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#define PROBLEM "https://yukicoder.me/problems/no/1358"
#include <iostream>
#include <algorithm>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <numeric>
#include <bitset>
#include <cmath>
static const int MOD = 1000000007;
using ll = long long;
using uint = unsigned;
using ull = unsigned long long;
using namespace std;
template<class T> constexpr T INF = ::numeric_limits<T>::max() / 32 * 15 + 208;
#include "../math/extgcd.cpp"
#include "../util/ifloor.cpp"
void solve(){
ll a, b, c, y;
cin >> a >> b >> c >> y;
if(a > c) swap(a, c);
if(b > c) swap(b, c);
ll ans = 0, g = gcd(a, b);
a /= g; b /= g;
ll p, q;
extgcd(a, b, p, q);
for (ll x2 = y; x2 >= 0; x2 -= c) {
if(x2 % g) continue;
ll x = x2/g;
ans += max(0LL, ifloor(q*x, a)-iceil(-p*x, b)+1);
}
cout << ans%MOD << "\n";
}
int main() {
int t;
cin >> t;
while(t--){
solve();
}
return 0;
}
#line 1 "test/yuki1358.test.cpp"
#define PROBLEM "https://yukicoder.me/problems/no/1358"
#include <iostream>
#include <algorithm>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <numeric>
#include <bitset>
#include <cmath>
static const int MOD = 1000000007;
using ll = long long;
using uint = unsigned;
using ull = unsigned long long;
using namespace std;
template<class T> constexpr T INF = ::numeric_limits<T>::max() / 32 * 15 + 208;
#line 1 "math/extgcd.cpp"
template<typename T>
T extgcd(T a, T b, T &x ,T &y){
for (T u = y = 1, v = x = 0; a; ) {
ll q = b/a;
swap(x -= q*u, u);
swap(y -= q*v, v);
swap(b -= q*a, a);
}
return b;
}
#line 1 "util/ifloor.cpp"
template<class T>T ifloor(T x, T y){
return x/y-(x%y ? (x < 0)^(y < 0) : 0);
}
template<class T>inline T iceil(T x, T y){
return x/y+(x%y ? (x >= 0)^(y < 0) : 0);
}
#line 22 "test/yuki1358.test.cpp"
void solve(){
ll a, b, c, y;
cin >> a >> b >> c >> y;
if(a > c) swap(a, c);
if(b > c) swap(b, c);
ll ans = 0, g = gcd(a, b);
a /= g; b /= g;
ll p, q;
extgcd(a, b, p, q);
for (ll x2 = y; x2 >= 0; x2 -= c) {
if(x2 % g) continue;
ll x = x2/g;
ans += max(0LL, ifloor(q*x, a)-iceil(-p*x, b)+1);
}
cout << ans%MOD << "\n";
}
int main() {
int t;
cin >> t;
while(t--){
solve();
}
return 0;
}