This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define _CRT_SECURE_NO_WARNINGS
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <memory.h>
#include <math.h>
#include <assert.h>
#include <stack>
#include <queue>
#include <map>
#include <set>
#include <algorithm>
#include <string>
#include <functional>
#include <vector>
#include <deque>
#include <utility>
#include <bitset>
#include <limits.h>
using namespace std;
typedef long long ll;
typedef unsigned long long llu;
typedef double lf;
typedef unsigned int uint;
typedef long double llf;
typedef pair<int, int> pii;
typedef pair<ll, int> pli;
typedef pair<ll, ll> pll;
const ll INF = (ll)1e18 + 5;
ll mul (ll a, ll b) {
if(a >= INF || b >= INF) return INF;
if((double)INF / a < b) return INF;
return a * b;
}
pll solve (ll a, ll b, ll p, ll q) {
if(a * b == 0) return pll(0, 0);
pll last = solve(b, a%b, p, q);
// (b,a) = min((a,b)+p, (b,a%b)
// b <= a
if(a >= b) {
ll t = min(last.first + p, last.second + mul(q, a/b));
ll v = min(t + p, last.first + mul(q, a/b));
return pll(t, v);
}else {
return pll(last.second, last.first);
}
}
int main() {
int TC; scanf("%d", &TC);
while(TC--) {
ll a, b, p, q; scanf("%lld%lld%lld%lld", &a, &b, &p, &q);
printf("%lld\n", solve(a, b, p, q).first);
}
return 0;
}
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