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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#738728 | #9622. 有限小数 | huo_hua_ya | TL | 1ms | 3644kb | C++23 | 1.7kb | 2024-11-12 19:48:31 | 2024-11-12 19:48:35 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int N = 1e6 + 7;
const int mod = 998244353;
#define int __int128
std::vector<int> vc;
void solve()
{
ll a, b;
cin >> a >> b;
int aa = a,bb = b;
ll c = 1e9, d = 1e9;
for (auto x : vc)
{
int l = 0, r = min((int)1e9,x);
auto check = [&](int mid)
{
double ab = 1.0 * a / b;
double now = 1.0 * mid / x;
if (now < ab)
return false;
else
return true;
};
while (l < r)
{
int mid = l + r >> 1;
if (check(mid))
r = mid;
else
l = mid + 1;
}
// int lt = b * l, at = x * a;
// int gf = b * x;
// int tal = lt - at;
// int gc = __gcd(gf, tal);
// gf /= gc;
// tal /= gc;
// int bb = b;
int gc = __gcd(bb,x);
int gf = bb/gc*x;
int tal = l * bb/gc - aa*x/gc;
if (tal < c && gf <= 1e9 && gf >= 1)
{
c = tal, d = gf;
}
}
if (c == 1e9 || c == 0)
{
cout << 0 << ' ' << 1 << '\n';
return;
}
cout << c << ' ' << d << '\n';
}
signed main()
{
ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
for (int now = 1; now <= 1e15; now *= 2)
for (int tmp = 1; tmp <= 1e15; tmp *= 5)
{
__int128 sum = tmp * now;
if (sum > 1e15)
continue;
vc.push_back(now * tmp);
}
sort(vc.begin(), vc.end());
ll _ = 1;
cin >> _;
while (_--)
solve();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 3644kb
input:
4 1 2 2 3 3 7 19 79
output:
0 1 1 3 1 14 3 316
result:
ok 4 case(s)
Test #2:
score: -100
Time Limit Exceeded
input:
10000 11 12 28 53 17 60 2 35 17 181 80 123 68 141 79 163 71 99 13 64 33 61 15 32 16 61 11 86 33 74 128 143 40 53 7 23 30 31 5 6 86 181 73 91 13 23 71 81 1 2 7 38 117 160 33 83 129 151 88 153 25 58 16 19 19 141 95 124 43 96 71 139 11 59 106 109 93 152 34 43 17 99 1 57 20 159 16 25 5 73 159 170 172 17...
output:
1 12 1 54272 1 60 1 350 1 231680000 23 3936 1 36096000 5 326 1 63360 0 1 1 31232 0 1 1 4880 1 10750 1 18500 1 11714560 1 331250 1 2944 1 31 1 6 1 289600000 1 455000 1 58880 1 51840 0 1 1 304 0 1 1 415 1 19328000 1 765000000 1 4640 1 608 1 72192 3 24800 1 480 3 347500 1 944 1 43600 1 1520 1 430000 1 ...