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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 |
---|---|---|---|---|---|---|---|---|---|
#772760 | #9622. 有限小数 | KeeperHihi | WA | 56ms | 3712kb | C++23 | 1.5kb | 2024-11-22 21:38:28 | 2024-11-22 21:38:28 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
i64 exgcd(i64 a, i64 b, i64 &x, i64 &y) {
if (b == 0) {
x = 1;
y = 0;
return a;
}
i64 gcd = exgcd(b, a % b, x, y);
i64 tmp = x;
x = y;
y = tmp - a / b * y;
return gcd;
}
i64 cal(i64 a, i64 b, i64 c) {
i64 x, y;
i64 gcd = exgcd(a, b, x, y);
if (c % gcd != 0) return -1;
x *= c / gcd;
b /= gcd;
i64 ansx = x % abs(b);
if (ansx <= 0) ansx += b;
return ansx;
}
// c 可以为负值!直接带入 -1 是没问题的!
// 调用cal即为解方程组 ax + by = c 的最小 x, 全部解为 x +- t * b / gcd(a, b); (t为任意整数)
#define int i64
const int inf = 1e12;
void solve() {
int a, b;
cin >> a >> b;
int t = b;
int k = b;
while (k % 2 == 0) k /= 2;
while (k % 5 == 0) k /= 5;
pair<int, int> ans = {inf, inf};
for (int i = 1; i * k <= inf; i *= 2) {
for (int j = 1; j * i * k <= inf; j *= 5) {
int d = i * j * a % k;
int x, y;
int g = exgcd(t / k, k, x, y);
x = (x % k + k) % k;
x = x * (k - d) % k;
ans = min(ans, {x, i * j * k});
}
}
cout << ans.first << ' ' << ans.second << "\n";
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
int t = 1;
cin >> t;
while (t--) {
solve();
}
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3712kb
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: 56ms
memory: 3668kb
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 1 231680000 23 3936 1 36096000 3 2086400000 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 3 775 1 3 1 3558400000 1 944 1 43600 1 76 1 430000 1...
result:
wrong answer Integer 2086400000 violates the range [1, 10^9]