本人数学太渣了...TAT...单是看题解就足足搭上了我一整个晚上的时间...

这里是一篇很棒的文库分析，献给迷茫的同学们：
https://wenku.baidu.com/view/3015a5fec8d376eeaeaa3126.html?from=search

但这里的解法虽然和题解中相似，但仍有区别。在我不懈的努力下（迷），我理解了为什么题解中的程序没有求指数差之积，但求出了相同答案。

1. 首先这里求的是k的约数，而不是k的质数，每一个数实际上是一堆（或一个）质数的乘积，本身就已是一个可能答案的组合（如果又判断是正确的活，就ans++）。
2. 但这个程序中还可能会遇到刚好是 sqrt(k) * sqrt(k) 的情况，这种情况下相当于会多判断一次，减去即可（至于为什么会是最后一个约数，那是因为 sqrt(k) * sqrt(k) == k 啊）。

很佩服这一种写法，反正我是写不出来的 .-. 。
代码就不盗了，尊重另外那个同学。

对b0分解质因数，枚举b0的约数。

代码：

#include<bits/stdc++.h>
using namespace std;
long long a0,a1,b0,b1;
long long gcd(long long a,long long b){return b ? gcd(b, a%b) : a;}
int check(long long x)
{
    if(gcd(x,a0)!=a1) return 0;
    if(gcd(x,b0)*b1/b0==x) return 1;
    return 0;
}
int main()
{
    int n;
    scanf("%d",&n);
    while(n--)
    {
        scanf("%lld%lld%lld%lld",&a0,&a1,&b0,&b1);
        int cnt=0;
        for(long long i=1;i*i<=b0;i++)
        {
            if(b0%i==0)
            {
                cnt+=check(b1/b0*i);
                if(i*i!=b0) cnt+=check(b1/i);
            }
        }
        printf("%d\n",cnt);
    }
    return 0;
} 

int 可以ac， 然而 ll 却t了。。。
ll真tm慢，蒟蒻真tm渣，数论真tm套路

枚举水一发~

测试数据 #0: Accepted, time = 0 ms, mem = 680 KiB, score = 10
测试数据 #1: Accepted, time = 15 ms, mem = 676 KiB, score = 10
测试数据 #2: Accepted, time = 0 ms, mem = 680 KiB, score = 10
测试数据 #3: Accepted, time = 0 ms, mem = 680 KiB, score = 10
测试数据 #4: Accepted, time = 0 ms, mem = 680 KiB, score = 10
测试数据 #5: Accepted, time = 15 ms, mem = 680 KiB, score = 10
测试数据 #6: Accepted, time = 15 ms, mem = 680 KiB, score = 10
测试数据 #7: Accepted, time = 31 ms, mem = 676 KiB, score = 10
测试数据 #8: Accepted, time = 109 ms, mem = 680 KiB, score = 10
测试数据 #9: Accepted, time = 250 ms, mem = 680 KiB, score = 10

Accepted, time = 435 ms, mem = 680 KiB, score = 100

#include <cstdio>
using namespace std;

int T;
int a[45000];

bool huzhi(int a,int b)
{
int r=a%b;
while (r)
{
a=b;
b=r;
r=a%b;
}
return b==1;
}

int main()
{
scanf("%d",&T);
for (int i=1;i<=T;i++)
{
int len=0;
int ans=0;
int a0,a1,b0,b1;
scanf("%d%d%d%d",&a0,&a1,&b0,&b1);
if (b1%a1) {printf("0\n");continue;}
int k1=a0/a1;
int k2=b1/b0;
int k3=b1/a1;
for (int j=1;j*j<=k3;j++)
if (k3%j==0) a[++len]=j;
for (int j=1;j<=len;j++)
{
if (huzhi(a[j],k1)&&huzhi(k3/a[j],k2)) ans++;
if (huzhi(k3/a[j],k1)&&huzhi(a[j],k2)) ans++;
}
if (a[len]==k3/a[len]&&huzhi(a[len],k1)&&huzhi(a[len],k2)) ans--;
printf("%d\n",ans);
}

return 0;
}

这个题哪里有这么长的程序
#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <string>
#include <vector>
#include <deque>
#include <stack>
#include <algorithm>

using namespace std;

int gcd(int a , int b)
{
return b==0?a:gcd(b, a%b);
}

int main(int argc, char *argv[]) {

int n , a0 , a1 , b0 , b1;

scanf("%d",&n);

while(n--)
{
scanf("%d%d%d%d",&a0,&a1,&b0,&b1);
if(a0%a1 || b1%b0) { cout<<"0\n"; continue; }
int ind1 = a0/a1 , ind2 = b1/b0;
int cnt = 0;
for(int i=1;i*i<=b1;i++)if(b1%i==0)
{
int x = i;
if(x%a1==0)
if(gcd(ind1, x/a1)==1 && gcd(ind2, b1/x)==1) cnt++;
x = b1/i;
if(x!=i && x%a1==0)
if(gcd(ind1, x/a1)==1 && gcd(ind2, b1/x)==1) cnt++;
}
cout<<cnt<<endl;
}

return 0;
}

#include<cstdio>
#include<cstdlib>
#include<cmath>
int a0[10000],a1[10000],b0[10000],b1[10000];
int n,m,js,k,q,s,c,d;
int gcd(int a,int b)
{
if(a%b==0) return b;
else return gcd(b,a%b);
}

int main()
{
scanf("%d",&n);
for(int i=1;i<=n;i++)
scanf("%d%d%d%d",&a0[i],&a1[i],&b0[i],&b1[i]);
for(int i=1;i<=n;i++)
{

m=sqrt(b1[i]);
for(int j=1;j<=m;j++)

{
if(b1[i]%j==0)
{
q=b1[i]/j;
k=gcd(a0[i],j);c=gcd(b0[i],j);
s=gcd(a0[i],q);d=gcd(b0[i],q);
if(k==a1[i]&&((b0[i]/c*j)==b1[i])) js++;
if(j!=q&&s==a1[i]&&(b0[i]/d)*q==b1[i]) js++;
}
}
printf("%d\n",js);
js=0;
}
return 0;
}

#include <iostream>
#include <cstring>
using namespace std;
const int maxprime_num=5001;
const int maxnum=44723;
int prime[maxprime_num];
int k=1;
void Eratosthenes(int n)
{
bool flag[maxnum]; memset(flag,true,sizeof(flag));
for(int i=2;i<=n;i++)
if(flag[i])
{
int j=i*i;

while(j<=n)
{
flag[j]=false;
j+=i;
}
}
for(int i=2;i<=n;i++) if(flag[i]) prime[k++]=i;
}
void calculate_one_step(int& a0,int& a1,int& b0,int& b1,int& result,int p)
{
int a0c=0,a1c=0,b0c=0,b1c=0;
while(a0%p==0) {a0/=p;a0c++;}
while(a1%p==0) {a1/=p;a1c++;}
while(b0%p==0) {b0/=p;b0c++;}
while(b1%p==0) {b1/=p;b1c++;}
if (a0c<a1c||b0c>b1c) result*=0;
else if (a0c==a1c&&b0c==b1c)
{
if (a1c<=b1c) result*=b1c-a1c+1;
else result*=0;
}
else if (a0c==a1c&&b0c<b1c)
{
if (a1c<=b1c) result*=1;
else result*=0;
}
else if (a0c>a1c&&b0c==b1c)
{
if (a1c<=b1c) result*=1;
else result*=0;
}
else
{
if (a1c==b1c) result*=1;
else result*=0;
}
}
int calculate(int a0,int a1,int b0,int b1)
{

if(a0%a1!=0||b1%b0!=0) return 0;
int result=1;
for(int i=1;i<=k;i++) calculate_one_step(a0,a1,b0,b1,result,prime[i]);
if(a0!=1)
calculate_one_step(a0,a1,b0,b1,result,a0);
else
if(b1!=1&&b1!=a0)
calculate_one_step(a0,a1,b0,b1,result,b1);
return result;
}

int main()
{
int n,a0,a1,b0,b1;
Eratosthenes(44722); k=k-1;
cin>>n;
for(int i=1;i<=n;i++)
{
cin>>a0>>a1>>b0>>b1;
long long ans=calculate(a0,a1,b0,b1);
cout<<ans<<endl;
}
return 0;
}

#include<cmath>
#include<iostream>
using namespace std;
int p[50000]={0},ia0,ia1,ib0,ib1;
long a0,a1,b0,b1,sum=1,low=0,high=0;
int e(long*a,long p)
{
int sum=0;
while(!(*a%p))
{
a/=p;
sum++;
}
return sum;
}
void r(int p)
{
ia0=e(&a0,p);
ia1=e(&a1,p);
ib0=e(&b0,p);
ib1=e(&b1,p);
low=ia1;
if(ib0<ib1)
low=ib1;
high=ib1;
if(ia0>ia1)
high=ia1;
if(high>=low)
sum=(high-low+1);
else
sum=0;
}
main()
{
bool l[50000]={0};
int i,j,k=0,n,t=223;
for(i=2;i<50000;i++)
if(!l[i])
{
p[k]=i;
k++;
if(i<=t)
for(j=i*i;j<=50000;j+=i)
l[j]=1;
}
cin>>n;
while(n--)
{
sum=1;
low=high=0;
cin>>a0>>a1>>b0>>b1;
for(i=0;p[i]*p[i]<=b1&&p[i];i++)
r(p[i]);
if(b1>1)
r(b1);
cout<<sum<<endl;
}
}

program son;
var n,i,t,ans,a0,a1,b0,b1:longint;
z,c:array[1..10000]of longint;
function gcd(a,b:longint):longint;
begin
if b=0 then exit(a) else exit(gcd(b,a mod b));
end;
procedure zhi(x:longint);
var i,h:longint;
begin
i:=2;h:=0;
while i<=sqrt(x) do
begin
if x mod i=0 then begin inc(h);z[h]:=i;c[h]:=1;x:=x div i;end;
while x mod i=0 do begin inc(c[h]);x:=x div i;end;
inc(i);
end;
if x<>1 then begin inc(h);z[h]:=x;c[h]:=1;end;
t:=h;
end;
procedure dfs(k,s0:longint);
var s,j:longint;
begin
if k>t then
begin
if (gcd(s0,a0)=a1)and((s0*b0)=(gcd(s0,b0)*b1))then inc(ans);exit;
end;
for j:=0 to c[k] do
begin
if j=0 then dfs(k+1,s0)
else begin s0:=s0*z[k];dfs( k+1,s0);end;
end;
end;

begin
readln(n);
for i:=1 to n do
begin
ans:=0;
readln(a0,a1,b0,b1);
zhi(b1);
dfs(1,1);
writeln(ans);
end;
end.

于是无聊的说一句题目是HankSon...

http://www.cnblogs.com/937337156Zhang/p/5823537.html
最清晰易懂解答

简单AC
```c++
#include <iostream>
#include <algorithm>
using namespace std;

int a[45000];

int main()
{
int t, a0, a1, b0, b1;
int i, t1, t2, t3;
int sum, ans;

cin >> t;
while(t --)
{
cin >> a0 >> a1 >> b0 >> b1;
if(b1 % a1)
{
cout << 0 << endl;
continue;
}

for(i = 1, sum = ans = 0, t1 = a0 / a1, t2 = b1 / b0, t3 = b1 / a1;i * i <= t3;i++)
if(t3 % i == 0)
a[++ sum] = i;

for(i = 1;i <= sum;i++)
{
if(__gcd( a[i], t1) == 1 && gcd(t3 / a[i], t2) == 1)
ans++;
if(gcd(t3 / a[i], t1) == 1 && __gcd( a[i], t2) == 1)
ans++;
}

if(a[sum] == t3 / a[sum] && __gcd(a[sum], t1) == 1 && __gcd(a[sum], t2) == 1)
ans --;

cout << ans << endl;
}

return 0;
}
```

楼下代码排版后：
```C++
#include <cstdio>
using namespace std;

int T;
int a[45000];

bool huzhi(int a,int b)
{
int r=a%b;
while (r)
{
a=b;
b=r;
r=a%b;
}
return b==1;
}

int main()
{
scanf("%d",&T);
for (int i=1;i<=T;i++)
{
int len=0;
int ans=0;
int a0,a1,b0,b1;
scanf("%d%d%d%d",&a0,&a1,&b0,&b1);
if (b1%a1) {printf("0\n");continue;}
int k1=a0/a1;
int k2=b1/b0;
int k3=b1/a1;
for (int j=1;j*j<=k3;j++)
if (k3%j==0) a[++len]=j;
for (int j=1;j<=len;j++)
{
if (huzhi(a[j],k1)&&huzhi(k3/a[j],k2)) ans++;
if (huzhi(k3/a[j],k1)&&huzhi(a[j],k2)) ans++;
}
if (a[len]==k3/a[len]&&huzhi(a[len],k1)&&huzhi(a[len],k2)) ans--;
printf("%d\n",ans);
}

return 0;
}
```

/*

Author : Slience_K
Belong : C++
Pro : NOIP 2009 - 2

*/
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
const int maxn = ( int )( 1e5 );
int a0 , a1 , b0 , b1 , tot , n , num , ans;
int p[ maxn ] , s1[ maxn ] , s2[ maxn ] , s3[ maxn ] , s4[ maxn ];
bool prime[ maxn + 5 ];
void Select_Prime(){
tot = 0;
for( int i = 2 ; i <= maxn ; i++ )
if ( !prime[ i ] ){
p[ ++tot ] = i;
for( int j = 2 * i ; j <= maxn ; j+= i )
prime[ j ] = true;
}
}
void Work( int x , int s[] ){
int tem = 1;
while( x != 1 ){
while( x % p[ tem ] == 0 ) x /= p[ tem ] , s[ tem ]++;
tem++;
////////////////////// 很重要 将大质数添加到质数数组末端
if ( x == 1 ) break; ////
if ( p[ tem ] == 0 )
p[ tem ] = x;
/////////////////////
}
num = max( num , tem );
}
void Init(){
memset( s1 , 0 , sizeof( s1 ) );
memset( s2 , 0 , sizeof( s2 ) );

memset( s3 , 0 , sizeof( s3 ) );
memset( s4 , 0 , sizeof( s4 ) );
ans = 1 , num = 0;
Work( a0 , s1 );
Work( a1 , s2 );
Work( b0 , s3 );
Work( b1 , s4 );
}
bool Slove(){
int l , r;
for( int i = 1 ; i <= num ; i++ ){
if (( s1[ i ] < s2[ i ] )||( s3[ i ] > s4[ i ] )||( s2[ i ] > s4[ i ] )) return false;
if (( s1[ i ] == s2[ i ] )&&( s3[ i ] == s4[ i ] ))
ans *= ( s4[ i ] - s2[ i ] + 1 );
if (( s2[ i ] != s4[ i ] )&&( s1[ i ] != s2[ i ] )&&( s3[ i ] != s4[ i ] )) return false;
}
return true;;
}
int main(){
Select_Prime();
scanf( "%d" , &n );
for( int T = 1 ; T <= n ; T++ ){
scanf( "%d%d%d%d" , &a0 , &a1 , &b0 , &b1 );
Init();
if ( Slove() ) printf( "%d\n" , ans );
else printf( "0\n" );
}
return 0;
}

#include<iostream>
#include<cmath>
using namespace std;

int a0, a1;

int gcd(int a, int b) {
return b == 0 ? a : gcd(b, a % b);
}

int solve(int a, int c) {
int b = c / a, tot = 0;
do {
int d = gcd(a, b);
a /= d;
b *= d;
} while (gcd(a, b) > 1);
for (int i = 1; i * i <= a; ++i) {
if (a % i == 0) {
int ans = b * i;
if (gcd(ans, a0) == a1)
++tot;
ans = b * (a / i);
if (i * i != a && gcd(ans, a0) == a1)
++tot;
}
}
return tot;
}

int main() {
int t;
cin >> t;
while (t--) {
int b0, b1;
cin >> a0 >> a1 >> b0 >> b1;
cout << solve(b0, b1) << endl;
}
return 0;
}

编译成功
测试数据 #0: Accepted, time = 15 ms, mem = 1124 KiB, score = 10
测试数据 #1: Accepted, time = 15 ms, mem = 1124 KiB, score = 10
测试数据 #2: Accepted, time = 15 ms, mem = 1128 KiB, score = 10
测试数据 #3: Accepted, time = 31 ms, mem = 1124 KiB, score = 10
测试数据 #4: Accepted, time = 31 ms, mem = 1128 KiB, score = 10
测试数据 #5: Accepted, time = 31 ms, mem = 1124 KiB, score = 10
测试数据 #6: Accepted, time = 62 ms, mem = 1120 KiB, score = 10
测试数据 #7: Accepted, time = 125 ms, mem = 1124 KiB, score = 10
测试数据 #8: Accepted, time = 468 ms, mem = 1124 KiB, score = 10
测试数据 #9: Accepted, time = 437 ms, mem = 1128 KiB, score = 10
Accepted, time = 1230 ms, mem = 1128 KiB, score = 100
label o_n_e;
var l1,l2,l3,l4,ans,tmpa0,tmpa1,tmpb0,tmpb1,time,tot,i,j,k,l,m,n,a1,a0,b1,b0:longint;
need,prime:array[0..50000]of longint;
function pri(n:longint):boolean;
var i,tmp:longint;
begin
tmp:=trunc(sqrt(n));
i:=1;
while prime[i]<=tmp do
begin
if n mod prime[i]=0 then exit(false);
inc(i);
end;
exit(true);
end;
begin

readln(n);

prime[1]:=2;
tot:=1;
for i:=3 to trunc(sqrt(2000000000)) do
if pri(i) then
begin
inc(tot);
prime[tot]:=i;
end;
for time:=1 to n do
begin
readln(a0,a1,b0,b1);
tmpa0:=a0;
tmpa1:=a1;
tmpb0:=b0;
tmpb1:=b1;
ans:=1;
fillchar(need,sizeof(need),255);
for i:=1 to tot do
begin
l1:=0;l2:=0;l3:=0;l4:=0;
while tmpa0 mod prime[i]=0 do
begin
if tmpa1 mod prime[i]=0 then begin inc(l2); tmpa1:=tmpa1 div prime[i];end;

tmpa0:=tmpa0 div prime[i];
inc(l1);
end;
if l1>l2 then need[i]:=l2;
while tmpb1 mod prime[i]=0 do
begin
if tmpb0 mod prime[i]=0 then begin inc(l3); tmpb0:=tmpb0 div prime[i];end;

tmpb1:=tmpb1 div prime[i];
inc(l4);
end;
if (l3<l4) then
if(need[i]<>l4)and(need[i]<>-1) then begin writeln(0); goto o_n_e;end
else need[i]:=l4;
if need[i]=-1 then
begin
if l4<l2 then begin writeln(0); goto o_n_e; end
else ans:=ans*(l4-l2+1) end;

end;

if tmpa0>1 then
begin
inc(i);
prime[i]:=tmpa0;
l1:=0;l2:=0;l3:=0;l4:=0;
while tmpa0 mod prime[i]=0 do
begin
if tmpa1 mod prime[i]=0 then begin inc(l2); tmpa1:=tmpa1 div prime[i];end;

tmpa0:=tmpa0 div prime[i];
inc(l1);
end;
if l1>l2 then need[i]:=l2;
while tmpb1 mod prime[i]=0 do
begin
if tmpb0 mod prime[i]=0 then begin inc(l3); tmpb0:=tmpb0 div prime[i];end;

tmpb1:=tmpb1 div prime[i];
inc(l4);
end;
if (l3<l4) then
if(need[i]<>l4)and(need[i]<>-1) then begin writeln(0); goto o_n_e;end
else need[i]:=l4;
if need[i]=-1 then
if l4<l2 then begin writeln(0); goto o_n_e; end
else ans:=ans*(l4-l2+1);
dec(i);
end;

if tmpb1>1 then
begin
inc(i);
prime[i]:=tmpb1;
l1:=0;l2:=0;l3:=0;l4:=0;
while tmpa0 mod prime[i]=0 do
begin
if tmpa1 mod prime[i]=0 then begin inc(l2); tmpa1:=tmpa1 div prime[i];end;

tmpa0:=tmpa0 div prime[i];
inc(l1);
end;
if l1>l2 then need[i]:=l2;
while tmpb1 mod prime[i]=0 do
begin
if tmpb0 mod prime[i]=0 then begin inc(l3); tmpb0:=tmpb0 div prime[i];end;

tmpb1:=tmpb1 div prime[i];
inc(l4);
end;
if (l3<l4) then
if(need[i]<>l4)and(need[i]<>-1) then begin writeln(0); goto o_n_e;end
else need[i]:=l4;
if need[i]=-1 then
if l4<l2 then begin writeln(0); goto o_n_e; end
else ans:=ans*(l4-l2+1);
dec(i);
end;
writeln(ans);
o_n_e:
end;

end.
{写得渣，勿喷}

const data:array[1..4648] of longint=(2,3,5,7,11,13,17,19,23,29,31,37,41,
43,47,53,59,61,67,71,73,79,83,89,97,101,
103,107,109,113,127,131,137,139,149,151,157,163,167,
173,179,181,191,193,197,199,211,223,227,229,233,239,
241,251,257,263,269,271,277,281,283,293,307,311,313,
317,331,337,347,349,353,359,367,373,379,383,389,397,
401,409,419,421,431,433,439,443,449,457,461,463,467,
479,487,491,499,503,509,521,523,541,547,557,563,569,
571,577,587,593,599,601,607,613,617,619,631,641,643,
647,653,659,661,673,677,683,691,701,709,719,727,733,
739,743,751,757,761,769,773,787,797,809,811,821,823,
827,829,839,853,857,859,863,877,881,883,887,907,911,
919,929,937,941,947,953,967,971,977,983,991,997,1009,
1013,1019,1021,1031,1033,1039,1049,1051,1061,1063,1069,1087,1091,
1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,1171,1181,1187,
1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,1279,1283,
1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,
1399,1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,
1483,1487,1489,1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,
1571,1579,1583,1597,1601,1607,1609,1613,1619,1621,1627,1637,1657,
1663,1667,1669,1693,1697,1699,1709,1721,1723,1733,1741,1747,1753,
1759,1777,1783,1787,1789,1801,1811,1823,1831,1847,1861,1867,1871,
1873,1877,1879,1889,1901,1907,1913,1931,1933,1949,1951,1973,1979,
1987,1993,1997,1999,2003,2011,2017,2027,2029,2039,2053,2063,2069,
2081,2083,2087,2089,2099,2111,2113,2129,2131,2137,2141,2143,2153,
2161,2179,2203,2207,2213,2221,2237,2239,2243,2251,2267,2269,2273,
2281,2287,2293,2297,2309,2311,2333,2339,2341,2347,2351,2357,2371,
2377,2381,2383,2389,2393,2399,2411,2417,2423,2437,2441,2447,2459,
2467,2473,2477,2503,2521,2531,2539,2543,2549,2551,2557,2579,2591,
2593,2609,2617,2621,2633,2647,2657,2659,2663,2671,2677,2683,2687,
2689,2693,2699,2707,2711,2713,2719,2729,2731,2741,2749,2753,2767,
2777,2789,2791,2797,2801,2803,2819,2833,2837,2843,2851,2857,2861,
2879,2887,2897,2903,2909,2917,2927,2939,2953,2957,2963,2969,2971,
2999,3001,3011,3019,3023,3037,3041,3049,3061,3067,3079,3083,3089,
3109,3119,3121,3137,3163,3167,3169,3181,3187,3191,3203,3209,3217,
3221,3229,3251,3253,3257,3259,3271,3299,3301,3307,3313,3319,3323,
3329,3331,3343,3347,3359,3361,3371,3373,3389,3391,3407,3413,3433,
3449,3457,3461,3463,3467,3469,3491,3499,3511,3517,3527,3529,3533,
3539,3541,3547,3557,3559,3571,3581,3583,3593,3607,3613,3617,3623,
3631,3637,3643,3659,3671,3673,3677,3691,3697,3701,3709,3719,3727,
3733,3739,3761,3767,3769,3779,3793,3797,3803,3821,3823,3833,3847,
3851,3853,3863,3877,3881,3889,3907,3911,3917,3919,3923,3929,3931,
3943,3947,3967,3989,4001,4003,4007,4013,4019,4021,4027,4049,4051,
4057,4073,4079,4091,4093,4099,4111,4127,4129,4133,4139,4153,4157,
4159,4177,4201,4211,4217,4219,4229,4231,4241,4243,4253,4259,4261,
4271,4273,4283,4289,4297,4327,4337,4339,4349,4357,4363,4373,4391,
4397,4409,4421,4423,4441,4447,4451,4457,4463,4481,4483,4493,4507,
4513,4517,4519,4523,4547,4549,4561,4567,4583,4591,4597,4603,4621,
4637,4639,4643,4649,4651,4657,4663,4673,4679,4691,4703,4721,4723,
4729,4733,4751,4759,4783,4787,4789,4793,4799,4801,4813,4817,4831,
4861,4871,4877,4889,4903,4909,4919,4931,4933,4937,4943,4951,4957,
4967,4969,4973,4987,4993,4999,5003,5009,5011,5021,5023,5039,5051,
5059,5077,5081,5087,5099,5101,5107,5113,5119,5147,5153,5167,5171,
5179,5189,5197,5209,5227,5231,5233,5237,5261,5273,5279,5281,5297,
5303,5309,5323,5333,5347,5351,5381,5387,5393,5399,5407,5413,5417,
5419,5431,5437,5441,5443,5449,5471,5477,5479,5483,5501,5503,5507,
5519,5521,5527,5531,5557,5563,5569,5573,5581,5591,5623,5639,5641,
5647,5651,5653,5657,5659,5669,5683,5689,5693,5701,5711,5717,5737,
5741,5743,5749,5779,5783,5791,5801,5807,5813,5821,5827,5839,5843,
5849,5851,5857,5861,5867,5869,5879,5881,5897,5903,5923,5927,5939,
5953,5981,5987,6007,6011,6029,6037,6043,6047,6053,6067,6073,6079,
6089,6091,6101,6113,6121,6131,6133,6143,6151,6163,6173,6197,6199,
6203,6211,6217,6221,6229,6247,6257,6263,6269,6271,6277,6287,6299,
6301,6311,6317,6323,6329,6337,6343,6353,6359,6361,6367,6373,6379,
6389,6397,6421,6427,6449,6451,6469,6473,6481,6491,6521,6529,6547,
6551,6553,6563,6569,6571,6577,6581,6599,6607,6619,6637,6653,6659,
6661,6673,6679,6689,6691,6701,6703,6709,6719,6733,6737,6761,6763,
6779,6781,6791,6793,6803,6823,6827,6829,6833,6841,6857,6863,6869,
6871,6883,6899,6907,6911,6917,6947,6949,6959,6961,6967,6971,6977,
6983,6991,6997,7001,7013,7019,7027,7039,7043,7057,7069,7079,7103,
7109,7121,7127,7129,7151,7159,7177,7187,7193,7207,7211,7213,7219,
7229,7237,7243,7247,7253,7283,7297,7307,7309,7321,7331,7333,7349,
7351,7369,7393,7411,7417,7433,7451,7457,7459,7477,7481,7487,7489,
7499,7507,7517,7523,7529,7537,7541,7547,7549,7559,7561,7573,7577,
7583,7589,7591,7603,7607,7621,7639,7643,7649,7669,7673,7681,7687,
7691,7699,7703,7717,7723,7727,7741,7753,7757,7759,7789,7793,7817,
7823,7829,7841,7853,7867,7873,7877,7879,7883,7901,7907,7919,7927,
7933,7937,7949,7951,7963,7993,8009,8011,8017,8039,8053,8059,8069,
8081,8087,8089,8093,8101,8111,8117,8123,8147,8161,8167,8171,8179,
8191,8209,8219,8221,8231,8233,8237,8243,8263,8269,8273,8287,8291,
8293,8297,8311,8317,8329,8353,8363,8369,8377,8387,8389,8419,8423,
8429,8431,8443,8447,8461,8467,8501,8513,8521,8527,8537,8539,8543,
8563,8573,8581,8597,8599,8609,8623,8627,8629,8641,8647,8663,8669,
8677,8681,8689,8693,8699,8707,8713,8719,8731,8737,8741,8747,8753,
8761,8779,8783,8803,8807,8819,8821,8831,8837,8839,8849,8861,8863,
8867,8887,8893,8923,8929,8933,8941,8951,8963,8969,8971,8999,9001,
9007,9011,9013,9029,9041,9043,9049,9059,9067,9091,9103,9109,9127,
9133,9137,9151,9157,9161,9173,9181,9187,9199,9203,9209,9221,9227,
9239,9241,9257,9277,9281,9283,9293,9311,9319,9323,9337,9341,9343,
9349,9371,9377,9391,9397,9403,9413,9419,9421,9431,9433,9437,9439,
9461,9463,9467,9473,9479,9491,9497,9511,9521,9533,9539,9547,9551,
9587,9601,9613,9619,9623,9629,9631,9643,9649,9661,9677,9679,9689,
9697,9719,9721,9733,9739,9743,9749,9767,9769,9781,9787,9791,9803,
9811,9817,9829,9833,9839,9851,9857,9859,9871,9883,9887,9901,9907,
9923,9929,9931,9941,9949,9967,9973,10007,10009,10037,10039,10061,10067,
10069,10079,10091,10093,10099,10103,10111,10133,10139,10141,10151,10159,10163,
10169,10177,10181,10193,10211,10223,10243,10247,10253,10259,10267,10271,10273,
10289,10301,10303,10313,10321,10331,10333,10337,10343,10357,10369,10391,10399,
10427,10429,10433,10453,10457,10459,10463,10477,10487,10499,10501,10513,10529,
10531,10559,10567,10589,10597,10601,10607,10613,10627,10631,10639,10651,10657,
10663,10667,10687,10691,10709,10711,10723,10729,10733,10739,10753,10771,10781,
10789,10799,10831,10837,10847,10853,10859,10861,10867,10883,10889,10891,10903,
10909,10937,10939,10949,10957,10973,10979,10987,10993,11003,11027,11047,11057,
11059,11069,11071,11083,11087,11093,11113,11117,11119,11131,11149,11159,11161,
11171,11173,11177,11197,11213,11239,11243,11251,11257,11261,11273,11279,11287,
11299,11311,11317,11321,11329,11351,11353,11369,11383,11393,11399,11411,11423,
11437,11443,11447,11467,11471,11483,11489,11491,11497,11503,11519,11527,11549,
11551,11579,11587,11593,11597,11617,11621,11633,11657,11677,11681,11689,11699,
11701,11717,11719,11731,11743,11777,11779,11783,11789,11801,11807,11813,11821,
11827,11831,11833,11839,11863,11867,11887,11897,11903,11909,11923,11927,11933,
11939,11941,11953,11959,11969,11971,11981,11987,12007,12011,12037,12041,12043,
12049,12071,12073,12097,12101,12107,12109,12113,12119,12143,12149,12157,12161,
12163,12197,12203,12211,12227,12239,12241,12251,12253,12263,12269,12277,12281,
12289,12301,12323,12329,12343,12347,12373,12377,12379,12391,12401,12409,12413,
12421,12433,12437,12451,12457,12473,12479,12487,12491,12497,12503,12511,12517,
12527,12539,12541,12547,12553,12569,12577,12583,12589,12601,12611,12613,12619,
12637,12641,12647,12653,12659,12671,12689,12697,12703,12713,12721,12739,12743,
12757,12763,12781,12791,12799,12809,12821,12823,12829,12841,12853,12889,12893,
12899,12907,12911,12917,12919,12923,12941,12953,12959,12967,12973,12979,12983,
13001,13003,13007,13009,13033,13037,13043,13049,13063,13093,13099,13103,13109,
13121,13127,13147,13151,13159,13163,13171,13177,13183,13187,13217,13219,13229,
13241,13249,13259,13267,13291,13297,13309,13313,13327,13331,13337,13339,13367,
13381,13397,13399,13411,13417,13421,13441,13451,13457,13463,13469,13477,13487,
13499,13513,13523,13537,13553,13567,13577,13591,13597,13613,13619,13627,13633,
13649,13669,13679,13681,13687,13691,13693,13697,13709,13711,13721,13723,13729,
13751,13757,13759,13763,13781,13789,13799,13807,13829,13831,13841,13859,13873,
13877,13879,13883,13901,13903,13907,13913,13921,13931,13933,13963,13967,13997,
13999,14009,14011,14029,14033,14051,14057,14071,14081,14083,14087,14107,14143,
14149,14153,14159,14173,14177,14197,14207,14221,14243,14249,14251,14281,14293,
14303,14321,14323,14327,14341,14347,14369,14387,14389,14401,14407,14411,14419,
14423,14431,14437,14447,14449,14461,14479,14489,14503,14519,14533,14537,14543,
14549,14551,14557,14561,14563,14591,14593,14621,14627,14629,14633,14639,14653,
14657,14669,14683,14699,14713,14717,14723,14731,14737,14741,14747,14753,14759,
14767,14771,14779,14783,14797,14813,14821,14827,14831,14843,14851,14867,14869,
14879,14887,14891,14897,14923,14929,14939,14947,14951,14957,14969,14983,15013,
15017,15031,15053,15061,15073,15077,15083,15091,15101,15107,15121,15131,15137,
15139,15149,15161,15173,15187,15193,15199,15217,15227,15233,15241,15259,15263,
15269,15271,15277,15287,15289,15299,15307,15313,15319,15329,15331,15349,15359,
15361,15373,15377,15383,15391,15401,15413,15427,15439,15443,15451,15461,15467,
15473,15493,15497,15511,15527,15541,15551,15559,15569,15581,15583,15601,15607,
15619,15629,15641,15643,15647,15649,15661,15667,15671,15679,15683,15727,15731,
15733,15737,15739,15749,15761,15767,15773,15787,15791,15797,15803,15809,15817,
15823,15859,15877,15881,15887,15889,15901,15907,15913,15919,15923,15937,15959,
15971,15973,15991,16001,16007,16033,16057,16061,16063,16067,16069,16073,16087,
16091,16097,16103,16111,16127,16139,16141,16183,16187,16189,16193,16217,16223,
16229,16231,16249,16253,16267,16273,16301,16319,16333,16339,16349,16361,16363,
16369,16381,16411,16417,16421,16427,16433,16447,16451,16453,16477,16481,16487,
16493,16519,16529,16547,16553,16561,16567,16573,16603,16607,16619,16631,16633,
16649,16651,16657,16661,16673,16691,16693,16699,16703,16729,16741,16747,16759,
16763,16787,16811,16823,16829,16831,16843,16871,16879,16883,16889,16901,16903,
16921,16927,16931,16937,16943,16963,16979,16981,16987,16993,17011,17021,17027,
17029,17033,17041,17047,17053,17077,17093,17099,17107,17117,17123,17137,17159,
17167,17183,17189,17191,17203,17207,17209,17231,17239,17257,17291,17293,17299,
17317,17321,17327,17333,17341,17351,17359,17377,17383,17387,17389,17393,17401,
17417,17419,17431,17443,17449,17467,17471,17477,17483,17489,17491,17497,17509,
17519,17539,17551,17569,17573,17579,17581,17597,17599,17609,17623,17627,17657,
17659,17669,17681,17683,17707,17713,17729,17737,17747,17749,17761,17783,17789,
17791,17807,17827,17837,17839,17851,17863,17881,17891,17903,17909,17911,17921,
17923,17929,17939,17957,17959,17971,17977,17981,17987,17989,18013,18041,18043,
18047,18049,18059,18061,18077,18089,18097,18119,18121,18127,18131,18133,18143,
18149,18169,18181,18191,18199,18211,18217,18223,18229,18233,18251,18253,18257,
18269,18287,18289,18301,18307,18311,18313,18329,18341,18353,18367,18371,18379,
18397,18401,18413,18427,18433,18439,18443,18451,18457,18461,18481,18493,18503,
18517,18521,18523,18539,18541,18553,18583,18587,18593,18617,18637,18661,18671,
18679,18691,18701,18713,18719,18731,18743,18749,18757,18773,18787,18793,18797,
18803,18839,18859,18869,18899,18911,18913,18917,18919,18947,18959,18973,18979,
19001,19009,19013,19031,19037,19051,19069,19073,19079,19081,19087,19121,19139,
19141,19157,19163,19181,19183,19207,19211,19213,19219,19231,19237,19249,19259,
19267,19273,19289,19301,19309,19319,19333,19373,19379,19381,19387,19391,19403,
19417,19421,19423,19427,19429,19433,19441,19447,19457,19463,19469,19471,19477,
19483,19489,19501,19507,19531,19541,19543,19553,19559,19571,19577,19583,19597,
19603,19609,19661,19681,19687,19697,19699,19709,19717,19727,19739,19751,19753,
19759,19763,19777,19793,19801,19813,19819,19841,19843,19853,19861,19867,19889,
19891,19913,19919,19927,19937,19949,19961,19963,19973,19979,19991,19993,19997,
20011,20021,20023,20029,20047,20051,20063,20071,20089,20101,20107,20113,20117,
20123,20129,20143,20147,20149,20161,20173,20177,20183,20201,20219,20231,20233,
20249,20261,20269,20287,20297,20323,20327,20333,20341,20347,20353,20357,20359,
20369,20389,20393,20399,20407,20411,20431,20441,20443,20477,20479,20483,20507,
20509,20521,20533,20543,20549,20551,20563,20593,20599,20611,20627,20639,20641,
20663,20681,20693,20707,20717,20719,20731,20743,20747,20749,20753,20759,20771,
20773,20789,20807,20809,20849,20857,20873,20879,20887,20897,20899,20903,20921,
20929,20939,20947,20959,20963,20981,20983,21001,21011,21013,21017,21019,21023,
21031,21059,21061,21067,21089,21101,21107,21121,21139,21143,21149,21157,21163,
21169,21179,21187,21191,21193,21211,21221,21227,21247,21269,21277,21283,21313,
21317,21319,21323,21341,21347,21377,21379,21383,21391,21397,21401,21407,21419,
21433,21467,21481,21487,21491,21493,21499,21503,21517,21521,21523,21529,21557,
21559,21563,21569,21577,21587,21589,21599,21601,21611,21613,21617,21647,21649,
21661,21673,21683,21701,21713,21727,21737,21739,21751,21757,21767,21773,21787,
21799,21803,21817,21821,21839,21841,21851,21859,21863,21871,21881,21893,21911,
21929,21937,21943,21961,21977,21991,21997,22003,22013,22027,22031,22037,22039,
22051,22063,22067,22073,22079,22091,22093,22109,22111,22123,22129,22133,22147,
22153,22157,22159,22171,22189,22193,22229,22247,22259,22271,22273,22277,22279,
22283,22291,22303,22307,22343,22349,22367,22369,22381,22391,22397,22409,22433,
22441,22447,22453,22469,22481,22483,22501,22511,22531,22541,22543,22549,22567,
22571,22573,22613,22619,22621,22637,22639,22643,22651,22669,22679,22691,22697,
22699,22709,22717,22721,22727,22739,22741,22751,22769,22777,22783,22787,22807,
22811,22817,22853,22859,22861,22871,22877,22901,22907,22921,22937,22943,22961,
22963,22973,22993,23003,23011,23017,23021,23027,23029,23039,23041,23053,23057,
23059,23063,23071,23081,23087,23099,23117,23131,23143,23159,23167,23173,23189,
23197,23201,23203,23209,23227,23251,23269,23279,23291,23293,23297,23311,23321,
23327,23333,23339,23357,23369,23371,23399,23417,23431,23447,23459,23473,23497,
23509,23531,23537,23539,23549,23557,23561,23563,23567,23581,23593,23599,23603,
23609,23623,23627,23629,23633,23663,23669,23671,23677,23687,23689,23719,23741,
23743,23747,23753,23761,23767,23773,23789,23801,23813,23819,23827,23831,23833,
23857,23869,23873,23879,23887,23893,23899,23909,23911,23917,23929,23957,23971,
23977,23981,23993,24001,24007,24019,24023,24029,24043,24049,24061,24071,24077,
24083,24091,24097,24103,24107,24109,24113,24121,24133,24137,24151,24169,24179,
24181,24197,24203,24223,24229,24239,24247,24251,24281,24317,24329,24337,24359,
24371,24373,24379,24391,24407,24413,24419,24421,24439,24443,24469,24473,24481,
24499,24509,24517,24527,24533,24547,24551,24571,24593,24611,24623,24631,24659,
24671,24677,24683,24691,24697,24709,24733,24749,24763,24767,24781,24793,24799,
24809,24821,24841,24847,24851,24859,24877,24889,24907,24917,24919,24923,24943,
24953,24967,24971,24977,24979,24989,25013,25031,25033,25037,25057,25073,25087,
25097,25111,25117,25121,25127,25147,25153,25163,25169,25171,25183,25189,25219,
25229,25237,25243,25247,25253,25261,25301,25303,25307,25309,25321,25339,25343,
25349,25357,25367,25373,25391,25409,25411,25423,25439,25447,25453,25457,25463,
25469,25471,25523,25537,25541,25561,25577,25579,25583,25589,25601,25603,25609,
25621,25633,25639,25643,25657,25667,25673,25679,25693,25703,25717,25733,25741,
25747,25759,25763,25771,25793,25799,25801,25819,25841,25847,25849,25867,25873,
25889,25903,25913,25919,25931,25933,25939,25943,25951,25969,25981,25997,25999,
26003,26017,26021,26029,26041,26053,26083,26099,26107,26111,26113,26119,26141,
26153,26161,26171,26177,26183,26189,26203,26209,26227,26237,26249,26251,26261,
26263,26267,26293,26297,26309,26317,26321,26339,26347,26357,26371,26387,26393,
26399,26407,26417,26423,26431,26437,26449,26459,26479,26489,26497,26501,26513,
26539,26557,26561,26573,26591,26597,26627,26633,26641,26647,26669,26681,26683,
26687,26693,26699,26701,26711,26713,26717,26723,26729,26731,26737,26759,26777,
26783,26801,26813,26821,26833,26839,26849,26861,26863,26879,26881,26891,26893,
26903,26921,26927,26947,26951,26953,26959,26981,26987,26993,27011,27017,27031,
27043,27059,27061,27067,27073,27077,27091,27103,27107,27109,27127,27143,27179,
27191,27197,27211,27239,27241,27253,27259,27271,27277,27281,27283,27299,27329,
27337,27361,27367,27397,27407,27409,27427,27431,27437,27449,27457,27479,27481,
27487,27509,27527,27529,27539,27541,27551,27581,27583,27611,27617,27631,27647,
27653,27673,27689,27691,27697,27701,27733,27737,27739,27743,27749,27751,27763,
27767,27773,27779,27791,27793,27799,27803,27809,27817,27823,27827,27847,27851,
27883,27893,27901,27917,27919,27941,27943,27947,27953,27961,27967,27983,27997,
28001,28019,28027,28031,28051,28057,28069,28081,28087,28097,28099,28109,28111,
28123,28151,28163,28181,28183,28201,28211,28219,28229,28277,28279,28283,28289,
28297,28307,28309,28319,28349,28351,28387,28393,28403,28409,28411,28429,28433,
28439,28447,28463,28477,28493,28499,28513,28517,28537,28541,28547,28549,28559,
28571,28573,28579,28591,28597,28603,28607,28619,28621,28627,28631,28643,28649,
28657,28661,28663,28669,28687,28697,28703,28711,28723,28729,28751,28753,28759,
28771,28789,28793,28807,28813,28817,28837,28843,28859,28867,28871,28879,28901,
28909,28921,28927,28933,28949,28961,28979,29009,29017,29021,29023,29027,29033,
29059,29063,29077,29101,29123,29129,29131,29137,29147,29153,29167,29173,29179,
29191,29201,29207,29209,29221,29231,29243,29251,29269,29287,29297,29303,29311,
29327,29333,29339,29347,29363,29383,29387,29389,29399,29401,29411,29423,29429,
29437,29443,29453,29473,29483,29501,29527,29531,29537,29567,29569,29573,29581,
29587,29599,29611,29629,29633,29641,29663,29669,29671,29683,29717,29723,29741,
29753,29759,29761,29789,29803,29819,29833,29837,29851,29863,29867,29873,29879,
29881,29917,29921,29927,29947,29959,29983,29989,30011,30013,30029,30047,30059,
30071,30089,30091,30097,30103,30109,30113,30119,30133,30137,30139,30161,30169,
30181,30187,30197,30203,30211,30223,30241,30253,30259,30269,30271,30293,30307,
30313,30319,30323,30341,30347,30367,30389,30391,30403,30427,30431,30449,30467,
30469,30491,30493,30497,30509,30517,30529,30539,30553,30557,30559,30577,30593,
30631,30637,30643,30649,30661,30671,30677,30689,30697,30703,30707,30713,30727,
30757,30763,30773,30781,30803,30809,30817,30829,30839,30841,30851,30853,30859,
30869,30871,30881,30893,30911,30931,30937,30941,30949,30971,30977,30983,31013,
31019,31033,31039,31051,31063,31069,31079,31081,31091,31121,31123,31139,31147,
31151,31153,31159,31177,31181,31183,31189,31193,31219,31223,31231,31237,31247,
31249,31253,31259,31267,31271,31277,31307,31319,31321,31327,31333,31337,31357,
31379,31387,31391,31393,31397,31469,31477,31481,31489,31511,31513,31517,31531,
31541,31543,31547,31567,31573,31583,31601,31607,31627,31643,31649,31657,31663,
31667,31687,31699,31721,31723,31727,31729,31741,31751,31769,31771,31793,31799,
31817,31847,31849,31859,31873,31883,31891,31907,31957,31963,31973,31981,31991,
32003,32009,32027,32029,32051,32057,32059,32063,32069,32077,32083,32089,32099,
32117,32119,32141,32143,32159,32173,32183,32189,32191,32203,32213,32233,32237,
32251,32257,32261,32297,32299,32303,32309,32321,32323,32327,32341,32353,32359,
32363,32369,32371,32377,32381,32401,32411,32413,32423,32429,32441,32443,32467,
32479,32491,32497,32503,32507,32531,32533,32537,32561,32563,32569,32573,32579,
32587,32603,32609,32611,32621,32633,32647,32653,32687,32693,32707,32713,32717,
32719,32749,32771,32779,32783,32789,32797,32801,32803,32831,32833,32839,32843,
32869,32887,32909,32911,32917,32933,32939,32941,32957,32969,32971,32983,32987,
32993,32999,33013,33023,33029,33037,33049,33053,33071,33073,33083,33091,33107,
33113,33119,33149,33151,33161,33179,33181,33191,33199,33203,33211,33223,33247,
33287,33289,33301,33311,33317,33329,33331,33343,33347,33349,33353,33359,33377,
33391,33403,33409,33413,33427,33457,33461,33469,33479,33487,33493,33503,33521,
33529,33533,33547,33563,33569,33577,33581,33587,33589,33599,33601,33613,33617,
33619,33623,33629,33637,33641,33647,33679,33703,33713,33721,33739,33749,33751,
33757,33767,33769,33773,33791,33797,33809,33811,33827,33829,33851,33857,33863,
33871,33889,33893,33911,33923,33931,33937,33941,33961,33967,33997,34019,34031,
34033,34039,34057,34061,34123,34127,34129,34141,34147,34157,34159,34171,34183,
34211,34213,34217,34231,34253,34259,34261,34267,34273,34283,34297,34301,34303,
34313,34319,34327,34337,34351,34361,34367,34369,34381,34403,34421,34429,34439,
34457,34469,34471,34483,34487,34499,34501,34511,34513,34519,34537,34543,34549,
34583,34589,34591,34603,34607,34613,34631,34649,34651,34667,34673,34679,34687,
34693,34703,34721,34729,34739,34747,34757,34759,34763,34781,34807,34819,34841,
34843,34847,34849,34871,34877,34883,34897,34913,34919,34939,34949,34961,34963,
34981,35023,35027,35051,35053,35059,35069,35081,35083,35089,35099,35107,35111,
35117,35129,35141,35149,35153,35159,35171,35201,35221,35227,35251,35257,35267,
35279,35281,35291,35311,35317,35323,35327,35339,35353,35363,35381,35393,35401,
35407,35419,35423,35437,35447,35449,35461,35491,35507,35509,35521,35527,35531,
35533,35537,35543,35569,35573,35591,35593,35597,35603,35617,35671,35677,35729,
35731,35747,35753,35759,35771,35797,35801,35803,35809,35831,35837,35839,35851,
35863,35869,35879,35897,35899,35911,35923,35933,35951,35963,35969,35977,35983,
35993,35999,36007,36011,36013,36017,36037,36061,36067,36073,36083,36097,36107,
36109,36131,36137,36151,36161,36187,36191,36209,36217,36229,36241,36251,36263,
36269,36277,36293,36299,36307,36313,36319,36341,36343,36353,36373,36383,36389,
36433,36451,36457,36467,36469,36473,36479,36493,36497,36523,36527,36529,36541,
36551,36559,36563,36571,36583,36587,36599,36607,36629,36637,36643,36653,36671,
36677,36683,36691,36697,36709,36713,36721,36739,36749,36761,36767,36779,36781,
36787,36791,36793,36809,36821,36833,36847,36857,36871,36877,36887,36899,36901,
36913,36919,36923,36929,36931,36943,36947,36973,36979,36997,37003,37013,37019,
37021,37039,37049,37057,37061,37087,37097,37117,37123,37139,37159,37171,37181,
37189,37199,37201,37217,37223,37243,37253,37273,37277,37307,37309,37313,37321,
37337,37339,37357,37361,37363,37369,37379,37397,37409,37423,37441,37447,37463,
37483,37489,37493,37501,37507,37511,37517,37529,37537,37547,37549,37561,37567,
37571,37573,37579,37589,37591,37607,37619,37633,37643,37649,37657,37663,37691,
37693,37699,37717,37747,37781,37783,37799,37811,37813,37831,37847,37853,37861,
37871,37879,37889,37897,37907,37951,37957,37963,37967,37987,37991,37993,37997,
38011,38039,38047,38053,38069,38083,38113,38119,38149,38153,38167,38177,38183,
38189,38197,38201,38219,38231,38237,38239,38261,38273,38281,38287,38299,38303,
38317,38321,38327,38329,38333,38351,38371,38377,38393,38431,38447,38449,38453,
38459,38461,38501,38543,38557,38561,38567,38569,38593,38603,38609,38611,38629,
38639,38651,38653,38669,38671,38677,38693,38699,38707,38711,38713,38723,38729,
38737,38747,38749,38767,38783,38791,38803,38821,38833,38839,38851,38861,38867,
38873,38891,38903,38917,38921,38923,38933,38953,38959,38971,38977,38993,39019,
39023,39041,39043,39047,39079,39089,39097,39103,39107,39113,39119,39133,39139,
39157,39161,39163,39181,39191,39199,39209,39217,39227,39229,39233,39239,39241,
39251,39293,39301,39313,39317,39323,39341,39343,39359,39367,39371,39373,39383,
39397,39409,39419,39439,39443,39451,39461,39499,39503,39509,39511,39521,39541,
39551,39563,39569,39581,39607,39619,39623,39631,39659,39667,39671,39679,39703,
39709,39719,39727,39733,39749,39761,39769,39779,39791,39799,39821,39827,39829,
39839,39841,39847,39857,39863,39869,39877,39883,39887,39901,39929,39937,39953,
39971,39979,39983,39989,40009,40013,40031,40037,40039,40063,40087,40093,40099,
40111,40123,40127,40129,40151,40153,40163,40169,40177,40189,40193,40213,40231,
40237,40241,40253,40277,40283,40289,40343,40351,40357,40361,40387,40423,40427,
40429,40433,40459,40471,40483,40487,40493,40499,40507,40519,40529,40531,40543,
40559,40577,40583,40591,40597,40609,40627,40637,40639,40693,40697,40699,40709,
40739,40751,40759,40763,40771,40787,40801,40813,40819,40823,40829,40841,40847,
40849,40853,40867,40879,40883,40897,40903,40927,40933,40939,40949,40961,40973,
40993,41011,41017,41023,41039,41047,41051,41057,41077,41081,41113,41117,41131,
41141,41143,41149,41161,41177,41179,41183,41189,41201,41203,41213,41221,41227,
41231,41233,41243,41257,41263,41269,41281,41299,41333,41341,41351,41357,41381,
41387,41389,41399,41411,41413,41443,41453,41467,41479,41491,41507,41513,41519,
41521,41539,41543,41549,41579,41593,41597,41603,41609,41611,41617,41621,41627,
41641,41647,41651,41659,41669,41681,41687,41719,41729,41737,41759,41761,41771,
41777,41801,41809,41813,41843,41849,41851,41863,41879,41887,41893,41897,41903,
41911,41927,41941,41947,41953,41957,41959,41969,41981,41983,41999,42013,42017,
42019,42023,42043,42061,42071,42073,42083,42089,42101,42131,42139,42157,42169,
42179,42181,42187,42193,42197,42209,42221,42223,42227,42239,42257,42281,42283,
42293,42299,42307,42323,42331,42337,42349,42359,42373,42379,42391,42397,42403,
42407,42409,42433,42437,42443,42451,42457,42461,42463,42467,42473,42487,42491,
42499,42509,42533,42557,42569,42571,42577,42589,42611,42641,42643,42649,42667,
42677,42683,42689,42697,42701,42703,42709,42719,42727,42737,42743,42751,42767,
42773,42787,42793,42797,42821,42829,42839,42841,42853,42859,42863,42899,42901,
42923,42929,42937,42943,42953,42961,42967,42979,42989,43003,43013,43019,43037,
43049,43051,43063,43067,43093,43103,43117,43133,43151,43159,43177,43189,43201,
43207,43223,43237,43261,43271,43283,43291,43313,43319,43321,43331,43391,43397,
43399,43403,43411,43427,43441,43451,43457,43481,43487,43499,43517,43541,43543,
43573,43577,43579,43591,43597,43607,43609,43613,43627,43633,43649,43651,43661,
43669,43691,43711,43717,43721,43753,43759,43777,43781,43783,43787,43789,43793,
43801,43853,43867,43889,43891,43913,43933,43943,43951,43961,43963,43969,43973,
43987,43991,43997,44017,44021,44027,44029,44041,44053,44059,44071,44087,44089,
44101,44111,44119,44123,44129,44131,44159,44171,44179,44189,44201,44203,44207,
44221,44249,44257,44263,44267,44269,44273,44279,44281,44293,44351,44357,44371,
44381,44383,44389,44417,44449,44453,44483,44491,44497,44501,44507,44519,44531,
44533,44537,44543,44549,44563,44579,44587,44617,44621,44623,44633,44641,44647,
44651,44657,44683,44687,44699,44701,44711);
var
n,l,i,j1,a0,a1,b0,b1,k,cnt1,cnt2,long:longint;
s:int64;
a:array[1..10000] of longint;
go:boolean;
b,c,x,y:array[0..10000] of longint;
f:array[0..10000] of boolean;
begin
readln(n);
long:=4648;
for i:=1 to 4648 do
a[i]:=data[i];
for l:=1 to n do
begin
readln(a0,a1,b0,b1);
i:=1;
j1:=0;
go:=false;
while b1>1 do
begin
if b1 mod a[i]=0 then
begin
inc(j1);
b[j1]:=a[i];
c[j1]:=0;
while b1 mod a[i]=0 do
begin
inc(c[j1]);
b1:=b1 div a[i];
end;
end;
inc(i);
if i=long then
begin
inc(j1);
b[j1]:=b1;
c[j1]:=1;
break;
end;
end;
for i:=1 to j1 do
begin
k:=0;
while b0 mod b[i]=0 do
begin
inc(k);
b0:=b0 div b[i];
end;
if k>c[i] then begin go:=true;break;end;
if k=c[i] then
begin
x[i]:=0;
y[i]:=c[i];
end
else begin
x[i]:=c[i];
y[i]:=c[i];
end;
end;
if go then begin writeln(0);continue;end;
s:=1;
for i:=1 to j1 do
if a0 mod b[i]=0 then
begin
cnt1:=0;cnt2:=0;
while a0 mod b[i]=0 do
begin
a0:=a0 div b[i];
inc(cnt1);
end;
while a1 mod b[i]=0 do
begin
a1:=a1 div b[i];
inc(cnt2);
end;
if (cnt1<cnt2) or (c[i]<cnt2) then begin go:=true;break;end;
if cnt1=cnt2 then
begin
if cnt2>x[i] then
x[i]:=cnt2;
end
else
begin
if (cnt2>=x[i]) and (cnt2<=y[i]) then
begin
x[i]:=cnt2;
y[i]:=cnt2;
end
else begin go:=true;break;end;
end;
end;
if go or (a1>1) then begin writeln(0);continue;end;
for i:=1 to j1 do
if y[i]<x[i] then
begin
go:=true;
break;
end
else s:=s*(y[i]-x[i]+1);
if go then begin writeln(0);continue;end;
writeln(s);
end;
end.