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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#744355 | #9622. 有限小数 | Rosmontispes | WA | 82ms | 3560kb | C++20 | 2.2kb | 2024-11-13 21:39:04 | 2024-11-13 21:39:04 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const int inf = 1e9;
long long exgcd(long long a,long long b,long long &x,long long &y)
{
if(!b)
{
x = 1,y = 0;
return a;
}
else
{
long long g = exgcd(b,a % b,y,x);
y -= a / b * x;
return g;
}
}
void solve()
{
long long a,b;
cin>>a>>b;
long long w = 1;
long long p = b;
while(p % 2 == 0)
p /= 2,w *= 2;
while(p % 5 == 0)
p /= 5,w *= 5;
if(p == 1){
cout<<0<<" "<<1<<"\n";
return;
}
long long x,y;
long long g = exgcd(p,a,x,y);
long long c = g;
long long d = c / g;
//x大于等于0的最小解,在这基础上x + b/g,y - a/g为一个新解
x = ((__int128)(x * d) % (a / g) + a / g) % (a / g);
y = (c - p * x) / a;
if(y >= 0){
long long k = y / (p / g);
y -= k * (p / g);
x += k * (a / g);
if(y >= 0){
y -= p / g;
x += a / g;
}
}
y = -y;
// cout<<p<<" "<<x<<" "<<a<<" "<<y<<" "<<p / g<<" "<<a / g<<"\n";
// cout<<3 * g<<" "<<b * (-y)<<"\n";
long long ans = 1e9,bot = 0;
for(long long i = 1;b * i <= inf;i *= 5){
for(long long j = 1;b * i * j <= inf;j *= 2){
long long cc = i * j;
long long aa = y,bb = p / g;
long long xx,yy;
long long gg = exgcd(aa,bb,xx,yy);
//y + k * p / g = cc
if(cc % gg != 0)
continue;
long long dd = cc / gg;
xx = ((__int128)(xx * dd) % (bb / gg) + bb / gg) % (bb / gg);
yy = (cc - aa * xx) / bb;
// if(cc == 4){
long long ansc = (xx * x + (a / g) * yy) * p - cc * a;
long long rg = __gcd(ansc,b * cc);
if(ansc / rg < ans){
ans = ansc / rg;
bot = b * cc / rg;
}
// }
}
}
cout<<ans<<" "<<bot<<"\n";
}
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
int T;
std::cin >> T;
while (T--) {
solve();
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3500kb
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: 82ms
memory: 3560kb
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 12 1 54272 1 60 1 7 1 231680000 23 3936 1 36096000 5 326 1 63360 0 1 1 31232 0 1 1 4880 1 44032 1 757760 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 48 3 347500 1 944 1 43600 1 76 1 1761280 1 6336 ...
result:
wrong answer Jury found better answer than participant's 1 < 2 (Testcase 8812)