This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <stdio.h>
#include <algorithm>
#include <map>
using namespace std;
long long a,b,p,q;
std::map<pair<long long, long long>, long long> chk;
long long go(long long a, long long b)
{
	if (a == 0 || b == 0) return 0;
	if (a == b) return p < q ? p : q;
	if (chk.count(make_pair(a,b))) return chk[make_pair(a,b)];
	long long &r = chk[make_pair(a,b)];
	if (a > b){
		long long d = a / b;
		r = p + go(b,a%b);
		r = min(r, p * 2 + go(a%b,b));
		r = min(r, q * d + go(a-b*d,b));
	}
	else{
		long long d = b / a;
		r = p * 2 + go(a,b%a);
		r = min(r, q * d + go(a,b-a*d));
	}
	return r;
}
int main()
{
	int T; scanf ("%d",&T); while (T--){
		scanf ("%lld %lld %lld %lld",&a,&b,&p,&q);
		chk.clear();
		printf ("%lld\n",go(a,b));
	}
	return 0;
}
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