#include #include #include #include #include #include #include #include #include #include #include #include using namespace std; long long gcd(long long a,long long b) { if(b == 0)return a; return gcd(b,a%b); } int main() { long long a,b,c,d,p,m; int T; int iCase = 0; scanf("%d",&T); while(T--) { iCase++; scanf("%I64d%I64d%I64d%I64d%I64d%I64d",&a,&b,&c,&d,&p,&m); long long ans = 0; if(b+c <= a+d) { long long t1 = (a+c)%p; long long add = (m - t1 + p)%p; long long cnt1 = (a+c + add-m)/p; long long t2 = (b+c-1)%p; long long sub = (t2 - m + p)%p; long long cnt2 = (b+c-1-sub-m)/p; ans += (cnt2 - cnt1 + 1)*(1+add) + (cnt2 - cnt1 + 1)*(cnt2 - cnt1)/2 * p; t1 = (b+c)%p; add = (m - t1 + p)%p; cnt1 = (b+c+add-m)/p; t2 = (a+d)%p; sub = (t2 - m + p)%p; cnt2 = (a+d-sub-m)/p; ans += (cnt2 - cnt1 + 1)*(b-a+1); t1 = (a+d+1)%p; add = (m - t1 + p)%p; cnt1 = (a+d+1+add-m)/p; t2 = (b+d)%p; sub = (t2 - m + p)%p; cnt2 = (b+d-sub-m)/p; ans += (cnt2 - cnt1 + 1)*(1+sub) + (cnt2 - cnt1 + 1)*(cnt2 - cnt1)/2*p; } else { long long t1 = (a+c)%p; long long add = (m - t1 + p)%p; long long cnt1 = (a+c + add-m)/p; long long t2 = (a+d-1)%p; long long sub = (t2 - m + p)%p; long long cnt2 = (a+d-1-sub-m)/p; ans += (cnt2 - cnt1 + 1)*(1+add) + (cnt2 - cnt1 + 1)*(cnt2 - cnt1)/2 * p; t1 = (a+d)%p; add = (m - t1 + p)%p; cnt1 = (a+d+add-m)/p; t2 = (b+ c)%p; sub = (t2 - m + p)%p; cnt2 = (b+c-sub-m)/p; ans += (cnt2 - cnt1 + 1)*(d-c+1); t1 = (b+c+1)%p; add = (m - t1 + p)%p; cnt1 = (b+c+1+add-m)/p; t2 = (b+d)%p; sub = (t2 - m + p)%p; cnt2 = (b+d - sub-m)/p; ans += (cnt2 - cnt1 + 1)*(1+sub) + (cnt2 - cnt1 + 1)*(cnt2 - cnt1)/2*p; } long long tot = (b-a+1)*(d-c+1); long long GCD = gcd(ans,tot); ans /= GCD; tot /= GCD; printf("Case #%d: %I64d/%I64d\n",iCase,ans,tot); } return 0; }