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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#738062 | #9622. 有限小数 | huo_hua_ya# | WA | 25ms | 3624kb | C++23 | 1.3kb | 2024-11-12 17:37:27 | 2024-11-12 17:37:28 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int N = 1e6 + 7;
const int mod = 998244353;
#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;
}
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 = 0, t = 0;
auto check = [&](ll id) {
c = cal(k, a, p *id);
t = (id*p - 1ll * k * c) / a;
return t >= 0;
};
ll l = 1, r = 1e18;
while (l < r) {
ll mid = (l + r) >> 1;
if (check(mid))r = mid;
else l = mid + 1;
}
check(l);
long long d = t * p;
cout << c << " " << d << '\n';
}
int main()
{
ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
int _ = 1;
cin >> _;
while (_--)
solve();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3616kb
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: 25ms
memory: 3624kb
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:
6 0 25 53 0 27 1 7 11 1810 43 123 5 282 5 326 28 99 7 2 28 61 7 6 13 183 5 129 2 37 15 143 13 53 2 69 1 31 3 0 9 362 18 91 10 23 10 81 0 1 6 19 9 10 17 166 22 151 65 153 2 29 3 19 8 987 62 0 25 21 68 139 4 295 3 109 5 19 9 43 14 495 0 228 19 1113 3 1 3 1022 77 34 7 179 9 26 2 119 7 172 52 0 23 411 0...
result:
wrong answer Integer 0 violates the range [1, 10^9]