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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KeeperHihiWA 56ms3712kbC++231.5kb2024-11-22 21:38:282024-11-22 21:38:28

Judging History

你现在查看的是最新测评结果

  • [2024-11-22 21:38:28]
  • 评测
  • 测评结果:WA
  • 用时:56ms
  • 内存:3712kb
  • [2024-11-22 21:38:28]
  • 提交

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]