)F(2, 3);
	// print (int)is_good(1, 2);
	for (int i = 2; i < len(fib) - 1; i++) {
		for (pll p : cur[i - 1]) {
			if (p.x > p.y) swap(p.x, p.y);
			for (ll k = 1; is_excellent(p.y, p.x + k * p.y); k++) {
				cur[i].emplace(p.y, p.x + k * p.y);
				// cur[i].emplace(p.x + k * p.y, p.y);
			}
		}
	}
	// print cur[1];
	// print cur[2];
	// print cur[3];
	// print cur[4];
}

const ll MOD = 1e9 + 7;

ll mem[100][100];

void solve() {
	ll x, y;
	scan x, y;
	if (x > y) swap(x, y);
	ll k = maxF(x, y);
	if (k == 1) {
		ll rez = 0;
		if (2 <= x && 2 <= y)
			rez++;
		rez += x + y - 1;
		rez = floor_mod(rez, MOD);
		print k, rez;
	} else if (k >= 2) {
		ll rez = 0;
		for (pll base : cur[k - 1]) {
			if (base.y <= x && base.x + base.y <= y) {
				rez += (y - base.x) / base.y;
				rez = floor_mod(rez, MOD);
			}
			if (base.y <= y && base.x + base.y <= x) {
				rez += (x - base.x) / base.y;
				rez = floor_mod(rez, MOD);
			}
		}
		print k, rez;
	} else {
		if (mem[x][y] == -1) {
			mem[x][y] = 0;
			for (int a = 0; a <= x; a++)
				for (int b = 0; b <= y; b++)
					if (!(a == 0 && b == 0))
						if (F(a, b) == k)
							mem[x][y]++;
		}
		print k, mem[x][y];
	}
}

signed main(signed argc, char *argv[]) {
	memset(mem, -1, sizeof mem);
	init();
	// int _min = -1e9;
	// for (ll x = 1; x < 10; x++) {
	// 	for (ll y = 1; y < 10; y++) {
	// 		if (maxF(x, y) == 1) {
	// 			_min = max(_min, min(x, y));
	// 		}
	// 	}
	// }
	// print _min;
	int q;
	scan q;
	f(test, q) {
		solve();
	}
}


Measured memory_bytes: 4352