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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#747857 | #9622. 有限小数 | wei177 | WA | 118ms | 3720kb | C++17 | 2.1kb | 2024-11-14 18:30:14 | 2024-11-14 18:30:14 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define N 200005
typedef long long ll;
const ll e9 = 1000000000;
vector<ll> rec;
ll gcd(ll a, ll b) {
if (b == 0)
return a;
return gcd(b, a % b);
}
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 temp = x; x = y; y = temp - y * (a / b);
return d;
}
ll cal(ll a, ll b, ll c)
{
ll x, y;
ll gcd = exgcd(a, b, x, y);
if (c % gcd != 0) return -1;
x *= c / gcd;//转化为a*x+b*y=c的解
b /= gcd;//约去c后原来b就变为了b/gcd;
if (b < 0) b = -b;//如果b为负数就去绝对值
ll ans = x % b;
if (ans <= 0) ans += b;//求最小正整数解
return ans;//返回的就是最小正整数解
}
void solve() {
ll a, b;
cin >> a >> b;
ll w = b;
while (w % 2 == 0)
w /= 2;
while (w % 5 == 0)
w /= 5;
ll minc = e9, ansd = e9;
for (auto e : rec)
{
ll c, k;
//aew = ww * k + b(-c)
//ae = w * k + eb(-c)
ll eb = b / w;
k = cal(w, eb, a * e);
ll de = (a * e - w * k) / w;
if ((a * e - w * k) % w)
de++;
if (de > 0)
k += de;
ll d = w * e;
c = (w * k - a * e) / eb;
ll g_cd = gcd(c, d);
c /= g_cd;
d /= g_cd;
if (c < minc && d <= e9) {
minc = c;
ansd = d;
}
else if (c == minc && d < ansd) {
minc = c;
ansd = d;
}
}
cout << minc << " " << ansd << "\n";
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int t = 1;
cin >> t;
ll x1 = 1;
for (int i = 1; i <= 32; i++) {
ll x2 = 1;
for (int j = 1; j <= 20; j++){
if (x1 > e9 || x2 > e9)
continue;
if (x1 * x2 > e9)
continue;
rec.push_back(x1 * x2);
x2 *= 5;
}
x1 *= 2;
}
while(t--){
solve();
}
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3648kb
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: 118ms
memory: 3720kb
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:
0 1 1 54272 0 1 0 1 1 231680000 23 3936 1 36096000 5 326 1 63360 0 1 1 31232 0 1 1 4880 0 1 0 1 1 11714560 1 331250 1 2944 1 31 0 1 1 289600000 1 455000 1 58880 1 51840 0 1 0 1 0 1 1 415 1 19328000 1 765000000 0 1 1 608 1 72192 0 1 0 1 3 347500 1 944 1 43600 0 1 1 430000 1 6336 1 29184 11 795000 0 1...
result:
wrong answer The result is not terminating.(Testcase 1)