#define _GLIBCXX_IOSTREAM
#include<bits/stdc++.h>

typedef unsigned int uint;
typedef long long ll;
typedef unsigned long long ull;
typedef double lf;
typedef long double llf;
typedef std::pair<int,int> pii;

#define xx first
#define yy second

template<typename T> inline T max(T a,T b){return a>b?a:b;}
template<typename T> inline T min(T a,T b){return a<b?a:b;}
template<typename T> inline T abs(T a){return a>0?a:-a;}
template<typename T> inline bool repr(T &a,T b){return a<b?a=b,1:0;}
template<typename T> inline bool repl(T &a,T b){return a>b?a=b,1:0;}
template<typename T> inline T gcd(T a,T b){T t;if(a<b){while(a){t=a;a=b%a;b=t;}return b;}else{while(b){t=b;b=a%b;a=t;}return a;}}
template<typename T> inline T sqr(T x){return x*x;}
#define mp(a,b) std::make_pair(a,b)
#define pb push_back
#define I inline
#define mset(a,b) memset(a,b,sizeof(a))
#define mcpy(a,b) memcpy(a,b,sizeof(a))

#define fo0(i,n) for(int i=0,i##end=n;i<i##end;i++)
#define fo1(i,n) for(int i=1,i##end=n;i<=i##end;i++)
#define fo(i,a,b) for(int i=a,i##end=b;i<=i##end;i++)
#define fd0(i,n) for(int i=(n)-1;~i;i--)
#define fd1(i,n) for(int i=n;i;i--)
#define fd(i,a,b) for(int i=a,i##end=b;i>=i##end;i--)
#define foe(i,x)for(__typeof(x.end())i=x.begin();i!=x.end();++i)

struct Cg{I char operator()(){return getchar();}};
struct Cp{I void operator()(char x){putchar(x);}};
#define OP operator
#define RT return *this;
#define RX x=0;char t=P();while((t<'0'||t>'9')&&t!='-')t=P();bool f=0;\
if(t=='-')t=P(),f=1;x=t-'0';for(t=P();t>='0'&&t<='9';t=P())x=x*10+t-'0'
#define RL if(t=='.'){lf u=0.1;for(t=P();t>='0'&&t<='9';t=P(),u*=0.1)x+=u*(t-'0');}if(f)x=-x
#define RU x=0;char t=P();while(t<'0'||t>'9')t=P();x=t-'0';for(t=P();t>='0'&&t<='9';t=P())x=x*10+t-'0'
#define TR *this,x;return x;
I bool IS(char x){return x==10||x==13||x==' ';}template<typename T>struct Fr{T P;I Fr&OP,(int &x)
{RX;if(f)x=-x;RT}I OP int(){int x;TR}I Fr&OP,(ll &x){RX;if(f)x=-x;RT}I OP ll(){ll x;TR}I Fr&OP,(char &x)
{for(x=P();IS(x);x=P());RT}I OP char(){char x;TR}I Fr&OP,(char *x){char t=P();for(;IS(t);t=P());if(~t){for(;!IS
(t)&&~t;t=P())*x++=t;}*x++=0;RT}I Fr&OP,(lf &x){RX;RL;RT}I OP lf(){lf x;TR}I Fr&OP,(llf &x){RX;RL;RT}I OP llf()
{llf x;TR}I Fr&OP,(uint &x){RU;RT}I OP uint(){uint x;TR}I Fr&OP,(ull &x){RU;RT}I OP ull(){ull x;TR}};Fr<Cg>in;
#define WI(S) if(x){if(x<0)P('-'),x=-x;char s[S],c=0;while(x)s[c++]=x%10+'0',x/=10;while(c--)P(s[c]);}else P('0')
#define WL if(y){lf t=0.5;for(int i=y;i--;)t*=0.1;if(x>=0)x+=t;else x-=t,P('-');*this,(ll)(abs(x));P('.');if(x<0)\
x=-x;while(y--){x*=10;x-=floor(x*0.1)*10;P(((int)x)%10+'0');}}else if(x>=0)*this,(ll)(x+0.5);else *this,(ll)(x-0.5);
#define WU(S) if(x){char s[S],c=0;while(x)s[c++]=x%10+'0',x/=10;while(c--)P(s[c]);}else P('0')
template<typename T>struct Fw{T P;I Fw&OP,(int x){WI(10);RT}I Fw&OP()(int x){WI(10);RT}I Fw&OP,(uint x){WU(10);RT}
I Fw&OP()(uint x){WU(10);RT}I Fw&OP,(ll x){WI(19);RT}I Fw&OP()(ll x){WI(19);RT}I Fw&OP,(ull x){WU(20);RT}I Fw&OP()
(ull x){WU(20);RT}I Fw&OP,(char x){P(x);RT}I Fw&OP()(char x){P(x);RT}I Fw&OP,(const char *x){while(*x)P(*x++);RT}
I Fw&OP()(const char *x){while(*x)P(*x++);RT}I Fw&OP()(lf x,int y){WL;RT}I Fw&OP()(llf x,int y){WL;RT}};Fw<Cp>out;

const int N=91,P=1000000007;
const ll lim=1000000000000000000;

ll f[N];
std::vector<std::pair<ll,ll> >g[N];

inline void dfs(int k,ll a,ll b)
{
	if(a<=lim&&b<=lim&&(a<f[k+1]||b<f[k+2])&&b<f[k+3])
	{
		g[k].pb(mp(a,b));
		fo1(i,4)dfs(k+1,b,a+b*i);
	}
}

/*inline int gcdcnt(ll a,ll b)
{
	if(a<b)std::swap(a,b);
	int r=0;
	while(b)
	{
		r++;
		ll t=b;
		b=a%b;
		a=t;
	}
	return r;
}*/

inline ll chk(ll a,ll b,ll x,ll y)
{
	//y x+ky
	//out,"chk:",a,' ',b,' ',x,' ',y,'\n';
	if(a<y)return 0;
	if(b<x)return 0;
	return (b-x)/y;
}

int main()
{
	f[0]=f[1]=1;
	fo(i,2,N-1)f[i]=f[i-1]+f[i-2];
	//fo0(i,N)out,f[i],'\n';
	fo(i,2,4)dfs(1,1,i);
	//fo0(i,N)foe(j,g[i])out,i,' ',j->xx,' ',j->yy,'\n';
	//fo0(i,N)foe(j,g[i])assert(gcdcnt(j->xx,j->yy)==i);
	//fo0(i,N)out,i,' ',g[i].size(),'\n';
	for(int T=in;T--;)
	{
		ll a,b;
		in,a,b;
		if(a>b)std::swap(a,b);
		if(a==1)
		{
			out,1,' ',b%P,'\n';
			continue;
		}
		if(b==2)
		{
			out,1,' ',4,'\n';
			continue;
		}
		int k=0;
		while(f[k]<=a&&f[k+1]<=b)k++;k-=2;
		int ans=0;
		foe(i,g[k])
		{
			ans=(ans+chk(a,b,i->xx,i->yy)+chk(b,a,i->xx,i->yy))%P;
		}
		out,k+1,' ',ans,'\n';
	}
}

Measured memory_bytes: 4224