Submission #12163

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
12163	2014-12-21T12:51:04 Z	xhae	Min-cost GCD (GA9_mcg)	C++14	57 / 100	1000 ms	1212 KB

mcg

#include <map>
#include <cstdio>
#include <algorithm>
 
using namespace std;
 
map<pair<long long, long long>, long long> dp;
 
long long a, b, p, q;
const long long INF = 1000000ll * 1000000ll * 500000ll;
 
long long getAns(long long a, long long b)
{
    if(a == 0 || b == 0) return 0;
 
    pair<long long, long long> cur = make_pair(a, b);
    if(dp.count(cur)) return dp[cur];
     
    long long ret = p + getAns(b, a % b);
 
    if(a >= b)
    {
        long long howMany = a / b;
        if(howMany <= ret / q + 1)
        {
            long long cand = howMany * q + getAns(a % b, b);
            ret = min(cand, ret);
        }
    }
    else
    {
        long long howMany = b / a;
        if(howMany <= ret / q + 1)
        {
            long long cand = howMany * q + getAns(a, b % a);
            ret = min(cand, ret);
        }
    }
 
    return dp[cur] = ret;
}
 
int main(void)
{
    int T;
    scanf("%d", &T);
    while(T--)
    {
        scanf("%lld %lld %lld %lld", &a, &b, &p, &q);
        dp.clear();
        printf("%lld\n", getAns(a, b));
    }
 
    return 0;
}

Subtask #1

14.0 / 14.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	1212 KB	Output is correct
2	Correct	0 ms	1212 KB	Output is correct
3	Correct	0 ms	1212 KB	Output is correct
4	Correct	0 ms	1212 KB	Output is correct
5	Correct	0 ms	1212 KB	Output is correct
6	Correct	0 ms	1212 KB	Output is correct
7	Correct	0 ms	1212 KB	Output is correct
8	Correct	0 ms	1212 KB	Output is correct
9	Correct	0 ms	1212 KB	Output is correct
10	Correct	0 ms	1212 KB	Output is correct

Subtask #2

16.0 / 16.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	172 ms	1212 KB	Output is correct
2	Correct	206 ms	1212 KB	Output is correct
3	Correct	204 ms	1212 KB	Output is correct
4	Correct	206 ms	1212 KB	Output is correct
5	Correct	171 ms	1212 KB	Output is correct
6	Correct	206 ms	1212 KB	Output is correct
7	Correct	208 ms	1212 KB	Output is correct
8	Correct	180 ms	1212 KB	Output is correct
9	Correct	204 ms	1212 KB	Output is correct
10	Correct	187 ms	1212 KB	Output is correct
11	Correct	201 ms	1212 KB	Output is correct
12	Correct	168 ms	1212 KB	Output is correct
13	Correct	191 ms	1212 KB	Output is correct
14	Correct	2 ms	1212 KB	Output is correct
15	Correct	2 ms	1212 KB	Output is correct
16	Correct	2 ms	1212 KB	Output is correct
17	Correct	0 ms	1212 KB	Output is correct

Subtask #3

27.0 / 27.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	1212 KB	Output is correct
2	Correct	6 ms	1212 KB	Output is correct
3	Correct	5 ms	1212 KB	Output is correct
4	Correct	4 ms	1212 KB	Output is correct
5	Correct	6 ms	1212 KB	Output is correct
6	Correct	4 ms	1212 KB	Output is correct
7	Correct	5 ms	1212 KB	Output is correct
8	Correct	6 ms	1212 KB	Output is correct
9	Correct	4 ms	1212 KB	Output is correct
10	Correct	5 ms	1212 KB	Output is correct
11	Correct	6 ms	1212 KB	Output is correct
12	Correct	4 ms	1212 KB	Output is correct
13	Correct	5 ms	1212 KB	Output is correct
14	Correct	2 ms	1212 KB	Output is correct
15	Correct	0 ms	1212 KB	Output is correct
16	Correct	2 ms	1212 KB	Output is correct
17	Correct	0 ms	1212 KB	Output is correct
18	Correct	2 ms	1212 KB	Output is correct
19	Correct	7 ms	1212 KB	Output is correct
20	Correct	5 ms	1212 KB	Output is correct
21	Correct	7 ms	1212 KB	Output is correct
22	Correct	8 ms	1212 KB	Output is correct
23	Correct	8 ms	1212 KB	Output is correct
24	Correct	7 ms	1212 KB	Output is correct
25	Correct	0 ms	1212 KB	Output is correct
26	Correct	5 ms	1212 KB	Output is correct
27	Correct	7 ms	1212 KB	Output is correct
28	Correct	7 ms	1212 KB	Output is correct
29	Correct	7 ms	1212 KB	Output is correct
30	Correct	7 ms	1212 KB	Output is correct
31	Correct	5 ms	1212 KB	Output is correct

Subtask #4

0.0 / 43.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	936 ms	1212 KB	Output is correct
2	Correct	947 ms	1212 KB	Output is correct
3	Correct	938 ms	1212 KB	Output is correct
4	Correct	951 ms	1212 KB	Output is correct
5	Correct	945 ms	1212 KB	Output is correct
6	Correct	928 ms	1212 KB	Output is correct
7	Correct	947 ms	1212 KB	Output is correct
8	Correct	933 ms	1212 KB	Output is correct
9	Correct	951 ms	1212 KB	Output is correct
10	Correct	938 ms	1212 KB	Output is correct
11	Correct	938 ms	1212 KB	Output is correct
12	Correct	940 ms	1212 KB	Output is correct
13	Correct	940 ms	1212 KB	Output is correct
14	Execution timed out	1000 ms	1212 KB	Program timed out
15	Halted	0 ms	0 KB	-