86 lines
2.6 KiB
C++
86 lines
2.6 KiB
C++
#include <stdio.h>
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#include <string.h>
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#include <iostream>
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#include <algorithm>
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#include <vector>
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#include <queue>
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#include <set>
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#include <map>
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#include <string>
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#include <math.h>
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#include <stdlib.h>
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#include <time.h>
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using namespace std;
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long long gcd(long long a,long long b)
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{
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if(b == 0)return a;
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return gcd(b,a%b);
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}
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int main()
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{
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long long a,b,c,d,p,m;
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int T;
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int iCase = 0;
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scanf("%d",&T);
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while(T--)
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{
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iCase++;
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scanf("%I64d%I64d%I64d%I64d%I64d%I64d",&a,&b,&c,&d,&p,&m);
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long long ans = 0;
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if(b+c <= a+d)
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{
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long long t1 = (a+c)%p;
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long long add = (m - t1 + p)%p;
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long long cnt1 = (a+c + add-m)/p;
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long long t2 = (b+c-1)%p;
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long long sub = (t2 - m + p)%p;
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long long cnt2 = (b+c-1-sub-m)/p;
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ans += (cnt2 - cnt1 + 1)*(1+add) + (cnt2 - cnt1 + 1)*(cnt2 - cnt1)/2 * p;
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t1 = (b+c)%p;
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add = (m - t1 + p)%p;
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cnt1 = (b+c+add-m)/p;
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t2 = (a+d)%p;
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sub = (t2 - m + p)%p;
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cnt2 = (a+d-sub-m)/p;
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ans += (cnt2 - cnt1 + 1)*(b-a+1);
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t1 = (a+d+1)%p;
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add = (m - t1 + p)%p;
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cnt1 = (a+d+1+add-m)/p;
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t2 = (b+d)%p;
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sub = (t2 - m + p)%p;
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cnt2 = (b+d-sub-m)/p;
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ans += (cnt2 - cnt1 + 1)*(1+sub) + (cnt2 - cnt1 + 1)*(cnt2 - cnt1)/2*p;
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}
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else
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{
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long long t1 = (a+c)%p;
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long long add = (m - t1 + p)%p;
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long long cnt1 = (a+c + add-m)/p;
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long long t2 = (a+d-1)%p;
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long long sub = (t2 - m + p)%p;
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long long cnt2 = (a+d-1-sub-m)/p;
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ans += (cnt2 - cnt1 + 1)*(1+add) + (cnt2 - cnt1 + 1)*(cnt2 - cnt1)/2 * p;
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t1 = (a+d)%p;
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add = (m - t1 + p)%p;
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cnt1 = (a+d+add-m)/p;
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t2 = (b+ c)%p;
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sub = (t2 - m + p)%p;
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cnt2 = (b+c-sub-m)/p;
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ans += (cnt2 - cnt1 + 1)*(d-c+1);
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t1 = (b+c+1)%p;
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add = (m - t1 + p)%p;
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cnt1 = (b+c+1+add-m)/p;
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t2 = (b+d)%p;
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sub = (t2 - m + p)%p;
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cnt2 = (b+d - sub-m)/p;
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ans += (cnt2 - cnt1 + 1)*(1+sub) + (cnt2 - cnt1 + 1)*(cnt2 - cnt1)/2*p;
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}
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long long tot = (b-a+1)*(d-c+1);
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long long GCD = gcd(ans,tot);
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ans /= GCD;
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tot /= GCD;
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printf("Case #%d: %I64d/%I64d\n",iCase,ans,tot);
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}
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return 0;
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}
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