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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#739390 | #9622. 有限小数 | qzhfx | WA | 22ms | 3592kb | C++23 | 2.0kb | 2024-11-12 21:38:38 | 2024-11-12 21:38:43 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int N = 1e6 + 7;
const int mod = 998244353;
const int L = 1e9;
// #define ll __int128
// 求解不定方程 ax+by=c 的最小整数解 x
ll exgcd(ll a, ll b, ll &x, ll &y)
{
if (!b)
{
x = 1;
y = 0;
return a;
}
ll ans = exgcd(b, a % b, x, y);
ll tmp = x;
x = y;
y = tmp - a / b * y;
return ans;
}
ll x, y;
ll cal(ll a, ll b, ll c)
{
x = 0, y = 0;
ll ans = exgcd(a, b, x, y);
if (c % ans)
return -1;
x *= c / ans;
b /= ans;
// y *= c / ans;
if (b < 0)
b = -b;
x = (x % b + b) % b;
return x;
}
std::vector<ll> px;
void solve()
{
int a, b;
cin >> a >> b;
ll p = b, k = 1;
while (p % 2 == 0)
{
p /= 2;
k *= 2;
}
while (p % 5 == 0)
{
p /= 5;
k *= 5;
}
long long c = 1e18, t = 0;
auto check = [&](ll id)
{
c = cal(k, p, - a * id);
};
ll d = 1;
ll cx = 1e18, ct = 0;
for (auto pd : px)
{
// cerr << pd << '\n';
ll s = pd;
check(s);
if (c >= 0 && cx > c && d * p <= L)
{
// cerr << pd << " " << c << '\n';
cx = c;
d = pd;
}
}
cout << cx << " " << d * p << '\n';
}
int main()
{
ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
// px.push_back(1);
for (int i = 0;; i++)
{
ll now = 1;
int x = i;
while (x--)
{
now *= 2;
}
if (now > L)
break;
for (int j = 0;; j++)
{
int y = j;
while (y--)
{
now *= 5;
}
if (now > L)
break;
px.push_back(now);
}
}
sort(px.begin(), px.end());
int _ = 1;
cin >> _;
while (_--)
solve();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3576kb
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
Wrong Answer
time: 22ms
memory: 3592kb
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 3 1 54272 1 6 1 7 7 90500 23 3936 1 36096000 4 1591796875 1 63360 0 1 1 31232 0 1 1 4880 1 10750 1 18500 1 11714560 1 53000000 1 2944 1 31 1 6 5 1448000000 8 888671875 1 58880 1 51840 0 1 1 304 0 1 1 415 1 19328000 1 20054016000 1 4640 1 608 1 72192 11 1240 1 3 9 1112000000 1 944 3 109 1 76 1 1761...
result:
wrong answer Jury found better answer than participant's 1 < 7 (Testcase 5)