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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#763948 | #9622. 有限小数 | lonelywolf | WA | 26ms | 3660kb | C++20 | 1.5kb | 2024-11-19 22:57:34 | 2024-11-19 22:57:37 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
int exgcd(int a, int b, int &x, int &y)
{
if (!b)
{
x = 1, y = 0;
return a;
}
int g = exgcd(b, a % b, y, x);
y -= a / b * x;
return g;
}
// ax + by = c, 可求解线性同余方程 ax === b (mod c)
bool liEu(int a, int b, int c, int &x, int &y)
{
int d = exgcd(a, b, x, y);
if (c % d != 0)
return false;
int k = c / d;
x *= k;
y *= k;
return true;
}
const int inf = 1e9;
void solve()
{
int a, b;
cin >> a >> b;
int tb = b;
while (tb % 2 == 0)
{
tb /= 2;
}
while (tb % 5 == 0)
{
tb /= 5;
}
auto calc = [&](int d)
{
int z = (d * a + tb * tb - 1) / (tb * tb) * (tb * tb) - d * a;
int x, y;
liEu(b, tb * tb, z, x, y);
if (x < 0)
{
int tx = x;
int f = (tb * tb) / gcd(tb * tb, b);
x += 2 * (abs(x) + f - 1) / f * f;
x %= f;
}
return x;
};
int ans = 1e18, ansd;
for (int i = tb; i <= inf; i *= 5)
{
for (int j = i; j <= inf; j *= 2)
{
if (ans > calc(j)) {
ans = calc(j), ansd = j;
}
}
}
cout << ans << " " << ansd << "\n";
}
signed main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int t = 1;
cin >> t;
while (t--)
{
solve();
}
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3596kb
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: 26ms
memory: 3660kb
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 3 70 1 231680000 23 3936 1 36096000 5 326 1 63360 0 1 1 31232 0 1 1 4880 1 44032 1 757760 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 24 6200 1 3 3 347500 1 944 1 43600 1 76 1 1761280 1 6336 ...
result:
wrong answer Jury found better answer than participant's 1 < 3 (Testcase 4)