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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 |
---|---|---|---|---|---|---|---|---|---|
#740358 | #9622. 有限小数 | TDXIAO | WA | 35ms | 3828kb | C++20 | 1.5kb | 2024-11-13 09:19:48 | 2024-11-13 09:19:49 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define ll long long
const int mod = 1e9+7;
const int INF = 1e9;
const int N = 1e5+2;
ll exgcd(ll a, ll b, ll &x, ll &y) {
if (b == 0) {
x = 1;
y = 0;
return a;
}
ll d = exgcd(b, a%b, x, y);
ll t = x;
x = y;
y = t-(a/b)*y;
return d;
}
void solve() {
ll ta, tb;
cin>>ta>>tb;
ll q = tb;
ll t0 = 1;
while (q%2 == 0) q /= 2, t0 *= 2;
while (q%5 == 0) q /= 5, t0 *= 5;
vector<ll> v2, v5;
for (ll i = 1; i <= INF; i *= 2) {
v2.push_back(i);
}
for (ll i = 1; i <= INF; i *= 5) {
v5.push_back(i);
}
// ta*td + tb*tc = k*(tb0 * tb0)
ll ans = 1e18, ansb = -1;
for (auto vv2 : v2) {
for (auto vv5 : v5) {
if ((__int128)t0*vv2*vv5*q > INF) continue;
if (vv2*vv5 > INF) continue;
ll td = vv2*vv5*q;
if (td > INF) continue;
ll a = tb;
ll b = q*q;
ll c = -ta * td;
ll x, y;
ll d = exgcd(a, b, x, y);
if (c%d) continue;
a /= d, b /= d, c /= d;//同除公约数,不然遍历通解会有遗漏
x *= c, y *= c;//得到ax+by=c的一组解
x = (x%b + b)%b;
y = (c-a*x)/b;
// if (y > 0) continue;
if (ans > x) {
ans = x;
ansb = td;
}
}
}
cout<<ans<<' '<<ansb<<'\n';
}
int main()
{
if (ifstream("test.in")) {
freopen("test.in", "r", stdin);
freopen("test.out", "w", stdout);
}
ios::sync_with_stdio(false);
cin.tie(0);
int T = 1;
cin>>T;
while (T--) {
solve();
}
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3780kb
input:
4 1 2 2 3 3 7 19 79
output:
0 1 1 3 1 4375 3 316
result:
ok 4 case(s)
Test #2:
score: -100
Wrong Answer
time: 35ms
memory: 3828kb
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 828125000 1 15 1 7 1 231680000 23 960937500 1 36096000 5 326 1 63360 0 1 1 61000 0 1 1 4880 1 10750 1 18500 1 11714560 1 331250 1 898437500 1 31 1 15 1 289600000 1 455000 1 115000000 1 1265625 0 1 1 1484375 0 1 1 415 1 235937500 1 765000000 1 181250 1 2968750 1 4406250 3 775 1 3 3 347500 1 944...
result:
wrong answer Jury found better answer than participant's 1 < 2 (Testcase 597)